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Explanation : sin30 = 1/2 sin^(-1)(1/2) = 30°

Solution : 30°

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14x^4-6x^2+3x^3+15 is your answer

Its clearly see if i add 1 in this number so, it is became a multiple of 1111.

=> 11,109,999 + 1 = 11,110,000 ; Its clearly see that this is multiple of 1,111.

If we add +1 in that number, so we need to subtract -1 from 1,111. Then we will get the perfect remainder.

1,111 -1 = 1110

So, The remainder is 1,110.

4 is the right answer

4 is the correct answer

cos 3x + cos x - cos 2x = 0[cos 3x + cos x ] - cos 2x = 02 cos [(3x + x)/2] .cos [(3x-x)/2] - cos 2x = 02 cos 2x . cos x - cos 2x = 0cos 2x [ 2 cos x - 1 ] = 0cos 2x = 0 or cos x = 1/2 = cosπ/32x = (2n +1 )π/2 or x = 2mπ +-π/3x = (2n + 1 )π/4 or x = 2mπ +-π/3 ; where n , m∈ I

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Make both equal to 15 xy, and therefore equal to each other.

20x + 30y = 24x + 27y

3y = 4x

you can then substitute this in the first equation

4x+8x = x (4x) make this into a quadratic

4x squared - 12x = 0, the only real integer is 3 (the other is zero).

x = 3, and y must therefore be 4.

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tnx alka

LHS = [(1+sinA-cosA )/(1+sinA+cosA)]²

=[ (1+sin²A+cos²A+2sinA-2sinAcosA-2cosA)/(1+sin²A+cos²A+2sinA+2sinAcosA+2cosA) ]²

= [( 1+1+2sinA-2sinAcosA-2cosA)/(1+1+2sinA+2sinAcosA+2cosA)]²

= { ( 2(1+sinA) -2cosA(sinA+1) / [ 2(1+sinA) + 2cosA(sinA +1 ) ]}²

= { (2(1+sinA)[1 - cosA] /[2(1+sinA )(1 + cosA )] }²

= [ ( 1 - cosA ) / ( 1 + cosA ) ]²

= RHS

tq

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Determinant is (-5)(4)-(3)(-4)=-20+12=-8(answer)

-3(a+b) + 4 ( 2a - 3b) - (2a-b)-3a - 3b + 8a - 12b - 2a + b-3a + 8a - 2a - 3b - 12b + b 8a - 5a - 15b + b3a - 14b

TQ

3znx sms+₹ }|÷|×#×|(. |××|

P= 2 will be the answer

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3x+4y/3u+4v = 3x-4y/3u-4v; (3x+4y)(3u-4v)=(3x-4y)(3u+4v); (9xu-12xv+12yu-16vy)=(9ux-12xv-12uy-16vy)=-24xu+24th = 24xu=24yv= xu=uy; x/y=u/v

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option c is the answer

Answer:1/2Step-by-step explanation:Here, sin 3A + cos 2B = 2 Let sin 3A = cos 2B = 1We know that, sin 90 = 1 Here, sin 3A = 1 ∴ 3A = 90 A = 90 ÷ 3 = 30 We get A = 30 here. Let's find B. We know that, cos 0 = 1 Here, cos 2B = 1 ∴ 2B = 0 B = 0 ÷ 2 = 0 We get B = 0. Now, cos 2A + sin 3B = cos 2 × 30 + sin 3 × 0 = cos 60 + sin 0 = 1/2 + 0 = 1/2

(3b+2a)(3b+2a)(3b+2a)²

(a+b)²=a²+b²+2ab

(3b+2a)²=9b²+4a²+12ab

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Game lost= 7Game won=13Total game played=13+7=20∴Percentage of game did they win=(13/20)×100=65%

taking (a - 3b ) common(3x - y ) ( a - 3b)

Take (2a-3b) as common:-

=(2a-3b){(2x+3y)+(3x-4y)}=(2a-3b){2x +3y+3x-4y}=(2a-3b)(5x-y)

Answer:a)2cos (A+B)

Explanation :{sin(A +3B) + sin(3A +B)}/{sin2A +sin2B}

use formula,sinA + sinB = 2sin(A+B)/2.cos(A-B)/2 sin2A = 2sinA.cosA cos(-a) = cosa

now,

{2sin(A + 3B + 3A + B)/2.cos(A +3B-3A-B)/2 }/{2sin(A + B).cos(A -B)}

=> sin(2A +2B).cos(B - A)/sin(A + B).cos(A -B)

=>2sin(A +B).cos(A + B).cos(B -A)/sin(A + B).cos(A - B)

=> 2cos( A + B)

option a is the right answer

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Given:cylinder:radius=7 cmheight=17 cm

cone:height= 6 cmradius= 7 cm

solution:volume of cylinder=22/7 *r^2 *h=22/7 *7*7* 17=2618 cm^3volume of cone= 1/3 * 22/7 * r^2 *h= 1/3 *22/7 * 7*7*6= 308 cm^3total volume of juice in the glass = 2618-308=2310 cm^3= 2.31 litresin each glass the seller will save 0.31 liters of juice.

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thanks