3 years ago

Find the missing angle in the triangle (type in numbers only)

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:42 degrees

Step-by-step explanation:

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Inverse of y=14x2 show derivations

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<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

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4 inches

Step-by-step explanation:

Actual dimensions:

Length = 15 feet

Width = 12 feet

Scale dimensions:

Length = 5 inches

Width = x inches

Write a proportion:

$\dfrac{\text{Actual length}}{\text{Scale length}}=\dfrac{\text{Actual width}}{\text{Scale width}}\\ \\ \\\dfrac{15\ feet}{5\ inches}=\dfrac{12\ feet}{x\ inches}\\ \\x=\dfrac{5\ inches\times 12\ feet}{15\ feet}=4\ inches$

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