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Salsk061 [2.6K]

3 years ago

10

the ratio of boys to girls in a chorus is 5:6. which shows an equivalent ratio A 10 boys to 12 girls B 15 boys to 19 girls C 20

boys to 25 girls or D 24 boys to 28 girls

1 answer:

Agata [3.3K]3 years ago

7 0

A is the answer because if you multiply two to 5 and 6 you'll get 10 and 12
~JZ

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3 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

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Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

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$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

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$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

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$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

Stumped on a few questions.. Grrrr Will give as many hearts and thanks as possible for right answer!<3 :)

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Th one on the left I wanna say x=16 and the right is x=10

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3 years ago