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3 years ago

If 60 of the 200 students are girls, then what percent of the students are girls?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

5 0

30%?
60/200=.3*100=30%

Colt1911 [192]3 years ago

4 0

Divide 60 by 200 and when you round it out it should be 3%

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Step-by-step explanation:

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ANSWER
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EXPLANATION

We were given that,

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$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

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$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

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This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

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