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Solution:-m = tanA+sinAn = tanA-sinAL.H.S. = {(tanA + sinA)² - (tanA-sinA)²}{tan²A + sin²A + 2tanAsinA - (tan²A + sin²A - 2tanAsinA)}²⇒ = (4tanAsinA)²16tan²Asin²A16tan²A(1 - cos²A)16tan²A - tan²Acos²A16tan²A - sin²A/cos²A× cos²A16tan²A - sin²A16(tan²A + sin²A) (tan²A - sin²A)= 16 mn R.H.S. = L.H.S. proved

1/2 is the correct answer of the given question

1/2 is the answer for this

1/2 is the correct answer for the given question

thanks

Hi Sagar,

Here is the answer to your question.

TFTFTFTFFFT

sai teja is rightas one root is and other cube root of unity i.e. w,w^2,1

LHS=(8/55)³RHS=(8/55)³ LHS=RHS

2.5×6+0.5

BODMAS

15+0.5

=15.5

49) option d is the correct

6/25

the correct answer was 485

Let the roots be p, q and r.We know that 1.p.q.r = -d/a2. p+q+r = -3b/a3. pq+qr+Rp = 3c/a

Since the roots are in AP, we can assume the roots to p-m, p and p+m (where m is the common difference)∴ p-m+p+p+m = -3b/a3p = -3b/ap = -b/a

(p-m)(p)(p+m) = -d/ap.(p²-m²) = -d/asince p = -b/a, we get p²-m² = d/b

Applying the third condition:p(p-m)+p(p+m)+(p-m)(p+m) = 3c/a2p²+(p²-m²) = 3c/a

substituting for p and p²-m²

2b²/a² + d/b = 3c/a

Simplifying this gives:2b³+a²d = 3abc

2b³-3abc+a²d = 0

Amount lent = Rs.2550Rate of interest = 7.5%interest for 12 months = 7.5 * 2550/100 = Rs.191.25interest for 8months= Rs.127.5So amount to be returned = 2677.5amount given = 1422.5 +amount of TV = 2677.5amount of TV = Rs.1255

1 kHz=10^-6 GHzso 1370 kHz=1370×10^(-6)=1.37×10^(-3)GHz

Croprotation isoneof themethods of crop productionthatensures high yield.

It is themethodof growing two or more varieties ofcropson the same land in sequential seasons.

Tally marks, also called hashmarks, are a unary numeral system. They are a form of numeralusedfor counting. They are most useful in counting ortallyingongoing results, such as the score in a game or sport, as no intermediate results need to be erased or discarded.

u know the answer? ?

Leonhard Euler

The most influential mathematician of the 18thcenturywas arguablyLeonhard Euler. His contributions range from founding the study of graph theory with the Seven Bridges of Königsberg problem to standardizing many modern mathematical terms and notations

Perimeter of rectangle = 2(l+b) = 2(1.6+.84) = 4.88m²Area of rectangle = L×B = 1.6×.84 =1.3m

u know the answer? ?

When roots are equal discrimanat is 0

4x² - 3kx + 1 = 0

So, D = (-3k)² - 4 × 4 × 1 = 0

9k² = 16

k² = 16/9

k = √(16/9)

k = -4/3 and 4/3

m^4-16=(m^2-4)(m^2+4)=(m-2)(m+2)(m^2+4)

x² + 7x + 10x² + 5x + 2x + 10x(x + 5) + 2(x + 5)(x + 2)(x+5)

Ok

660 boxes left is the right answer

660 boxes left is the right answer.

x + y = a + b.......(1)ax - by =a^2 -b^2.....(2)(1)×b;bx + by = ab + b^2......(3)(2)+(3);(a+b)x = a(a+b)x= athen y=b( by putting the value of x in (1))

And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation

always true is your answer option no a

Work done is given by the area under F-x curve.

W = (100N*10m) + {0.5*100N*(20-10)m} = (1000 +500) joules = 1500 joules. Ans

Let r be the radius of hemisphere & Cylinder and h be the height of the Cylinder, H be the height of the Total building.GIVEN :Volume of air = 880/21 m³Internal diameter (d) = HInternal Diameter = 2r = HTotal Height of the building (H) = 2r……(1)Height of the building = height of the cylinder + radius of the hemispherical DomeH = h + r 2r = h +r [from eq 1]2r -r = hr = h ……………..(2)Volume of air inside the building = Volume of cylindrical portion + Volume of hemispherical portionπr²h + (2πr³/3)= 880/21π(h)²h + (2π(h)³/3)= 880/21[From eq 2, r= h]πh³ + ⅔ πh³ = 880/21πh³(1+⅔) = 880/21πh³[(3+2)/3] = 880/21πh³[5/3] = 880/2122/7 × h³ × 5/3 = 880/21h³ = (880 ×3 ×7) / 21 × 22 × 5h³ = 40 /5 = 8h³ = 8h = ³√8 = ³√2×2×2h = 2 mh= r = 2 m [From eq 2, r= h]Total height of the building( H) = 2r = 2×2 = 4 mHence, the Total height of the building is 4m.

Suppose a number is xthen3x-3= 363x= 39x= 13

31

Let the number be xyvalue of number = 10x+y10x+y = 8(x+y)10x+y =8x+8y2x-7y=0....................(1)10x+y-45 = 10y+x9x-9y=45x-y = 5.................(2)multiply by -2-2x+2y=-10add to (1)-5y=-10y=2x-y =5x=7Number = 72

the reciprocal is 1/-5

The reciprocal is -1/5

1/-5 is the correct answer

The reciprocal is 1/-5

1/5 is the correct answer

1/-5 is the right answer.

the reciprocal of -5 is 5

the reciprocal of -1/5

(-4)^3/(-4)^2=-4reciprocal is 1/-4

ninth root (512 power 9)

So, we get 512

Third option is correct

i do not know this questions sorry 😢😭

infinity is the answers

infinity is the right answer.

Let, the number be xaccording to the question,{[(x-3)/4]+4}/5=2⇒[(x-3)/4]+4=10⇒(x-3)/4 = 10-4⇒(x-3) = 6×4⇒x-3 = 24⇒ x = 24+3⇒ x =27

∴ The number is 27.