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64101.

Express the numbers appearing in the following statements in standard form(1) I micron is equal to m1000000

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64102.

A traffic sign board has 'forward school' written on it and it is the size of an equilateral triangle having 'a'. Using the formula of Heron, find the area of ​​this board, if the perimeter of the board is 180cm, what will be the area of ​​this sign board?

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Let the side is a cm

s=a+a+a/2(a+a+a=180 because perimeter is 180; 3a=180; a=60)s=180/2=90

Area =√(s(s-a)(s-a)(s-a))√(90(90-60)(90-60)(90-60))√(90*30*30*30√30*30*30*30*30=30*30√30=900√30 cm

64103.

Find the difference between the greatest and the least number that can be written using tdigits 6, 2, 7, 4, 3 each only once

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the greatest no that can be formed is 76432 and the least no.is 23467 so by subtracting we get the difference 52965

64104.

12. Given log 31-87 -(1) log (31-87).(m) logio V31870write down in terms of(ii) log100-03187.(ICSE

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64105.

87/28

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3.107142857142857 is the answer of the following

3.1071429581..,.,.........

3.107142857142857 is the right answer.

3.107 the correct answer of the given question

87 ÷ 28 = 3.1071428571 is the answer of the following question.

3.1071 is the right answer

it is easy yrr try to understand the topic of questions with concept

64106.

87+75

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87+75=162 (basic addition)

64107.

see, often we lieed to 0llIatic or not.EXEheck whether the following are qua0 (r+1) 2(x-3)iii) (x-2)(x +1)=(x-1)(x + 3)v) (2x-I(x-3)-(x+5)(x-1)ii)/(x42)' = 2x (x2-1)ĂŠpresent the following situationsi0) The area of a rectangular plot imore than twice its breadth. W

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64108.

3) E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases,state whether EFIIQR. PQ = 1.28 cm, PR = 2.56 cm, PE 0.18 cm and PF = 0.63 cm

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64109.

PR 20, NR 8. State whether lineNM is parallel to side RQ. Givereason.Fig. 1.36

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64110.

o Find its equation in new-position.3. One diameter of the circle circumscribing the rectangleABCD is 4y x+7. If the1coordinates of A andcircleB are (-3,4) and (5,4) respectively, find the equation of the

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64111.

NES AND ANGLES4, lines XY and MN intersect at 0.1f97ΖΡΟΥ90° and a : b and, MN inFig. 6.14

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thanks

64112.

The line 2x-y=5 turns about the point where ordinate is equal to abscissa through 45 degree in anti-clockwise direction. Find the eqn of line in new position.

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64113.

ble to see your name and email address.. Prime numbers do not have any factors.(Correct the statement, if it is incorrect))1 Point)

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prime number have many factors

prime numbers have more factors

prime numbers have so many factors

prime number is diveded 2 numbers. eg. 2;4

For every prime no. there is only two factors 1 and the no. itself

prime factor have so many factor

Every prime number has two factors. they are 1 and itself.

64114.

The plane 4x + 7y + 4z + 81 = 0 is rotatthrough a right angle about its lineintersection with the plane 5x +3y +114.25-0. Find the equation of the plain new position.

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64115.

o weeks together? In which week was the sale greater and by how much?Find the difference between the greatest and the least 5-digit number thatwritten using the digits 6,2, 7,4, 3 each only once.

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64116.

. गम न बा...L 7.4, 62 ook

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64117.

OOKA for ApleB for BollC foe kat

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A for Apple

B for Ball

C for Cat

A for apple🍎B for ball 🏀⚽c for cat 🐱😺

A for apple B for ballC for cat

64118.

54NODefine rationalook No. : SS-21691178935 011904 87||

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In mathematics, arational numberis anynumberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is arational number. ... Moreover, any repeating or terminating decimal represents arational number.

64119.

The line joining the points A (1, 1) and B (4, 4) is rotated about A in the anti-clockwisedirection through an angle of 15°, find the equation of the line in the new position. If B goes to C. findthe coordinates of C.

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Slope of line AB4-1/4-13/3tan theta= 145°let after rotation the point B reaches to the point C.such that∠CAB=15thus the slope of the line CA betan(45+15)=tan60=√3the coordinates of the point A are (1,1))therefore the equation of the line CA isy-y₁= m(x-x₁)y-1= √3(x-1)

64120.

IVAINS ASSIGN 1. TRANSIf a line joining two points A (2.0) andB (3. 1) is rotated about A in anticlockwisedirection through an angle 15°, then equationof the line in the new position is(1) V3x + y = 2/3 (2) 3x - y = 233(3) x+3y=2/3 (4) x-3y=215

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equation of the line in the new position is (1) √3x +y=2√3

64121.

Check whether the ratios 4:12 and 9:27 are in proportion. If yes, write them in the proper form.

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4:12 = 9:27by cross multiplication27×4=12×9108=108so yes they are in proportion.

64122.

Find the area of a triangle with two sides of which are 18 cm, and 10 cm and the perimeter is 42 cm.OR

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Given,Perimeter of triangle P = 42 cm

Let third side of triangle be x

Then,x + 18 + 10 = 42x = 42 - 28 = 14

Using HERON'S Formulas = P/2 = 42/2 = 21 cm

Area of triangle A= sqrt(s(s - 18)(s - 10)(s - 14))= sqrt(21(21-18)(21-10)(21-14))= sqrt(21*3*11*7)= 21sqrt(11) cm^2

64123.

9.5Which of the following statement is incorrect ?(a) sine--(b) cose-1(c) sec θ(d) tane 20-21-0 is

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option C , because sec∅ belongs to (-∞,-1] U [1,∞)

64124.

U 10.0 cm, 12.5 cm(c) 25 cm, 42 m.One diagonal of a rhombus is 18 cm and its area is 252 cm. Find the other diagonal.

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64125.

awa tyangle with vertices (1, 5), (5, 8) and (13, 14)? Give reason.kSFind a relation between xandy such that the point (x,y) İs equidistant from the points(-2, 8) and (-3,-5)

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64126.

9. Name the type of quadrilateral formed, ifany, by the following points, and give reasons foryour answerA B C D:-2. (fo), (-1c2), (-3,0)(ii) (-3,5), ( 1,10), (3c.㈠o,Thesand y 5.(i)(งาFuomn-and (-2,9).You c

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thank u

64127.

\frac{9}{14}=\frac{4.5}{\dots}=\frac{\ldots .}{42}=\frac{\dots .}{3.5}

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9/14 = 4.5/7 = 27/42 = 2.25/3.5

64128.

application

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Ans :- A formal request to be considered for a position or to be allowed to do or have something, submitted to an authority, institution, or organization.

64129.

Application ODLE D

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Some of the important applications ofLED are given below:

It is used in optical switching application.

It is used in burglar alarm system.

It is used for indicating power ON/OFF conditions, power level indicators or stereo amplifiers.

It is used in image sensing circuits in videophones.

It is used in optical communication system.

It is used for checking the linearity, speed etc. of opto-electronic detection circuits.

It is used in motorcycle and bicycle lights.

It is used in traffic lights and signals.

64130.

19 ^ { 2 } - 18 ^ { 2 } = \dots

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use a² - b² = (a-b) (a+b)19² - 18² = (19-18)(19+18) = 1 × 37 = 37

64131.

What is the value of 16^2 + 17^2 + 18^2 + ................. 25^2

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thank you

64132.

Solve the following equations and check youranswers1) 5x-2 =182) y/4 + 1/2 = 5

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1.5x - 2 = 185x = 18 + 25x = 20x = 20/5x = 4Verification5×4 - 2 = 20- 2 = 18

2. y/4 + 1/2 = 5y/4 = 5 -1/2y/4 = 9/2y = (4×9)/2y = 18

verification18/4 + 1/29/2 + 1/210/25

64133.

18*(2/7)

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18×2(1/7)=18×(14+1)/7=18×(15/7)=270/7

270/7 is the answer

64134.

18 - 2 + 5 =

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18-2+5 = 18+3 = 21 is the answer

64135.

how do explains topological space

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Space which has an associated family of subsets that constitute a topology. The relationships between members of the space are mathematically analogous to those between points in ordinary two- and three-dimensional space.

64136.

= ‘\Lg;:?_ ,,‘_gfifi&&tz कि

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64137.

Divide 4613 \mathrm{lg} 23

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64138.

उस द्विघात बहुपद को ज्ञात करें जिसके शून्यक बहुपद४-४-1 के शून्यकों के वर्ग हैं।(a) x +3+1 | (b) 2 -3x-1(c) 1 -3x+1 (d) 1 - 3x+3

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64139.

3. 5x + 9 = 5 + 3x6. 8x + 4 = 3 (x-1) + 71. 3x = 2x +182.51 - 3 = 3-5

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64140.

Sarita has ₹86.50 in her piggy bank Her father gave her 48 more. How much money does she have in the piggy bank now?

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Total money she have = ₹86.50+₹48 = ₹134.5

64141.

Answer the following.60 in her piggy bank and spent theseema's father gave her 300, out of which she saved ?rest on books. Express her savings as a percentage.a)

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money seema got = 300money she saved ₹ 60% she saved = (60/300) ×100 = 20%so she saved 20%

64142.

Shipra had 3b coins in her piggy bank. It contained some ? 1 coins, some ? 2 coins, and Soeoins. The total amount was R 88. How many of each coins did she have?

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Shipra has 3 rupees which means 300 paise(1 rupee=100 paise)She has some 25 paise, some 10 paise and some 5 paise.i.e 25a+10b+5c=300----------(1)All together she has 36 coins in total.i.e a+b+c=36-----------(2)'a' denotes the number of 25 paise coins'b' denotes the number of 10 paise coins'c' denotes the number of 5 paise coinsSolving equations (1) and (2) we get4a+b=24 (if we cancel 'c')4a+b=24---------(3)b=24-4a----------(4)Now substitute values of 'a'If a=1 then b=20 and c=15If a=2 then b=16 and c=18If a=3 then b=12 and c=21If a=4 then b=8 and c=24If a=5 then b=4 and c=27Solution 1There will be one 25 paise coin, twenty 25 paise coins and fifteen 5 paise coins in her piggy bank.Solution 2There will be two 25 paise coins, sixteen 10 paise coins and eighteen 5 paise coins in her piggy bank.Solution 3There will be three 25 paise coins, twelve 10 paise coins and twenty one 5 paise coins in her piggy bank.Solution 4There will be four 25 paise coins, eight 10 paise coins and twenty four 5 paise coins in her piggy bank.Solution 5There will be five 25 paise coins, four 10 paise coins and twenty seven 5 paise coins in her piggy bank.

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64143.

เฅซ0) (1+ I_:-cm 9~ cosecO)(1 + tanยง+sec6) = 288

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64144.

UU, UUUUUL Uy viral TUULI LG Popur iC. A refinery produces 72,38,40,755 L of petrol in a year. How many kilolitres of petrol will be produced in15 years?

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10,857,611,325 is the answer

10,857,611,325 is rhe answer

Your correct answer is10857611325 l

64145.

Example 9: Solve the equation4x-1 33x +2 2

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64146.

Example 1. Solve the following equations:3x + 2 y = 9x + 3y = 10

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Multiplying equation 2 by 33x+2y=93x+9y=30hence subtraction the equations-7y=-21y,=3put in equation 13x+6=93x=3x=1

64147.

EXAMPLE 5Prove that 5-3 is an irrational number.INCERT]

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64148.

2uQ. 6, Factorizex^{2}+\frac{1}{x^{2}}+2-2 x-\frac{2}{x}

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64149.

Example 5、1 Prove that:

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64150.

EXAMPLE 5.Find:(1) of 40

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