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70001.

How many runs do these players need to complete aRuns scoredRuns needed tocomplete a centuryPlayer 193Player 297Player 389Player 499

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player 1 need 7 runs player 2 need 3 runs player 3 need 11 runsplayer 4 need 1 run so all answers are correct if you think the answer is correct please like

70002.

Lo men can need 63 m lang Frenchin one day . How many well should beemployed for digging 27 m cong trendsof the same so type in 1 day.

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70003.

elerle 18 A committee of 3 persons is to be constituted from a group ofn. In how many ways can this be done? How many of these committes would3 women.consist of 1 man and 2 women?t matter Therefore, we need to count combinations.

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70004.

Simplify combining like terms:) 21b -32 +7b-20b

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21b - 32 + 7b - 20b

28b - 20b - 32

8b - 32

70005.

5. Subtract the sum of -1032 and 878 from -34.6. Subtract-134 from the sum of 38 and -87.

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-1032-878= -154-154 + (-34) = -188

38+ (-87)= -49-134-(-49) =-86

70006.

5. Subtract the sum of -1032 and 878 from -34.6. Subtract -134 from the sum of 38 and -87.

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70007.

(A) 59(C) 41(B) 58(D) 42

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70008.

26 Solve the following inequation and graph the solution on the number lir-2 < x + 1 < 3 + 4 x 6 R.

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70009.

Exercise 3.2Separate the prime and the non-prime numbers from the following numbers-35, 37, 39, 41, 43, 73, 89, 111, 51Pick out the composite numbers from the given numbers.47, 49, 51, 53, 55, 57, 59, 61, 63, 65Write all twin primes between 99 and 199.tomonte

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Prime numbers are : 37,41,43,73,89.

Non prime numbers are :35,39,51,111

composite no. are 49 59 57 65prime 41 37 89 43 73non primev 111 39 51 35

prime - 41 37 89 43 73composite - 49 59 57 65

70010.

1. 8ab- 12ac.

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70011.

4abc - 8ab

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70012.

8aba + b

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Answer => 2

Given : x = 8ab / (a + b) => x = 4a * 2b / (a + b)=> x / 4a = 2b / (a + b) - - - (1)

Similarly, x / 4b = 2a / (a + b) - - - -(2)

Now, using Componendo & Dividendo in (1) & (2)and adding left to left and right to right we get,(x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) =(2a + a + b) / (2a - a - b) + (2b + a + b) / (2b - a - b)

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) + (3b + a) / (b - a )=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) - (3b + a) / (a - b )=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b - 3b - a) / (a - b)=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (2a - 2b) / (a - b) = 2(a - b) / (a - b)

=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = 2 . . . .(Answer)

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70013.

5. Angle of a Sect6h's 60 . and HS91adǐus4cm tindlt aea and pustmetes?mele9

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Area= theeta/360* π r^2

= 60/360* 22/7* 14*14102.62 cm^2

Perimeteras 2π r consist = 360°1° will consist= 2πr/360now 60° will consist= 2πr/360*60= 2π*14/628π/16cm

step by step

70014.

Let A = {1, 5), B = {3,7} and R = {(a,b) :aEA, b e B and a b is a multiple of 4)The R, from A to B is a relation.(a) f Empty (b) 주ageT Relexive (c) HHFASymmetric (d) Transitive

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70015.

I-ac can of pai m of aea is puintedHow many asof_w need 1 punt

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Solution:

Given;

Length of wall(l)= 15 m,Breadth of wall(b)= 10 m Height of wall(h)= 7 m

Total area to be painted= area of 4 walls + area of ceiling

= 2(l+b)h + lb

=2(15+10)7 + 15×10

= 2×25×7+ 150

=50× 7+150= 350+ 150=500

Total area to be painted=500m²

Given 100m² area can be painted from each can.

Number of cans Required=

Area of hall/ area of 1 can

= 500/100= 5

Hence, 5 cans are required to paint the room.

70016.

5.The sides of a right angleThe base of an isosceles triangle is 12cm and its perimeter is 32em. Find its aea

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70017.

Example 2: Iftwo intersectpassing through their point of intersection, prove that the chords are equal.ing chords of a circle make equal angles with the diameter

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Given that AB and CD are two chords of a circle, with centre O intersecting at a point E.XY is a diameter passing through E, such that ∠ AEY = ∠ DEYDraw OP⊥ AB and OQ ⊥ CD.In right angled DOPE∠POE + 90° + ∠ PEO =180° (Angle sum property of a triangle)∴∠POE = 90° – ∠PEO = 90° – ∠AEY = 90° – ∠DEY= 90° – ∠QEO = ∠QOEIn triangles OPE and OQE,∠PEO = ∠QEO ∠POE = ∠QOE(Proved)OE = OE (Common side)∴ ΔOPE ≅ ΔOQE ⇒ OP = OQ (CPCT)Thus,AB = CD

70018.

9. Prove that the tangents drawn at the end points of a chord of a circle make equal angles withthe chord.

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70019.

Prove that tangents drawn at the ends of a chord of a circle make equal angles with the chord.3 x 2 6

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70020.

otterappiesmuncCap6.Prove that the tangents drawn at the end points ofa chord of a circle make equal angles with the chord.

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70021.

Section Bs. A circle touches all the four sides of a quadrilateral ABCD. Provethat AB + CD BC DA.Prove that the tangents drawn at the end points of a chord of a circle make equal angles with thechord

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70022.

3 6x 3 1a) 1056 44 x 22a) 888

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70023.

41 zrf 359, 62, 65, x, x + 2, 72, 85

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70024.

uise 45Subtract the first term from the second term in thefollowing:1) 8x, 15x2) 6a2b, 14a b3) -6ab, 10ab

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1) 15x-8×= 7x2) 14a^2b-6a^2b= 8a^2b3) 10ab-(-6ab)= 16ab4) -14x^2y-8x^2y= -22×^2y

70025.

Simplify the following by adding like terms.(a)7ab, - 8ab, +10ab, - 19ab

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70026.

6 Find the sum.a 4a2,-5a2,-3a2, 7a2d atb, 2a-b, 3a bb 7ab, 8ab,-10ab,-5abe 3x2 + 4x, 5x2-3x, 2x-4x2

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70027.

Find the smallest number by which each of thefollowing numbers must be divided so that thequotient is a perfect cube.(i) 1600(ii) 162(iii) 34696(iv) 5400Preethacuboid of dimo

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34696/16= 2 1 6 8 .3

option (iii) is correct gave likes to each other

34696/16 =21683 is correct answer

70028.

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m, 9m+ 1 or 9m+8.

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70029.

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m, 9m +1 or 9m +8.

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70030.

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m,9m+ 1 or 9m+8

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70031.

1) Total surface area of cube is 5400 cm2. Find the surface area of allvertical faces of the cube.

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70032.

The radius of the end of a frustum of a cone 45 cm high are 28 cm and 7cm .calculate the volume of the curved surface area and total surface area.

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70033.

Example 2 : If two intersecting chords of a circle make equal anglespassing through their point of internection, prove that the chords are equal

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1

2

70034.

The bank balance of Puanmore thanthat f Susima but less hia the hank halanceof Singh. If the bank balance of Puran. Sushma and Singh be x, y and z respectivelythen which of the following is correct?(a) x<y<z(b) 丿' < x < z(c) z<x< y(d) x < z < y

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So the answer is y<x<z

70035.

Example 2 : If two intersecting chords of a circle make equal angles with the diameterpassing through their point of intersection, prove that the chords are equal.

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70036.

Solve \frac{4}{x}+x=62 / 3

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70037.

g. 8-3 x 44 x 70 x 62

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18 is the correct answer

18 is the correct answer

70038.

factors into regrouping 3xy²+2zx-6z-9y²

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70039.

3. Find the sum of the following terms(a) 17ab,-10ab,-2ab, 12ab(b) xy - 6x2z, 3x22, 2zx-x2z

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70040.

(v) 7044. Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm,5 cm.HHow many suchcuboids will he need to form a cube?

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70041.

Find the smallest number by which each of the following numbers must be dividedtoobtain a perfect cube.(i) 81(Y) 7043.(ii) 128(ii) 135(iv) 192

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70042.

\begin{array} { r } { 13 x - 12 y + 15 = 0 } \\ { 8 x - 7 y = 0 } \end{array}

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answer is x=21 and y =24

answer is x=21 and y =24

answer is x=21 and y =24

70043.

each Umma to show that the cube of any posiive integer9m, 9m1 or 9m 8.

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Let a be any positive integer and b = 3a = 3q + r, where q ≥ 0 and 0 ≤ r < 3Therefore, every number can be represented as these three forms. There are three cases.Case 1: When a = 3q,Where m is an integer such that m = Case 2: When a = 3q + 1,a^3= (3q +1)^3a^3= 27q^3+ 27q^2+ 9q + 1a^3= 9(3q^3+ 3q^2+ q) + 1a^3= 9m + 1Where m is an integer such that m = (3q^3+ 3q^2+ q)Case 3: When a = 3q + 2,a^3= (3q +2)^3a^3= 27q^3+ 54q^2+ 36q + 8a^3= 9(3q^3+ 6q^2+ 4q) + 8a3= 9m + 8Where m is an integer such that m = (3q^3+ 6q^2+ 4q)Therefore, the cube of any positive integer is of the form 9m, 9m + 1, or 9m+8

70044.

d the volume of a cube whose total surface area ts 384 cm2

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70045.

Whrteb) Bluec) Redhe radil of the ends of frustum of cone 45 cm high are 28 cm and 7 cmts volume, the curved surface area andtotal surface area.

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70046.

38, .0027 × .027 × .3 = ?39, 8.32×0.999=?40, .351×.867+.351×(a) .02187000(a) 0-831168(a) 827

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70047.

(2.3)'- 027The value of(2.3)' + 69409 isB) 3(韌册A)2C) 2.327D)2.273

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70048.

le intersect within- the circle, prove that the segments ofIf two equal chords of a circone chord are equaI to corresponding se3. If two equal chords of a circle interSgments of the other chord

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70049.

If x^a=x^b/2 z^b/2 =z^c, then prove that 1 /a, 1/b , 1/c are in AP

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a+c=bput the values b/2+b/2=bhence proved.

70050.

x a x+aZ C Z+ C

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