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Misha Larkins [42]
3 years ago
10

Multiply and simplify.

Mathematics
1 answer:
dem82 [27]3 years ago
3 0
Answer:
48x-112

Explanation:
(3x-7)8•2
(3x-7)•16
48x-112

I hope this helps!
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Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

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k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

8 0
3 years ago
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