332354 + Interview Questions in Secondary School in Math Page 291 InterviewSolution

14501.	4/x+3y=8,6/x/4y=-5.
Answer» Answer: isme krna KIYA HAI YE to btao ??

14501.

4/x+3y=8,6/x/4y=-5.

Answer»

Answer:

isme krna KIYA HAI YE to btao ??

Discussion

14502.	If (a sin(x+a)=b sin(x-a)) then how can i prove that ((a+b)tan x+(a-b)sin a)=0
Answer» Answer: Equating length of line segments PQ1 and RT, it is proven that sin(A+B) = sin A cos B + cos A sin B. ... sin(A+B) proof in unit-circle FORM from nubtrek Q1 is (sinB, cosB) PQ1 = 2–2sinAcosB-2cosAsinB. RT = 2–2sin(A+B) PQ1 = RT PROVES the required identity.

14502.

If (a sin(x+a)=b sin(x-a)) then how can i prove that ((a+b)tan x+(a-b)sin a)=0

Answer»

Answer:

Equating length of line segments PQ1 and RT, it is proven that sin(A+B) = sin A cos B + cos A sin B.

...

sin(A+B) proof in unit-circle FORM from nubtrek

Q1 is (sinB, cosB)

PQ1 = 2–2sinAcosB-2cosAsinB.

RT = 2–2sin(A+B)

PQ1 = RT PROVES the required identity.

Discussion

14503.	The value oThecommonnees 12,21,25..16, 21, 26,findnumber of the Termseran-488 is 4% ThenKntic equal to what? to Find 2,
Answer» ANSWER: ñnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

14503.

The value oThecommonnees 12,21,25..16, 21, 26,findnumber of the Termseran-488 is 4% ThenKntic equal to what? to Find 2,

Answer»

ANSWER:

ñnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Discussion

14504.	Example 1 Discuss the continuity of the function f give(-2,4)x, if x 20f(x) =x?, if x < 0SolutionClearly the function is defined at
Answer» HOPE it is HELP ful please MARK as BRAINLIST

14504.

Example 1 Discuss the continuity of the function f give(-2,4)x, if x 20f(x) =x?, if x < 0SolutionClearly the function is defined at

Answer»

HOPE it is HELP ful

please MARK as BRAINLIST

Discussion

14505.	Of the sequation 48 m 12x²+ m²=0(m) o) has town read sais, whichare in AP. Then find the value of me
Answer» Answer: just solve this QUADRATIC EQUATIONS by formula method u GET urs answer perfectly

14505.

Of the sequation 48 m 12x²+ m²=0(m) o) has town read sais, whichare in AP. Then find the value of me

Answer»

Answer:

just solve this QUADRATIC EQUATIONS by formula method u GET urs answer perfectly

Discussion

14506.	Solve the equation x /2 +2y /3=-1 & x-y/3 =3 by substitution method.
Answer» Step-by-step explanation: HEY MATE UR ANSWER in Image

14506.

Solve the equation x /2 +2y /3=-1 & x-y/3 =3 by substitution method.

Answer»

Step-by-step explanation:

HEY MATE UR ANSWER in Image

Discussion

14507.	Insert tive rational number between 6.0 and 6.1
Answer» ANSWER: there are INFINITE RATIONAL no.s between TWO NUMBERS..........

14507.

Insert tive rational number between 6.0 and 6.1

Answer»

ANSWER:

there are INFINITE RATIONAL no.s between TWO NUMBERS..........

Discussion

14508.	Design and compute Rc Lag Compensator for an overdamped system having a gain as 19,steady state error60dB and phase margin >80?
Answer» Answer: Hi Dear....here is your answer..... given, ZEROES are 1/2+2√3 and 1/2-2√3 sum of zeroes = 1/2+2√3 + 1/2-2√3 = 1/2 + 1/2 = 1 product of zeroes = 1/2+2√3 x 1/2-2√3 = [ 1/2 ] ² - [ 2√3 ]² = 1/4 - 12 = 1/4 - 48 / 4 = -47 /4 Quadratic equation x² - [ sum of zeroes ]x + product of zeroes =x² - x + -47/4........

14508.

Design and compute Rc Lag Compensator for an overdamped system having a gain as 19,steady state error60dB and phase margin >80?

Answer»

Answer:

Hi Dear....here is your answer.....

given,

ZEROES are 1/2+2√3 and 1/2-2√3

sum of zeroes = 1/2+2√3 + 1/2-2√3

= 1/2 + 1/2

= 1

product of zeroes = 1/2+2√3 x 1/2-2√3

= [ 1/2 ] ² - [ 2√3 ]²

= 1/4 - 12

= 1/4 - 48 / 4

= -47 /4

Quadratic equation

x² - [ sum of zeroes ]x + product of zeroes

=x² - x + -47/4........

Discussion

14509.	PLEASE PLEASE SOLVE THIS FAST (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)
Answer» ANSWER: THE CORRECT OPTION IS D....... HOPE IT HELPS U

14509.

PLEASE PLEASE SOLVE THIS FAST (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)

Answer»

ANSWER:

THE CORRECT OPTION IS D.......

HOPE IT HELPS U

Discussion

14510.	1. Express each of the following numbers as a product of its prime factors.(i) 140(ii) 156 (ii) 3825 (iv) 5005 (v) 7429in LCM method
Answer» Answer: it is very EASY u can do with the example. Step-by-step explanation: please don't FORGET to THANK and follow me . i will also follow u back!!

14510.

1. Express each of the following numbers as a product of its prime factors.(i) 140(ii) 156 (ii) 3825 (iv) 5005 (v) 7429in LCM method

Answer»

Answer:

it is very EASY u can do with the example.

Step-by-step explanation:

please don't FORGET to THANK and follow me . i will also follow u back!!

Discussion

14511.	Why is the use of sustainability important that you may have observed around you?
Answer» The ISSUE of sustainability is important for development because if the natural RESOURCES are not used carefully, they may not be available for FUTURE generations. The DEPLETING resources of a country may ultimately result in a lack of development of the country HOPE IT HELPS U.... PLEASE MARK AS BRAILIAST ANSWER

14511.

Why is the use of sustainability important that you may have observed around you?

Answer»

The ISSUE of sustainability is important for development because if the natural RESOURCES are not used carefully, they may not be available for FUTURE generations. The DEPLETING resources of a country may ultimately result in a lack of development of the country

HOPE IT HELPS U....

PLEASE MARK AS BRAILIAST ANSWER

Discussion

14512.	4×4+4++4+4+4+4+4+4+4+4++44++4+4+4+4
Answer» ANSWER: 400 is CORRECT answer than MARK as BRAINLLIST,

14512.

4×4+4++4+4+4+4+4+4+4+4++44++4+4+4+4

Answer»

ANSWER:

400 is CORRECT answer than MARK as BRAINLLIST,

Discussion

14513.	Find the mode of the following distribution 3Classes :20-40 40-60 60 - 8060 - 80 80-10081012164Frequency:16
Answer» HOPE this is HELPFUL

14513.

Find the mode of the following distribution 3Classes :20-40 40-60 60 - 8060 - 80 80-10081012164Frequency:16

Answer»

HOPE this is HELPFUL

Discussion

14514.	PLEASE PLEASE SOLVE THIS FAST AND SHOW ALL WORKING OUTS (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)
Answer» HI mate here is your ANSWER . . . HOPE it helped❤^_^✌

14514.

PLEASE PLEASE SOLVE THIS FAST AND SHOW ALL WORKING OUTS (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)

Answer»

HI mate

here is your ANSWER

.

HOPE it helped❤^_^✌

Discussion

14515.	X^3+2x^2-x-2 using factor method factorise each of the following polynomial
Answer» _______________________ Question:- x^3+2x^2-x-2 using factor method FACTORISE each of the following polynomial ______________________ Solution:- (x-1)(x+1)(x-2) EXPLANATION:- x^3-2x^2-x+2 =x^3-x-2x^2+2 Grouping the 1^(st 2 terms together and the 2^(nd 2 together) =x(x^2-1)-2(x^2-1) =(x^2-1)(x-2) Using the identity: a^2-b^2=(a+b)(a-b) =(x^2-1^2)(x-2) =(x-1)(x+1)(x-2) . For factorizing other CUBIC polynomials, the following method can be used: First, by trial and error method, you can find one factor as follows: x^3-2x^2-x+2 When REPLACING 1, =1^3-2xx1^2-1+2. =>cancel1-cancel2-cancel1+cancelled =>0 So, we GET (x-1) as factor. Then by long division, divide (x-1) by (x^3-2x^2-x+2) You get=>(x-1)(x^2-x-2) Then you have to factorize it by splitting the middle term method. =>(x-1)[x^2+x-2x-2] =>(x-1)[x(x+1)-2(x+1)] =>(x-1)(x+1)(x-2) ~Hope this helps! :)

14515.

X^3+2x^2-x-2 using factor method factorise each of the following polynomial

Answer»

_______________________

Question:-

x^3+2x^2-x-2 using factor method FACTORISE each of the following polynomial

______________________

Solution:-

(x-1)(x+1)(x-2)

EXPLANATION:-

x^3-2x^2-x+2

=x^3-x-2x^2+2

Grouping the 1^(st 2 terms together and the 2^(nd 2 together)

=x(x^2-1)-2(x^2-1)

=(x^2-1)(x-2)

Using the identity: a^2-b^2=(a+b)(a-b)

=(x^2-1^2)(x-2)

=(x-1)(x+1)(x-2)

. For factorizing other CUBIC polynomials, the following method can be used:

First, by trial and error method, you can find one factor as follows:

x^3-2x^2-x+2

When REPLACING 1,

=1^3-2xx1^2-1+2.

=>cancel1-cancel2-cancel1+cancelled

=>0

So, we GET (x-1) as factor.

Then by long division, divide (x-1) by (x^3-2x^2-x+2)

You get=>(x-1)(x^2-x-2)

Then you have to factorize it by splitting the middle term method.

=>(x-1)[x^2+x-2x-2]

=>(x-1)[x(x+1)-2(x+1)]

=>(x-1)(x+1)(x-2)

~Hope this helps! :)

Discussion

14516.	if c,d are the rootsof (x-a) (x-b) -k=0,then the roots of (x-c) (x-d+k=0are A: b, c. B:a,b. C,:a, c. D:a,d
Answer» ANSWER: Since α,β and γ are the roots of the equation(x−a)(x−b)(x−c)−d=0. So we have α+β+γ=a+b+c ...(1) αβ+βγ+γα=ab+bc+ca ...(2) αβγ=abc+d ...(3) SIMILARLY, for the equation (x−α)(x−β)(x−γ)+d=0, we have α+β+γ=a+b+c (from (1)) αβ+βγ+γα=ab+bc+ca (from (2)) And αβγ−d=abc (from (3)) THEREFORE CLEARLY a,b and c will be the roots of the equation (x−α)(x−β)(x−γ)+d=0.

14516.

if c,d are the rootsof (x-a) (x-b) -k=0,then the roots of (x-c) (x-d+k=0are A: b, c. B:a,b. C,:a, c. D:a,d

Answer»

ANSWER:

Since α,β and γ are the roots of the equation(x−a)(x−b)(x−c)−d=0.

So we have

α+β+γ=a+b+c ...(1)

αβ+βγ+γα=ab+bc+ca ...(2)

αβγ=abc+d ...(3)

SIMILARLY, for the equation (x−α)(x−β)(x−γ)+d=0, we have

α+β+γ=a+b+c (from (1))

αβ+βγ+γα=ab+bc+ca (from (2))

And αβγ−d=abc (from (3))

THEREFORE CLEARLY a,b and c will be the roots of the equation (x−α)(x−β)(x−γ)+d=0.

Discussion

14517.	Gabriella filled her fishbowl with 4 cups of water. How many fluid ounces did she put in the fishbowl? 32 ounces 36 ounces 48 ounces 54 ounces
Answer» ANSWER: 32 FLUID ounces. please MARK as BRAINLIST answer and FOLLOW me

14517.

Gabriella filled her fishbowl with 4 cups of water. How many fluid ounces did she put in the fishbowl? 32 ounces 36 ounces 48 ounces 54 ounces

Answer»

ANSWER:

32 FLUID ounces.

please MARK as BRAINLIST answer and FOLLOW me

Discussion

14518.	9. A pair of die is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.Hint: Favourable cases are (5,5) and (5, 6)]
Answer» Answer: 1/18 if two dice are rolled , out comes of the number on them can be EXPRESSED as FOLLOWS: (1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4), (5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) TOTAL number of out comes = n(S) = 6×6 = 36 Let the event that getting a sum of 10 or more , if 5 appears on the first die be E Possible OUTCOMES to E = (5,5) and (5,6). Number of possible outcomes to 'E' = n(E)=2 2/36 1/18 this is your answer ✔️✔️

14518.

9. A pair of die is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.Hint: Favourable cases are (5,5) and (5, 6)]

Answer»

Answer:

1/18

if two dice are rolled , out comes of the number on them can be EXPRESSED as FOLLOWS:

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),

(5,1),(5,2),(5,3),(5,4), (5,5),(5,6),

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

TOTAL number of out comes = n(S) = 6×6 = 36

Let the event that getting a sum of 10 or more , if 5 appears on the first die be E

Possible OUTCOMES to E = (5,5) and (5,6).

Number of possible outcomes to 'E' = n(E)=2

2/36

1/18

this is your answer ✔️✔️

Discussion

14519.	Tom run three times around a square field he covered a distance of 12 km what is the area of the field
Answer» Answer: let the 1 ROUND of sqare field = X three time around = 3x according to question 3x= 12 x = 4 let it one side be y PERIMETER = 4Y 4y= 4 y= 1 AREA is side ×side area = 1×1 area = 1

14519.

Tom run three times around a square field he covered a distance of 12 km what is the area of the field

Answer»

Answer:

let the 1 ROUND of sqare field = X

three time around = 3x

according to question

3x= 12

x = 4

let it one side be y

PERIMETER = 4Y

4y= 4

y= 1

AREA is side ×side

area = 1×1

area = 1

Discussion

14520.	A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of 15 ft/sec. At what rate is the distance between the hunter and the bullet increasing i) 20 seconds after liftoff? ii) 1 minute after liftoff?
Answer» Step-by-step explanation: konsi CLASS ka QUESTION hai YO bolo

14520.

A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of 15 ft/sec. At what rate is the distance between the hunter and the bullet increasing i) 20 seconds after liftoff? ii) 1 minute after liftoff?

Answer»

Step-by-step explanation:

konsi CLASS ka QUESTION hai YO bolo

Discussion

14521.	the two zeroes of a quaratic polynomial -4and -6find the sum and products of the zero. what is the values of coefficients b
Answer» Answer: b= 10, C=24 Step-by-step explanation: SUM of zeroes of quadratic polynomial = -COEFFICIENT of x product of zeroes of quadratic polynomial = CONSTANT term so for p(x) = ax^2 + bx + c => -4 + -6 = - b => b= 10 and => -4 x -6 = c => c = 24 therefore p(x) = ax^2-10x+24

14521.

the two zeroes of a quaratic polynomial -4and -6find the sum and products of the zero. what is the values of coefficients b

Answer»

Answer: b= 10, C=24

Step-by-step explanation:

SUM of zeroes of quadratic polynomial = -COEFFICIENT of x

product of zeroes of quadratic polynomial = CONSTANT term

so for p(x) = ax^2 + bx + c

=> -4 + -6 = - b

=> b= 10

and

=> -4 x -6 = c

=> c = 24

therefore p(x) = ax^2-10x+24

Discussion

14522.	The cash price for furniture for all rooms of a three-bed-room house is $ 3851. The furniture can be financed by paying $ 500 down and $ 86 per month for 48 months. However, instead of making the thirty minus sixth payment the borrower decides to pay the remaining balance and terminate the loan for the furniture Table 5 Annual Percentage Rate (APR) for Monthly Payment Loans Number of Monthly Payments (n) Annual Percentage Rate (APR) 10.0% 10.5% 11.0% 11.5% 12.0% 12.5% 13.0% Finance Charge per $100 of Amount Financed (h) 6 $2.94 $3.08 $3.23 $3.38 $3.53 $3.68 $3.83 12 5.50 5.78 6.06 6.34 6.62 6.90 7.18 18 8.10 8.52 8.93 9.35 9.77 10.19 10.61 36 16.16 17.01 17.86 18.71 19.57 20.43 21.30 48 21.74 22.90 24.06 25.23 26.40 27.58 28.77 60 27.48 28.96 30.45 31.96 33.47 34.99 36.52
Answer» Answer: BHAI YA question bhout BADA H

14522.

The cash price for furniture for all rooms of a three-bed-room house is $ 3851. The furniture can be financed by paying $ 500 down and $ 86 per month for 48 months. However, instead of making the thirty minus sixth payment the borrower decides to pay the remaining balance and terminate the loan for the furniture Table 5 Annual Percentage Rate (APR) for Monthly Payment Loans Number of Monthly Payments (n) Annual Percentage Rate (APR) 10.0% 10.5% 11.0% 11.5% 12.0% 12.5% 13.0% Finance Charge per $100 of Amount Financed (h) 6 $2.94 $3.08 $3.23 $3.38 $3.53 $3.68 $3.83 12 5.50 5.78 6.06 6.34 6.62 6.90 7.18 18 8.10 8.52 8.93 9.35 9.77 10.19 10.61 36 16.16 17.01 17.86 18.71 19.57 20.43 21.30 48 21.74 22.90 24.06 25.23 26.40 27.58 28.77 60 27.48 28.96 30.45 31.96 33.47 34.99 36.52

Answer»

Answer:

BHAI YA question bhout BADA H

Discussion

14523.	& A spinner is made from a regular octagon. It is labelled with three As,two Bs and three Cs. Each of the sides is equally likely to be resting onthe table when it stops spinning. Calculate(a) P(A resting on the table)(b) P(B resting on the table)(c) P(not Cresting on the table)
Answer» <P>ANSWER: p (B RESTING on the table)

14523.

& A spinner is made from a regular octagon. It is labelled with three As,two Bs and three Cs. Each of the sides is equally likely to be resting onthe table when it stops spinning. Calculate(a) P(A resting on the table)(b) P(B resting on the table)(c) P(not Cresting on the table)

Answer»

<P>ANSWER:

p (B RESTING on the table)

Discussion

14524.	वह न्यूनतम संख्या क्या है जो 1936 में से घटायी जा सकती हो ताकि 9,10,15 सेविभाजित किए जाने पर प्रत्येक बार शेषफल 7 हो?A)93 B)46 C)76 b)39
Answer» Answer: can you PLEASE tell me in ENGLISH please Step-by-step EXPLANATION: PLZ MARK as branilest answer please

14524.

वह न्यूनतम संख्या क्या है जो 1936 में से घटायी जा सकती हो ताकि 9,10,15 सेविभाजित किए जाने पर प्रत्येक बार शेषफल 7 हो?A)93 B)46 C)76 b)39

Answer»

Answer:

can you PLEASE tell me in ENGLISH please

Step-by-step EXPLANATION:

PLZ MARK as branilest answer please

Discussion

14525.	Match each sampling method with an example using that approach
Answer» ANSWER: eggajfVbagwuwiwisushsgisjwjbwbsbshvzvssshavaavvsjsiaiwhvwvavsbbzbzvavababzbhs

14525.

Match each sampling method with an example using that approach

Answer»

ANSWER:

eggajfVbagwuwiwisushsgisjwjbwbsbshvzvssshavaavvsjsiaiwhvwvavsbbzbzvavababzbhs

Discussion

14526.	21.0+Sin ocosecsin o
Answer» $j046x + { \div > \| \| > = \frac{y - ( {30\pi \gamma \pi \beta }^{ ln( \sin( \cos(3) ) ) } }{\pi} \| \| }^{2} 1364301 { {x \frac{35}{25603495} }^{skkj} }^{2}$ ↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑ the ANSWER is ACCORDING to QUESTION (⌐■-■)✌️

14526.

21.0+Sin ocosecsin o

Answer»

$j046x + { \div > | | > = \frac{y - ( {30\pi \gamma \pi \beta }^{ ln( \sin( \cos(3) ) ) } }{\pi} | | }^{2} 1364301 { {x \frac{35}{25603495} }^{skkj} }^{2}$

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

the ANSWER is ACCORDING to QUESTION

(⌐■-■)✌️

Discussion

14527.	In an acute angled triangle ABC, AD is the median then prove that AD² = AB²/ 2 + AC²/ 2 - BC²/ 4
Answer» Step-by-step explanation: Given An ACUTE triangle ABC with AD as MEDIAN To prove AD² = AB²/ 2 + AC²/ 2 - BC²/ 4 Construction Draw AE perpendicular to BC. Proof In triangle ABE, by Pythagoras Theorem AB² = BE² + AE² ........(1) In triangle ACE, by Pythagoras Theorem AC² = CE² + AE²..........(2) In triangle AED, by Pythagoras Theorem AD² = AE² + ED²..........(3) Also in triangle ABC EC - BE = (ED + DC) - (BD - ED) = ED + BD - BD + ED ( SINCE AD is median BD = DC) = 2ED or EC - BE = 2ED ,........(4) Adding (1) and (2) we get AB² +AC² = BE² + EC² + 2AE² or AE² = (AB² +AC² - BE² - EC²)/2 Putting value of AE² in (3) we get AD² = (AB² +AC² - BE² - EC²)/2 + ED² or AD² = AB²/2 + AC²/2 -BE²/2 - EC²/2 + (EC-BE)²/4 (Using equation (4) ) or AD² = AB²/2 + AC²/2 -BE²/2 - EC²/2 + (BE² + EC - 2EC.BE)/4 or AD² = AB²/2 + AC²/2 -(1/4)(2BE² + 2EC² - BE² - EC + 2EC.BE) or AD² = AB²/2 + AC²/2 -(1/4)(BE² + EC² + 2EC.BE) or AD² = AB²/2 + AC²/2 -(1/4)(BE + EC)² or AD² = AB²/2 + AC²/2 -(1/4)(BC)² or AD² = AB²/2 + AC²/2 -(BC)²/4 Hence PROVED.

14527.

In an acute angled triangle ABC, AD is the median then prove that AD² = AB²/ 2 + AC²/ 2 - BC²/ 4

Answer»

Step-by-step explanation:

Given

An ACUTE triangle ABC with AD as MEDIAN

To prove

AD² = AB²/ 2 + AC²/ 2 - BC²/ 4

Construction

Draw AE perpendicular to BC.

Proof

In triangle ABE, by Pythagoras Theorem

AB² = BE² + AE² ........(1)

In triangle ACE, by Pythagoras Theorem

AC² = CE² + AE²..........(2)

In triangle AED, by Pythagoras Theorem

AD² = AE² + ED²..........(3)

Also in triangle ABC

EC - BE

= (ED + DC) - (BD - ED)

= ED + BD - BD + ED ( SINCE AD is median BD = DC)

= 2ED

or EC - BE = 2ED ,........(4)

Adding (1) and (2) we get

AB² +AC² = BE² + EC² + 2AE²

or AE² = (AB² +AC² - BE² - EC²)/2

Putting value of AE² in (3) we get

AD² = (AB² +AC² - BE² - EC²)/2 + ED²

or AD² = AB²/2 + AC²/2 -BE²/2 - EC²/2 + (EC-BE)²/4 (Using equation (4) )

or AD² = AB²/2 + AC²/2 -BE²/2 - EC²/2 + (BE² + EC - 2EC.BE)/4

or AD² = AB²/2 + AC²/2 -(1/4)*(2BE² + 2EC² - BE² - EC + 2EC.BE)

or AD² = AB²/2 + AC²/2 -(1/4)*(BE² + EC² + 2EC.BE)

or AD² = AB²/2 + AC²/2 -(1/4)*(BE + EC)²

or AD² = AB²/2 + AC²/2 -(1/4)*(BC)²

or AD² = AB²/2 + AC²/2 -(BC)²/4

Hence PROVED.

Discussion

14528.	The total mass of 25 candy bars is 2 kilograms. What is the mass of each candy bar in grams? 75 grams 80 grams 90 grams 95 grams
Answer» Answer: 80 grams. Step-by-step explanation: 1 kg = 1000 gm So, 2 kg = 2000 gm Now, ATQ, we have 25 CANDY = 2000 gm 1 candy = 2000/25 1 candy = 80 gm So, MASS of each candy = 80 gm .

14528.

The total mass of 25 candy bars is 2 kilograms. What is the mass of each candy bar in grams? 75 grams 80 grams 90 grams 95 grams

Answer»

Answer:

80 grams.

Step-by-step explanation:

1 kg = 1000 gm

So, 2 kg = 2000 gm

Now, ATQ, we have

25 CANDY = 2000 gm

1 candy = 2000/25

1 candy = 80 gm

So, MASS of each candy = 80 gm .

Discussion

14529.	the sum of two numbers is -18 if the first number is 10 which equation represents this situation and what is the second number ?
Answer» Answer: Step-by-step EXPLANATION: The sum of 2 numbers is -18. And ONE of the numbers is 10. X + 10 = -18 So X = -18 + (-10) X = -28 Option B is CORRECT.

14529.

the sum of two numbers is -18 if the first number is 10 which equation represents this situation and what is the second number ?

Answer»

Answer:

Step-by-step EXPLANATION:

The sum of 2 numbers is -18.

And ONE of the numbers is 10.

X + 10 = -18

So X = -18 + (-10)

X = -28

Option B is CORRECT.

Discussion

14530.	11. An irrational number between √2 and √3
Answer» Your ANSWER is ATTACHED......;)

14530.

11. An irrational number between √2 and √3

Answer»

Your ANSWER is ATTACHED......;)

Discussion

14531.	HELP PLEASE!! PLEASE LOOK AT THE SCREEN SHOT( attachment)
Answer» ANSWER: 2 KM Step-by-step EXPLANATION:

14531.

HELP PLEASE!! PLEASE LOOK AT THE SCREEN SHOT( attachment)

Answer»

ANSWER:

2 KM

Step-by-step EXPLANATION:

Discussion

14532.	Help me please, ive ben getting wrong answers all this time, I really need it right now!
Answer» ANSWER: no...................

14532.

Help me please, ive ben getting wrong answers all this time, I really need it right now!

Answer»

ANSWER:

no...................

Discussion

14533.	HELP! PLEASE ANSER ASAP!
Answer» ANSWER: there your answer is 6912

14533.

HELP! PLEASE ANSER ASAP!

Answer»

ANSWER:

there your answer is 6912

Discussion

14534.	The value of√3 to first three decimal places is? show in step by step explain
Answer» The ANSWER is 1.732, we'll have to PROCEED with LONG DIVISION METHOD for this answer

Discussion

14535.	The value of√3 to first three decimal places is
Answer» Answer: 1.732 Step-by-step EXPLANATION: E

14535.

The value of√3 to first three decimal places is

Answer»

Answer:

1.732

Step-by-step EXPLANATION:

E

Discussion

14536.	HELP PLEASE I NEED THIS NOW!
Answer» ANSWER: AC is the answer for your QUESTION DEAR FRIEND

14536.

HELP PLEASE I NEED THIS NOW!

Answer»

ANSWER:

AC is the answer for your QUESTION DEAR FRIEND

Discussion

14537.	The ratio 5/3:9/4 is
Answer» Answer: 20/27 or 20:27 Step-by-step EXPLANATION: =5/3/9/4 =(5/3)*(4/9) =20/27

14537.

The ratio 5/3:9/4 is

Answer»

Answer:

20/27 or 20:27

Step-by-step EXPLANATION:

=5/3/9/4

=(5/3)*(4/9)

=20/27

Discussion

14538.	PROVE THE IDENTITIES A) sin A/1+cos A≡1-cos A/sin A B) cos A/1- tan A + sin A/1-cot A ≡sin A + cos A
Answer» Step-by-step EXPLANATION: A) LHS = $\frac{ \sin( \alpha ) }{1 + \cos( \alpha ) }$ $= \frac{ \sin( \alpha ).(1 - \cos( \alpha ) }{(1 + \cos( \alpha ) ).(1 - \cos( \alpha )) }$ $= \frac{ \sin( \alpha )(1 - \cos( \alpha )) }{1 - \cos {}^{2} ( \alpha ) }$ $= \frac{ \sin( \alpha )(1 - \cos( \alpha )) }{ \sin {}^{2} ( \alpha ) }$ $= \frac{1 - \cos( \alpha ) }{ \sin( \alpha ) }$ = RHS Hence PROVED B) LHS = $\frac{ \cos( \alpha ) }{1 - \tan( \alpha ) } + \frac{ \sin( \alpha ) }{1 - \cot( \alpha ) }$ $= \frac{ \cos( \alpha ) }{1 - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } + \frac{ \sin( \alpha ) }{1 - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } }$ $= \frac{ \cos( \alpha ) \cos( \alpha ) }{ \cos( \alpha )(1 - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } ) } + \frac{ \sin( \alpha ) \sin( \alpha ) }{ \sin( \alpha )(1 - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } ) }$ $= \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha) - \sin( \alpha ) } + \frac{ \sin {}^{2} ( \alpha ) }{ \sin( \alpha ) - \cos( \alpha ) }$ $= \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha) - \sin( \alpha ) } - \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) }$ $= \frac{ \cos {}^{2} ( \alpha ) - \sin {}^{2} ( \alpha ) }{\cos( \alpha ) - \sin( \alpha ) }$ $= \frac{( \cos( \alpha ) + \sin( \alpha )) ( \cos( \alpha ) - \sin( \alpha )) }{\cos( \alpha ) - \sin( \alpha )) }$ $= \sin( \alpha ) + \cos( \alpha )$ = RHS Hence Proved

14538.

PROVE THE IDENTITIES A) sin A/1+cos A≡1-cos A/sin A B) cos A/1- tan A + sin A/1-cot A ≡sin A + cos A

Answer»

Step-by-step EXPLANATION:

A)

LHS =

$\frac{ \sin( \alpha ) }{1 + \cos( \alpha ) }$

$= \frac{ \sin( \alpha ).(1 - \cos( \alpha ) }{(1 + \cos( \alpha ) ).(1 - \cos( \alpha )) }$

$= \frac{ \sin( \alpha )(1 - \cos( \alpha )) }{1 - \cos {}^{2} ( \alpha ) }$

$= \frac{ \sin( \alpha )(1 - \cos( \alpha )) }{ \sin {}^{2} ( \alpha ) }$

$= \frac{1 - \cos( \alpha ) }{ \sin( \alpha ) }$

= RHS

Hence PROVED

B)

LHS =

$\frac{ \cos( \alpha ) }{1 - \tan( \alpha ) } + \frac{ \sin( \alpha ) }{1 - \cot( \alpha ) }$

$= \frac{ \cos( \alpha ) }{1 - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } + \frac{ \sin( \alpha ) }{1 - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } }$

$= \frac{ \cos( \alpha ) \cos( \alpha ) }{ \cos( \alpha )(1 - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } ) } + \frac{ \sin( \alpha ) \sin( \alpha ) }{ \sin( \alpha )(1 - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } ) }$

$= \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha) - \sin( \alpha ) } + \frac{ \sin {}^{2} ( \alpha ) }{ \sin( \alpha ) - \cos( \alpha ) }$

$= \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha) - \sin( \alpha ) } - \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) }$

$= \frac{ \cos {}^{2} ( \alpha ) - \sin {}^{2} ( \alpha ) }{\cos( \alpha ) - \sin( \alpha ) }$

$= \frac{( \cos( \alpha ) + \sin( \alpha )) ( \cos( \alpha ) - \sin( \alpha )) }{\cos( \alpha ) - \sin( \alpha )) }$

$= \sin( \alpha ) + \cos( \alpha )$

= RHS

Hence Proved

Discussion

14539.	HELP HELP HELP HELP!!
Answer» Answer: The co- ordinate of B is (0, 3). Step-by-step EXPLANATION: It is given that AC = 6AB or AB + BC = 6AB or BC = 6AB - AB or BC = 5 AB or AB/ BC = 1/5 Hence B divides AC internally in the ratio 1:5 Co- ordinate of a point which divides the line joining (x₁, y₁) and (x₂, y₂) internally in the ratio m:n is given by (x,y) = ( (mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n) ) Hence, co-ordinate of B is given by $( \frac{1 \times ( - 5) + 5 \times 1}{1 + 5} \: \: \: \: \: \:\frac{1 \times ( - 7) + 5 \times 5}{1 + 5} )$ $= ( \frac{ - 5 + 5}{6} \: \: \: \frac{ - 7 + 25}{6} )$ $= (0 \: \: \: \: \frac{18}{6} )$ = (0, 3)

14539.

HELP HELP HELP HELP!!

Answer»

Answer:

The co- ordinate of B is (0, 3).

Step-by-step EXPLANATION:

It is given that

AC = 6AB

or AB + BC = 6AB

or BC = 6AB - AB

or BC = 5 AB

or AB/ BC = 1/5

Hence B divides AC internally in the ratio 1:5

Co- ordinate of a point which divides the line joining (x₁, y₁) and (x₂, y₂) internally in the ratio m:n is given by

(x,y) = ( (mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n) )

Hence, co-ordinate of B is given by

$( \frac{1 \times ( - 5) + 5 \times 1}{1 + 5} \: \: \: \: \: \:\frac{1 \times ( - 7) + 5 \times 5}{1 + 5} )$

$= ( \frac{ - 5 + 5}{6} \: \: \: \frac{ - 7 + 25}{6} )$

$= (0 \: \: \: \: \frac{18}{6} )$

= (0, 3)

Discussion

14540.	Whats is 7^8 . I want to understand the basics of power maths
Answer» Answer: 5764801 Step-by-step EXPLANATION: It BASICALLY is 7 X 7 x 7 x 7 x 7 x 7 x 7 x 7

14540.

Whats is 7^8 . I want to understand the basics of power maths

Answer»

Answer:

5764801

Step-by-step EXPLANATION:

It BASICALLY is 7 X 7 x 7 x 7 x 7 x 7 x 7 x 7

Discussion

14541.	Badi & choti copy ka ankit rs. 10rs. &15rs. Hai. Ek chatra 5 darjan choti copy & 10 darjan bdi copy 5℅ ki kul rashi per kharidta hai.choot ki rashi gyat kare.
Answer» Step-by-step explanation: 10 VALI IO 9.50 KI 8 vali 8.40 ki

14541.

Badi & choti copy ka ankit rs. 10rs. &15rs. Hai. Ek chatra 5 darjan choti copy & 10 darjan bdi copy 5℅ ki kul rashi per kharidta hai.choot ki rashi gyat kare.

Answer»

Step-by-step explanation:

10 VALI IO 9.50 KI 8 vali 8.40 ki

Discussion

14542.	PLEASE READ THE QUESTION AND HELP ME!!
Answer» ANSWER: ARROW c Step-by-step EXPLANATION: HOPE it HELPS you

14542.

PLEASE READ THE QUESTION AND HELP ME!!

Answer»

ANSWER:

ARROW c

Step-by-step EXPLANATION:

HOPE it HELPS you

Discussion

14543.	PLEASE HELP I NEED IT NOW!!
Answer» ANSWER: SORRY QUESTION is not CLEAR ,FRIEND

14543.

PLEASE HELP I NEED IT NOW!!

Answer»

ANSWER:

SORRY QUESTION is not CLEAR ,FRIEND

Discussion

14544.	If anyone can help thanks!
Answer» ANSWER: SORY DUDE...........

14544.

If anyone can help thanks!

Answer»

ANSWER:

SORY DUDE...........

Discussion

14545.	Solve the following equations using an algebraic method. 4x+3y=7 3x-2y=18
Answer» ANSWER: (4, - 3) Step-by-step EXPLANATION: Check the answer, 4(4) + 3(- 3) = 7 16 - 9 = 7 7 = 7 3(4) - 2(- 3) = 18 12 + 6 = 18 18 = 18

14545.

Solve the following equations using an algebraic method. 4x+3y=7 3x-2y=18

Answer»

ANSWER:

(4, - 3)

Step-by-step EXPLANATION:

Check the answer,

4(4) + 3(- 3) = 7

16 - 9 = 7

7 = 7

3(4) - 2(- 3) = 18

12 + 6 = 18

18 = 18

Discussion

14546.	Solve the question 8 part 1 and two which I have marked with blue pencil.
Answer» Step-by-step explanation: 1 ANSWER is {1,3,5,7,9} 2 answer is {1,3,5,7,9} HOPE it HELP if it is not help SORRY for my answer

14546.

Solve the question 8 part 1 and two which I have marked with blue pencil.

Answer»

Step-by-step explanation:

1 ANSWER is {1,3,5,7,9}

2 answer is {1,3,5,7,9}

HOPE it HELP

if it is not help SORRY for my answer

Discussion

14547.	Class 10 lesson 3 ka question n 1 and 2 ka ans dijiye ( no चीटिंग ) fast
Answer» ANSWER: where is QUESTION???????????

14547.

Class 10 lesson 3 ka question n 1 and 2 ka ans dijiye ( no चीटिंग ) fast

Answer»

ANSWER:

where is QUESTION???????????

Discussion

14548.	A store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. What is the total weight in kilograms? 16.70 kilograms 1.670 kilograms 167 kilograms 1,670 kilograms
Answer» Answer: Step-by-step explanation: A BOX of cereal - 850 gm A box of granola bars - 385 gm A box of crackers - 435 gm Total WEIGHT of all items = 850 + 385 + 435 = 1670 gm 1 kg = 1000 gm So total weight of items = 1670 ÷ 1000 = 1.670 kg

14548.

A store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. What is the total weight in kilograms? 16.70 kilograms 1.670 kilograms 167 kilograms 1,670 kilograms

Answer»

Answer:

Step-by-step explanation:

A BOX of cereal - 850 gm

A box of granola bars - 385 gm

A box of crackers - 435 gm

Total WEIGHT of all items = 850 + 385 + 435 = 1670 gm

1 kg = 1000 gm

So total weight of items = 1670 ÷ 1000

= 1.670 kg

Discussion

14549.	6^x+\frac{1}{6^x}=6\frac{1}{6} this is urgent
Answer» ANSWER: Step-by-step EXPLANATION: LOL

14549.

6^x+\frac{1}{6^x}=6\frac{1}{6} this is urgent

Answer»

ANSWER:

Step-by-step EXPLANATION:

LOL

Discussion

14550.	4x² - x + 3(x? 1) (x - 1)dx
Answer» 4x^2-x+3 D=(-1)^2-443 =1-48 =-47 NON REAL FACTORS possible

Discussion

Explore topic-wise InterviewSolutions in .

4/x+3y=8,6/x/4y=-5.​

If (a sin(x+a)=b sin(x-a)) then how can i prove that ((a+b)tan x+(a-b)sin a)=0

The value oThecommonnees 12,21,25..16, 21, 26,findnumber of the Termseran-488 is 4% ThenKntic equal to what? to Find 2,​

Example 1 Discuss the continuity of the function f give(-2,4)x, if x 20f(x) =x?, if x < 0SolutionClearly the function is defined at​

Of the sequation 48 m 12x²+ m²=0(m) o) has town read sais, whichare in AP. Then find the value of me​

Solve the equation x /2 +2y /3=-1 & x-y/3 =3 by substitution method.​

Insert tive rational number between 6.0 and 6.1​

Design and compute Rc Lag Compensator for an overdamped system having a gain as 19,steady state error60dB and phase margin >80?​

PLEASE PLEASE SOLVE THIS FAST (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)

1. Express each of the following numbers as a product of its prime factors.(i) 140(ii) 156 (ii) 3825 (iv) 5005 (v) 7429in LCM method​

Why is the use of sustainability important that you may have observed around you?​

4×4+4++4+4+4+4+4+4+4+4++44++4+4+4+4​

Find the mode of the following distribution 3Classes :20-40 40-60 60 - 8060 - 80 80-10081012164Frequency:16​

PLEASE PLEASE SOLVE THIS FAST AND SHOW ALL WORKING OUTS (ONLY SOLVE IT IF YOU KNOW HOW TO DO IT)

X^3+2x^2-x-2 using factor method factorise each of the following polynomial​

_______________________

Question:-

x^3+2x^2-x-2 using factor method FACTORISE each of the following polynomial

______________________

Solution:-

(x-1)(x+1)(x-2)

EXPLANATION:-

x^3-2x^2-x+2

=x^3-x-2x^2+2

Grouping the 1^(st 2 terms together and the 2^(nd 2 together)

=x(x^2-1)-2(x^2-1)

=(x^2-1)(x-2)

Using the identity: a^2-b^2=(a+b)(a-b)

=(x^2-1^2)(x-2)

=(x-1)(x+1)(x-2)

. For factorizing other CUBIC polynomials, the following method can be used:

First, by trial and error method, you can find one factor as follows:

x^3-2x^2-x+2

When REPLACING 1,

=1^3-2xx1^2-1+2.

=>cancel1-cancel2-cancel1+cancelled

=>0

So, we GET (x-1) as factor.

Then by long division, divide (x-1) by (x^3-2x^2-x+2)

You get=>(x-1)(x^2-x-2)

Then you have to factorize it by splitting the middle term method.

=>(x-1)[x^2+x-2x-2]

=>(x-1)[x(x+1)-2(x+1)]

=>(x-1)(x+1)(x-2)

~Hope this helps! :)

if c,d are the rootsof (x-a) (x-b) -k=0,then the roots of (x-c) (x-d+k=0are A: b, c. B:a,b. C,:a, c. D:a,d​

Gabriella filled her fishbowl with 4 cups of water. How many fluid ounces did she put in the fishbowl? 32 ounces 36 ounces 48 ounces 54 ounces

9. A pair of die is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.Hint: Favourable cases are (5,5) and (5, 6)]​

this is your answer ✔️✔️

Tom run three times around a square field he covered a distance of 12 km what is the area of the field

A hunter is standing 350 feet away and fired a bullet straight up at a bird on a tree at a rate of 15 ft/sec. At what rate is the distance between the hunter and the bullet increasing i) 20 seconds after liftoff? ii) 1 minute after liftoff?

the two zeroes of a quaratic polynomial -4and -6find the sum and products of the zero. what is the values of coefficients b​

& A spinner is made from a regular octagon. It is labelled with three As,two Bs and three Cs. Each of the sides is equally likely to be resting onthe table when it stops spinning. Calculate(a) P(A resting on the table)(b) P(B resting on the table)(c) P(not Cresting on the table)​

Match each sampling method with an example using that approach ​

21.0+Sin ocosecsin o​

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

the ANSWER is ACCORDING to QUESTION

In an acute angled triangle ABC, AD is the median then prove that AD² = AB²/ 2 + AC²/ 2 - BC²/ 4

Step-by-step explanation:

Given

To prove

Construction

Proof

The total mass of 25 candy bars is 2 kilograms. What is the mass of each candy bar in grams? 75 grams 80 grams 90 grams 95 grams

80 grams.

the sum of two numbers is -18 if the first number is 10 which equation represents this situation and what is the second number ?

11. An irrational number between √2 and √3​

Your ANSWER is ATTACHED......;)

HELP PLEASE!! PLEASE LOOK AT THE SCREEN SHOT( attachment)

Help me please, ive ben getting wrong answers all this time, I really need it right now!

HELP! PLEASE ANSER ASAP!

The value of√3 to first three decimal places is? show in step by step explain​

The value of√3 to first three decimal places is​

HELP PLEASE I NEED THIS NOW!

The ratio 5/3:9/4 is​

PROVE THE IDENTITIES A) sin A/1+cos A≡1-cos A/sin A B) cos A/1- tan A + sin A/1-cot A ≡sin A + cos A

HELP HELP HELP HELP!!

Whats is 7^8 . I want to understand the basics of power maths

Badi & choti copy ka ankit rs. 10rs. &15rs. Hai. Ek chatra 5 darjan choti copy & 10 darjan bdi copy 5℅ ki kul rashi per kharidta hai.choot ki rashi gyat kare.

4/x+3y=8,6/x/4y=-5.

The value oThecommonnees 12,21,25..16, 21, 26,findnumber of the Termseran-488 is 4% ThenKntic equal to what? to Find 2,

Example 1 Discuss the continuity of the function f give(-2,4)x, if x 20f(x) =x?, if x < 0SolutionClearly the function is defined at

Of the sequation 48 m 12x²+ m²=0(m) o) has town read sais, whichare in AP. Then find the value of me

Solve the equation x /2 +2y /3=-1 & x-y/3 =3 by substitution method.

Insert tive rational number between 6.0 and 6.1

Design and compute Rc Lag Compensator for an overdamped system having a gain as 19,steady state error60dB and phase margin >80?

1. Express each of the following numbers as a product of its prime factors.(i) 140(ii) 156 (ii) 3825 (iv) 5005 (v) 7429in LCM method

Why is the use of sustainability important that you may have observed around you?

4×4+4++4+4+4+4+4+4+4+4++44++4+4+4+4

Find the mode of the following distribution 3Classes :20-40 40-60 60 - 8060 - 80 80-10081012164Frequency:16

X^3+2x^2-x-2 using factor method factorise each of the following polynomial

if c,d are the rootsof (x-a) (x-b) -k=0,then the roots of (x-c) (x-d+k=0are A: b, c. B:a,b. C,:a, c. D:a,d

9. A pair of die is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.Hint: Favourable cases are (5,5) and (5, 6)]

the two zeroes of a quaratic polynomial -4and -6find the sum and products of the zero. what is the values of coefficients b

& A spinner is made from a regular octagon. It is labelled with three As,two Bs and three Cs. Each of the sides is equally likely to be resting onthe table when it stops spinning. Calculate(a) P(A resting on the table)(b) P(B resting on the table)(c) P(not Cresting on the table)

Match each sampling method with an example using that approach

21.0+Sin ocosecsin o

11. An irrational number between √2 and √3

The value of√3 to first three decimal places is? show in step by step explain

The value of√3 to first three decimal places is

The ratio 5/3:9/4 is

Class 10 lesson 3 ka question n 1 and 2 ka ans dijiye ( no चीटिंग ) fast

4x² - x + 3(x? 1) (x - 1)dx