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74901.

2) 4112mphTihe age of Reena and Tina are in the ratio 3:4. Five years ago their ages were intheir presemt agesthe natin 23.Fmt

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74902.

If atthen provedatte2: Abted-abt i de 5782

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a/b=c/d=k(say); a+bk| c+dk; L.h.s a^2+c^2=ab+CD a^2+b^2/ab+ CD ( bk)^2+(ak)^2/b^2k+d^2k = k^2( a^2+ b^2)/k( a^2+ b^2)=k^2/ k=k, l h s closed. Rhs . ab×cd=b^2+d^2= k(b^2+d^2)/( b^2+ d^2)=K

74903.

Ifathen provedatte?Abted- abt edo bd2.

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a/b = c/d =k let a= bc; c=dk; LHS a^2 + c^2/ ab+cs= b^2k+a^2k^2/bk-b+dkd=k^2( b^2+a^2/k( b^2+d^2)=k; RHS=ab+cd/ b^2+d^2 = bkb++aka/ b^2+d^2= k( b^2+d^2)/ b^2+d^2= LHS= RHS

74904.

Chapter1. Prove that : If two lines intersect each other, then the verticopposite angles are equal.intersects two parallel lines, t

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74905.

\tan ^{-1}(1)+\tan ^{-1}(2)+\tan ^{-1}(3)=\pi

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Use the following formula:

tan-1(x) + tan-1(y) = tan-1[(x+y)/(1-xy)]

so

tan-1(1) + tan-1(2) + tan-1(3)

= tan-1(1) + tan-1[(2+3)/1-(2*3)]

=tan-1(1) + tan-1(-1)

apply same formula again,

you will get

tan-1(0) = π

hope it helped you

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74906.

\begin{array} { l } { \text { Prove that } } \\ { \tan ^ { - 1 } \left( \frac { 1 } { 3 } \right) + \tan ^ { - 1 } \left( \frac { 1 } { 5 } \right) + \tan ^ { - 1 } \left( \frac { 1 } { 7 } \right) + \tan ^ { - 1 } \left( \frac { 1 } { 8 } \right) } \end{array}

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74907.

\operatorname { tan } ^ { - 1 } ( x + 1 ) + \operatorname { tan } ^ { - 1 } ( x - 1 ) = \operatorname { tan } ^ { - 1 } 8 / 31

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74908.

DIRECTIONOFCURRENTDIRECTIONOFCURRENTMAGNETIC LINERIGHT HAND GRIP RULE SHOWIING THE DIRECTION OF CURRENT ANDDIRECTION OF MAGNETIC LINESsume a right handed corkscrew to be along the wireto advance in the direction of the current. The motioe handle gives the direction of magnetic lines of forcund the conductor (Fig 5)

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The right-hand grip rule is used to determine the relationship between the current and the magnetic field based upon the rotational direction. ... For this, the wire needs to be held in the right hand and the thumb should point towards the direction of the flow of current then curl your fingers around the wire.

74909.

5. 2,79846 students from various schools registered themselves for a drawing comOnly 1,50,375 students participated in the competition. How many studentsparticipate?

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74910.

Prove that:tan-(1+site)-(4-2)COs x

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thnxx

74911.

themissinglengthand reduce.2616242

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26/x= 24/16by cross multiplicationx= 26×16/24=52/3

thank you so much

74912.

5 x ^ 3 - 13 x ^ 2 %2B 21 x - 14 \text by 3 - 2 x %2B x ^ 2

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Given f(x) = 5x^3 - 13x^2 + 21x - 14.

Given g(x) = 3 - 2x + x^2.

We need to divide f(x) by g(x).

5x - 3 ---------------------------------= > x^2 - 2x + 3) 5x^3 - 13x^2 + 21x - 14

5x^3 - 10x^2 + 15x ---------------------------------

-3x^2 + 6x - 14

- 3x^2 + 6x - 9 -------------------------------- -5.

Here,

Dividend = 5x^3 - 13x^2 + 21x - 14

Divisor = 3 - 2x + x^2

Quotient = 5x - 3

Remainder = -5

Division Algorithm:

Dividend = Divisor * Quotient + Remainder

= (3 - 2x + x^2) * (5x - 3) + (-5)

= 15x - 9 - 10x^2 + 6x + 5x^3 - 3x^2 - 5

= 5x^3 - 13x^2 + 21x - 14.

LHS = RHS

Like my answer if you find it useful!

74913.

-14*b*y(x^2 - 2*x %2B 3) %2B 21*x %2B 5*x^3 - 13*x^2

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s

74914.

Find the missing number24, 36, 72, 180, 540,1890, .......................

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24×1.5=3636×2=7272×2.5=180180×3=540540×3.5=18901890×4=7560so missing number is 7560

write the following natural number in standard form -36 by 72

74915.

Find the missing number in the following:15, 12, 17,10, ,8, 252119

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19 is the answer to that questionas there js a seriesof +2,-2as15+2= 1712-2= 10so 17+2= 1910-2= 8

74916.

22. Which is the missing number inthe following series?16, 54, 128,432

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2 * 2^3 = 2 * 8 = 16,2 * 3^3 = 2 * 27 = 54,2 * 4^3 = 2 * 64 = 128,2 * 5^3 = 2 * 125 = 250,2 * 6^3 = 2 * 216 = 432.

thanks bro

74917.

36. Select the missing number from the giveresponses.2472 ? 90 -6 -2

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missing number is 4

74918.

9.Guess the missing Number4991616?71220a. 3b. 50c. 25

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It will be 25it's a series like first 2 is being added then 3 is being added the same thing will be preceded again4+2= 66+3=9then9+3= 1212+4= 16then16+4= 2020+5= 25

74919.

3. Find the Missing Number: 72,?, 18, 9a) 40b) 42c) 32d) 36

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74920.

Add the three numbers on each of these liWhat do you notice?5 13 21 -6 + 1320-19 + 137-12 13 + 14 -

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74921.

25. Find the missing number.3?6561811) 272) 183) 244) 9

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the missing number is the nine

9it is answer of this question

the missing number is nine

the missing number is 9

(81)¼ = 3Therefor, ( 6561)¼ = 9Hence,your answer will be options (4)

74922.

Ratio of two adjacent sides of a paralelogram is 3:4, and its perimeter is 112 aFind the length of its each side.

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Let the length be 3xlet the breadth be 4x

perimeter=2(l+b)112=2(3x+4x)56=7xx=56/7x=8l=3×8l=24cm

b=4×8cmb=32cm

74923.

The perimeter of a parallelogram is 160 m. Thedistance between the pair of opposite sides is 8m and its area is 240 sq m. Find the length of thetwo adjacent sides of the parallelogram.

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74924.

a a x89.If |mm| = 0 then x=1) a2) b3) a or bリ0rn(E1 x 2x3x90.Ifx0and|15x| = 0 then x= 1)-11 3)3 4)-301+x 2 3If |3-0then x =1)12)-13)-64) 62+x11 2 3+x91.SAIMEDHA TIRUPATHI-VIJAYAWADA HYDERABAD

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74925.

O |W | ek

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(4-3)/9=1/9 is the answer

74926.

36205×81640180E 3.1the blanks4501 0 =234 × 2045×19 × 5 = 56 × 19 ×435 ×2134 x115-115345 x (231 +117) 345the product6= 435

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1) 02) 46803) 454)15)2134

Tq

74927.

1x1 = -x ifx<0.Fite four rational numbers equivalent to each of the following ration(iii)

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74928.

Give four rational numbers equivalent to:24

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thanks for this

74929.

8. Insert the missing number. 10, 5, 13, 10, 16, 20, 19,..(a)22 (b) 40 (c) 38 (d) 23

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(b) 40

Explanation:This is a mixed series. 10, 13, 16, 19, ......5, 10, 20, (....)

5 * 2 = 10 10 * 2 = 2020 * 2 = 40

74930.

(A)A trader marks a television 20% above the cost price and allows a discountof 10%. If the profit earned isthe television?31.4%(B)35.17024.544, then what is the cost price of(A)7000(B)き6800(C)き8000(D)7200

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74931.

13 14 1516 17 18 19 202345432

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total= 1+2+3+4+5+4+3+2 = 24sum = 13x1 + 14x2 + .... + 20x2 = 364mean = sum/total = 364/24 = 15.166

74932.

The cost price of 12 candles is equal to the sellingprice of 15 candles. Find the loss per cent?

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74933.

6.(vii) (-86) *(-29)+8The temperature of a room is to be lowered from 50째C at the rate of 6째C every hour. Whabe the room temperature after 4 hours.C quotions 5 marks are awarded for every correct answer andevery hour. What willFrom thequotierswer and (-1)Com

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74934.

The lengths of two adjacent sides of aparallelogram are respectively 40 cm and50 cm. One of its diagonals is 20 cm. Findthe area of the parallelogram.

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74935.

Give first four equivalent rational numbers to the following.

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(l) 3/27(ll) 2/18(lll)5/45(iv)6/54

3/27,2/18,5/45,6/54 is the right answer

2/183/274/365/45is the correct answer

74936.

Find the value of 'x' for which two rational numbers-and-are equivalent.42

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74937.

Find x such thatandare equivalent rational numbers.-24

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74938.

5 20 .....19. Which of the following are pairs of equivalent rational numbers?(1) 4-167 -21-8' 16-13 39-6-36(ii)3(iii) 9

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Multiplying both numerator and denominator by - 4 option no 3 is the correct answer

74939.

7. A trader marks his goods 20% above the costprice. He sells them at a discount of 20%. If the costprice is 1100, what is his gain or loss percent?

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74940.

9. A trader marks his goods 40% above the cost price and gives a discount of 20% on the markedFind his gain percent.

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Let the C.P. be 100x.therefore, M.P. = 140xtherefore, S.P.= (100 - 20) x 140x = 112xtherefore, Profit= 12xtherefore profit%= (12x/100x)x 100 = 12%

74941.

The expenses on wheat, meat andvegetables of a family are in the ratio12: 17 3. The prices of these articlesare increased by 20%, 30% and 50%,respectively. The total expenses of thefamily on these articles are increased by(a) 22-96(b) 28-963(c) 27-96(d) 252%8

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Let their expenses on wheat, meat and vegetables are 12x, 17x and 3x respectively.Total expenses = 12x + 17x + 3x = 32xNow increased price,Wheat = 12x + 20% of 12x = 14.4x.Meat = 17x + 30% of 17x = 22.1xVegetables = 3x + 50% of 3x = 4.5xTotal expenses = 14.4x + 22.1x + 4.5x = 41x.Increased = 41x - 32x = 9xPercentage increased = (9x * 100)/32x = 28(1/8)%.

Let their expenses on wheat, meat and vegetables are 12x, 17x and 3x respectively.Total expenses = 12x + 17x + 3x = 32xNow increased price,Wheat = 12x + 20% of 12x = 14.4x.Meat = 17x + 30% of 17x = 22.1xVegetables = 3x + 50% of 3x = 4.5xTotal expenses = 14.4x + 22.1x + 4.5x = 41x.Increased = 41x - 32x = 9xPercentage increased = (9x * 100)/32x = 28(1/8)%.

74942.

38. A watch loses 5 seconds everyhour. If it is set right on Tuesdayat 12:10 a.m, what time will itshow at 12:10 a.m the followingTuesday?A. 12:24 p.m TuesdayB. 11:56 p.m MondayC. 11:56 a.m MondayD. 12:24 a.m Tuesday

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Watch loses 5 sec every hourTime set on Tuesday at 12: 10 am

Then,Number of hours till next Tuesday 12:10 am = 24*7 = 168

Total loss in time= 168*5 = 840 sec= 840/60 = 14 min

Therefore time in clock will be 11:56 pm Monday

(b) is correct option

74943.

MARCH. FRIDAY08

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bdbdhshshshshdbdbxbxbxnxndbx

74944.

-Differentiate xx – 2sin x

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74945.

45 EWrite any two equivalent rational numbers to each of the followinfraction form:ii)5In the given figure, AB' and 'CD' are intersected by a transversalIs AB//CD ? Explain.100B800

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74946.

mesesDorpIs t xx

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Hey mate here is your answer, x+4/7=1x+4=1×7x+4=7x=7-4x=3

x into 4/7=14x/7=14x=7x=7/4

X(4/7)=14X/7=14X=7X=7/4.....

Q X * 4/7=1solution : => X * 4 = 1 *7 => 4x = 7=> X = 7/4

It will be4x / 7 = 14x = 1 X 74x = 7x = 7/4

The right answer of this question is 7/4

74947.

10. A ready-made garments shop in Delhialloue20 percent discount on its garments and sallowsmakes a profit of 20 percent. Find the markedprice of a dress which is bought by theshopkeeper for 400.

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74948.

month:FamilyFamily AFamily BFamily CFamily DWater Consumed (in litres)2150266019802090OUR ISStable and answer the following questions in your Maths notebook) What is the total water consumption by the four families (in kilo) What is the difference between the maximum and minimum watkilolitres)?) Suggest some ways which can be employed to reduce the consuwater

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8.88 k l and a.68 kl

the correct answer is 8.88 k l & a .68 kl

74949.

4. Vineeta completed of her homework on Saturday. How much homework is left to becompleted on Sunday?

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the answer of the question is 1/6

1-5/6=6-5/61/6home work left is 1/6

5/6 is completed6/6 is total6/6 - 5/6 = 1/61/6 homework is left for sunday

Total home work=1completed work by Vineeta on saturday=5/6therefore homework left on sunday=1-5/6=(6-5)/6=1/6

let total work=1work done= 5/6work left= 1-5/6 = 6-5/6 = 1/6 th of work done on Sunday

1/6 is correct answer.

this is product type. so. 1×2×2= 4

1/6 is the correct answer of the given question

1/6 is the best answer🎯

if the total work is 1veenita completed homework =5/6so she left the homework on Saturday= 1 - 5/6=1×6/1×6 - 5/6= 6-5/6=1/6

1/6 is the best answer

74950.

1. A clock loses 4 minutes in every hour. It was set right today05:00am. Now the time is 10:00 am. What will the clock face looklike?

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In 1 hour, clock loses 4 minutesin 5 hours it will lose 5*4=20 minutes

So, the time at 10am will be 9:40am