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3601.

The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre is1 9200. Find the width of the room.

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3602.

2.Simplify each of the following expressions:© (3+ »3) (2 + v)m) (15+de)m (3+ V3) (3 – 13)v (15-12) (15 + 2).

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1) 6+3/2 +2/3 + /62)63)7+2/104)3/ is the symbol of squareroot

3603.

13151513152153)3.It is given that a leMondays isap year has 53 Sundays, the probability that it has 5324)22)3)7A number is

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leap year has 2 extra days than 52 weeks

so, probability for 53 sundays is 2/7 and probability of 53 Monday with 53 sundays is possible only when both sunday and Mondays takes the extra 2 days , out of those 7 pairs

so, probability is 1/7

3604.

If a bank is offering 16% per annum rate ofinterest, then how much time will it take totriple a sum?0

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Triple a sum so I = 2P 2P = P×16×T/100 T = 100/8 = 12.5 years

3605.

7.The terThe temperature of an hot iron rod is 200°C. Every minute, the temperature ondown by 10'C. What will be the temperature of iron rod after 14 min.

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200-14(10) 200-14060 degree celsius

200-14 (10)200-14060 degree Celsius

3606.

152152f)

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(a-b)² = a² +b² -2ab.(X/2 - y/5)²= (X/2)² +(y/5)² -2(X/2)(y/5)= x²/4 +y²/25 -(2xy)/5

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3607.

(15^50/15^19)*(3^2*5^2)^2

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3608.

If 22.5 metres of a uniform rod weighs 85.5kg. What will be the length of the same rod weigh22.8kg?6.

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3609.

5. The volume of a circular iron rod of length Im is 3850 cm. Find diameter of rod.

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3610.

Write any one linear equation of two variables whose solution is (3,4).

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Tank you mam

3611.

Give the geometric representations of y = 3 as an equation(i) in one variable(ii) in two variables

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3612.

18. If in an AP, the sum of p terms is q and the sum of q terms is p, then find the sum of p tm19. If the sum of p terms of an A P. is a and the sum of a terms is n then show that the sum of-i

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Let the first term of the given AP be ‘a' and the common difference be ‘d'. Then, the sum of first ‘n' terms of the AP is given by:

S(n)= n/2 {2a+(n-1)d} …….(1)

Here, it is given that:

S(p)=q and S(q)=p

Using (1), we get:-

q=p/2 {2a+(p-1)d}

and p= q/2 {2a+(q-1)d}

i.e. 2a+(p-1)d = 2q/p …..(2)

and 2a+(q-1)d = 2p/q …..(3)

Subtracting (3) from (2), we get:

(p-1-q+1)d= 2q/p - 2p/q

So, d= 2(q^2-p^2)/pq(p-q)

i.e.d= -2(p+q)/pq

Now, substituting the value of ‘d' in eq.n (2), we get:

2a + (p-1){-2(p+q)/pq} = 2q/p

i.e. 2a= 2q/p + 2(p-1)(p+q)/pq

This gives:

a= (p^2+q^2-p-q+pq)/pq

So, we have

S(p+q)= (p+q)/2 { 2(p^2+q^2-p-q+pq)/pq-(p+q-1) 2 (p+q)/pq}

i.e. S(p+q)= (p+q)/pq { p^2+q^2-p-q+pq-p^2-pq-qp-q^2+p+q}

So,S(p+q) = -(p+q). … :

thanks

please do this calculation in a expanded way please

3613.

4. Give geometric representations of y 3 as an equation (i) in one variable (i) in twovariables.

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3614.

) The sum of three consecutive terms of an AP is 15 and the sum of theiris 83. Find the terms.10 Find five numbers in A.Р., whose sum is 25 and the sum of whose squares is w.

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3615.

Jl Sultract the sum of 2 and 3 from the sum of 7 and 5Subtract the sum of 212sum516

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3616.

same sum and at the sale o7. Simple interest on a certain sum of money for4 years at 4% per annum exceeds thecompound interest on the same sum for 3228. Findyears at 5 percent per annum bythe sumfoin sum of money

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u have given wrong answer for wrong statement

Principal = PSimple interest = P * 4/100 * 4 years = 0.16 P

Compound interest = P * (1 + 5/100)³ = 1.157625 P - P = 0.157625 P

Given, 0.16 P - 0.157625 P = Rs 228

P = Rs 94,736. 84

3617.

&, छ और ( त्रिभुज 90 के अंतःकोण हों, तो दिखाइए किLB C) Asin = C08S ==2 23४.५. जज ०

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3618.

Mohan borrowed a sum of Rs 75.000sum of Rs 75,000 from a bank at a rate of 19% per annummuch sum he will return after 542 years?interest. How much sum he will

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A=p(1+r/100)n times then7500(219/200) 11times (beacuse() n/2=1+r/200then answeris=203544.45

3619.

U.P. 200115. The sum of an infinite seriesis 3 and sum of the squares of these terms isalso3.Find the senie sum of an infinite series is 3 and sum of the squares of these terms is also 3. Find the series.

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3620.

In AABC,A = 120° and 2LB-32C. Find LB and <c.

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3621.

जाहरण 23 N+23+5d ज्ञात कीजिए।

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3622.

Exapand (2a+3b+4c)ÂŽ.

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3623.

4. Solve: (D +5D+6)y=0.giiss: (D +5D+6)y =0

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D²+5D+6=0D²+3D+2D+6=0D(D+3)+2(D+3)=0(D+2)(D+3)=0D=-2,-3

3624.

a-b , c-2a-3b+4c

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3625.

a b c 2a-3b+4c

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3626.

2A = 3B = 4C then A : B : C =

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2A = 3B = 4C = k A = k/2 B = k/3 C = k/4 A : B : C = k/2 : k/3 : k/4 = 6 : 4 : 3

3627.

If 2A=3B=4C, then what value A:B:C.

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lets compare all with constant kso 2A=3B=4C=kso A=k/2,B=k/3,C=k/4so A:B:C=k/2:k/3:k/4=6:4:3

3628.

(v) (x2-y2) from/2x2-3y3. Subtract (2a -3b + 4c) from the sum of (a +3b -4c), (4a -b+ 9c) and (-2b +3c-a)4 Subtract the sum of (8m -7n +6p2) and (-3m-4n - p2) from the sum of (2m + 4n -3p)and (-m - n- p2).fia2 +and (-10a -8+ 8a2) from -3.

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A+3b-4c+4a-b+9c-2b+3c-a-(2a-3b+4c)=4a+8c-2a+3b-4c=2a+3b+4c

3629.

(12a + 17b) * 4c

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Product will be(12a + 17b) × 4c12a × 4c + 17b × 4c48ac + 68 bc

thank you

3630.

1l. If a, b and c are in A.P. show that(i) 4a, 4b and 4c are in A.P(ii) a + 4, b +4 and c +4 are in A.P

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3631.

sider the expression - 4a b c2 - 20ab + 9, in the term-abe, write the coefficient of4a2b3c2, write the coefficient of(d)-4(vi) a2c2(ttt) ab2(vii) 4b3ciu) 4c(viii) a be2(v) 4abe

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below are the coefficientsa)-a^2b^2c^2b)a^2b^2c^2c)-4ac^2d)-a^2b^2ce)-abcf)-4b^2g)-a^2ch)-4

3632.

3a+5b-4c+2a-5b-4c

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3a + 5b - 4c + 2a - 5b - 4c = 5a - 8c

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3633.

4a + 5ba8- 4a--If =find4a-5b

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Given a/b = 8/3

Then, 4a + 5b/4a - 5bDivide numerator and denominator by b

We get, (4a/b + 5) / (4a/b - 5) = (4*8/3 + 5)/(4*8/3 - 5)= (32 + 15) /(32 - 15)= 47/17

3634.

wiłyuDC-lasimplity-la-b-ch-clta,- 3c (3) a +36 141ba-2c(2) a- 3c (3)m-+(1) O(2) (4 + ²3 s (mm) (414

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1)4 is the best answer

so it wrong answer don't use it

4 is the right answer

4 is the best answer

3635.

Exercise 3C1. Subtract:(i) 5 from 5ON

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2/5 - (3/-5) or,2/5-(-3/5)2/5+3/5...... since [-(-)=+]5/51/1 or 1

3636.

prove thatit sinA = SEC A TOMA- Sina

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3637.

inti shu2

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thanks

3638.

1. Given- , prove that 3-5b 3c-5d3a +5b 3c 5dac. Givenprove thatb d

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3639.

8. Simplify : a-lb-{c-(a-b-c-c)+a(1) a -2c (2) a-3c (3) a+3c (4) a + 2c

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3640.

Which of the following are equations?(a) 3x-1 10(b) 1-3x >2(c) 3d+ 1 <20(d) 3c+ 3-9

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Equations are: a) 3x - 1 = 10d) 3c +3 = 9

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3641.

(7a-9b) (7a-9b)

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3642.

atbi7. In Figure 7a and 7b, AB CD. Determine the values ofx, y and zC 0RDFlg. 7aFig. 7b

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not correct answer

3643.

7a+14a

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7a + 14a = 21a

The coefficients are the same and therefore the two terms can be added.

3644.

(v) -7a=84

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-7a= 84a= (-84/7)a= -12will be the answer

3645.

The cost of carpeting a room-15 m long with a carpet of width 75,cm at 80 per metre19200, Find the width of the room.

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3646.

The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre is9200. Find the width of the room.

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3647.

7. The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre is19200. Find the width of the room.

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3648.

2 A cand ts dhowntoma shua caond qpheaten than 2 but JeMen than ?13b.52d. 15292

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3649.

64a3-1

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a=1\4 is the right answer

a = 1/4 is the right answer

a= 1/4 is the correct answer me

a=1/4 is the correct answer

2 is the correct answer

64a^3-1=064a^3=1a^3=1/64a^3=1/4

a=1/4 is the right answer

3650.

64a3-27b3-144a2b+108ab2

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64a³-27b³-144a²b+108ab²(4a)³-(3b)³-3(4a)(3b)[4a-3b]

(a)³-(b)³-3ab(a-b)=(a-b)³

(4a)³-(3b)³-3(4a)(3b)[4a-3b]=(4a-3b)³