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Andre45 [30]
3 years ago
11

Which choice is equivalent to √10*√5? A. 5√2 B. 25√2 C. 5√10 D. 2√5

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer: 5\sqrt{2}

Step-by-step explanation:

\sqrt{10} *\sqrt{5} =\sqrt{50} =\sqrt{2*5*5} =5\sqrt{2}

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Step-by-step explanation:

if correct to:

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7 0
3 years ago
If tantheta -cottheta =a and costheta +sintheta =b then 4b^2(2-b^2)​
morpeh [17]

Answer:

= 4(1+sin2theta)²

Step-by-step explanation:

Given the equations

tantheta -cottheta =a... 1

costheta +sintheta =b .... 2

We are to find 4b^2(2-b^2)​

Squaring both sides of equation 2

(costheta +sintheta)^2 = b^2

cos^2theta + 2costheta sintheta + sin^2 theta = b^2

(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2

1 + 2costheta sintheta = b^2

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substitute

4b^2(2-b^2)​

= 4(1+sin2theta)(2-1+sin2theta)

4(1+sin2theta)(1+sin2theta)

= 4(1+sin2theta)²

6 0
3 years ago
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