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g100num [7]
3 years ago
15

Let ∠X and ∠Y be complementary. If sin(X) =

Mathematics
1 answer:
Lena [83]3 years ago
8 0
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

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****BRAINLIEST GOES TO THE FIRST CORRECT ANSWER****
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The two equations are vertical angles, which mean they are equal.

Set each equation to equal each other and solve for x.


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3 years ago
This box is a right rectangular prism with a base that has dimensions of 6 m and 7 m. The volume of the box is 378 m3. What is t
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Nitella [24]

Answer:

  • y(2x² + y) / x(5y² - 6x)

Step-by-step explanation:

<u>Simplify the numerator:</u>

  • 1/x² + 2/y =
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  • (2x² + y)/(x²y)

<u>Simplify the denominator:</u>

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<u>Simplify the fraction:</u>

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  • y(2x² + y) / x(5y² - 6x)
7 0
3 years ago
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