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4 years ago

Find the value of M when sin ⁡M=0.53788.

1 answer:

4 0

M=32.54°; m∠E = 36.87°.

To find the measure of ∠M, we take the inverse sine of both sides:

sin M = 0.53788
sin⁻¹(sin M) = sin⁻¹(0.53788)
M = 32.54°

For ΔDEF, we have the side opposite ∠E and the hypotenuse of the triangle. Opposite/hypotenuse is the ratio for sine, so our problem looks like this:

sin E = 3/5
sin E = 0.6

Take the inverse sine of both sides:
sin⁻¹(sin E) = sin⁻¹(0.6)
E = 36.87°

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Step-by-step explanation:

Given the expression

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Let us solve the expression step by step to get the equivalent

$\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$

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$\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)$

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