2 years ago

Find the measure of the indicated angle to the nearest degree.

Mathematics

1 answer:

sergejj [24]2 years ago

3 0

Answer:

$\cos( \theta) = \frac{adjacent}{hypotenuse} \\ \cos( \theta) = \frac{52}{56} \\ \cos( \theta) = 0.9286 \\ \theta = \cos {}^{ - 1} (0.9286) \\ \theta = 21.78 \degree$

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Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

$f\left(x\right)\:=\:\frac{1}{3}x\:+\:5$

$g(x) = 3x - 15$

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

$y=\frac{1}{3}x+5$

Replace x with y

$x=\frac{1}{3}y+5$

Solve for y

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Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

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