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A(3,-4); B(9, -4)=(12, 16),B(9,-4)C(5,-7)=(14,,11); C(5,-7)D(7,-7); CD(12, 14) DA(7,-7)(3,-4)=(10,11)

Interest = 150000*17*7/2*100

= 89250 rupees

-12<-5<-4<-2<0<5<7<18

Let original price of blanket be x

After 12% discount Reduced price of blanket= 748

Then,x(1 - 12/100) = 748x(1 - 3/25) = 748x (22/25) = 748x = 748*25/22x = 34*25x = 850

Therefore, original price of blanket is Rs 850

first take out 12% of 748 .. then add the result to 748

When you give someone a flower or a friendship bracelet or something symbolic of the way you feel about them, you're giving them atokenof your affection. Atoken isnot only something sentimental (like a keepsake) or symbolic (like your friendship bracelet).

so intelligent

3/5 = 3×10/5×10 = 30/50

4/5 = 4×10/5×10 = 40/50

so,

four numbers between 3/5 and 4/5 are

31/50, 35/50, 36/50, 38/50

Let us assume, to the contrary, that 7-√5 is rational

That is, we can find Coprime a and b (b≠ 0) such that

7-√5 = a/b

Therefore, 7 - a/b = √5

Rearranging this equation √5 = (7b -a)/b

since a and b are integers,so (7b -a)/b is an rational.

And so √5 is rational

But this contradicts the fact that √5 is irrational.

This contradiction has arisen because of our incorrect assumption that 7-√5 is rational.

Therefore we can conclude that

7-√5 is irrational.

PopulationVotesPrice of carsParticles of sugar in 1 kgSand particles

Total population=3452+2435+1542=7429

1+cosx=2cos^2(x/2)1-cosx=2sin^2(x/2)tan^-1(root(2sin^2(x/2)/2cos^2(x/2)))=tan^-1(root(tan^2(x/2)))

( now 0<x<pie so 0<x/2<pie/2so x/2 is in first quadrant so root(tan^2(x/2))=tan(x/2) )

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

5th term is = 5C5 (2y)(2y)(2y)(2y)(2y) = 32y*y*y*y*y

3x. cos`1√1+x^2 is the right answer

3x cos 1√1+x^2 is right answer

x^2 - 3x + 4

= x^2 - 4x + x - 4

= x(x - 4) + 1(x - 4)

= (x + 1)(x + 4)

what. g

y= (√x)^y

take log

log y = y log√x

differentiate both side wrtx

1/y. y' = y'log√x + 1/2√x. 1/√x .y

1/y. y'= y' log√x + 1/2x . y

y'( 1/y - log √x) = y/2x

y'= y/2x( 1/y - log √x)

D) is the correct answer

d) is the right answer of the following

Explanation : 1 m = 39.37 inch 1 sq cm = 0.0001 sq m = 0.0001 × 39.37 × 39.37 = 0.155 sq inch

Answer : 0.155 sq inch

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Cost of a dozen eggs = 8.40 cost of 1 egg = 8.40/12 (since , 1 dozen = 12 eggs)

=> rs 0.7

cost of 100 eggs = 0.7 × 100 => rs 70

CP = rs 70gain % = 15%

sp = (100+gain%)/100 × cp=> sp = (100+15)/100 × 70=> sp = 115/100 × 70=> sp = 115×7/10=> sp = rs 805/10=> sp = rs 80.5

thank you

Thanks

5740 = n/2 * 14 + 7n - 7

7n + 7n - 7 = 5740

7(n + n - 1) = 5740

2n - 1 = 5740/7

2n = 820 + 1

n = 821/2

n = 410.5

Any natural number it's " n = 5k n = 5k±1 n = 5k±2 where k natural number k Case n = 5k then n^2+n+1 = 25k^2+5k+1 = 5k(k+1)+1 then not divisible by 5 (remainder 1) CAse n = 5k±1 then n^2+n+1 = 25k^2 ± 10k+1 + 5k±1+1 = 5k(5k±1) +2±1 then not divisible by 5 (remainder 3 or 1) CAse n = 5k±2 n^2+n+1 = 25k^2 ± 10k+4 + 5k±2+1 = 5k(5k±1+1) ± 2 then not divisible by 5 (remainder 2 or 3) Then n^2+n+1 not divisible by 5

If we put x=0 we will get 0/0 form so using L'hospital rule lim x->0 (tanx + xsecx*secx)/(4sin4x) If we put x=0 we will get 0/0 form so using L'hospital rule lim x->0 (secx*secx+secx*secx+2xsecx*secx*tanx)/(16cos4x) = (1+1)/(16) = 2/16 = 1/8

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