Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Mathematics

1 answer:

Len [333]3 years ago

5 0

18 cm is your correct answer

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part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

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$\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
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r=7
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part 2)

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now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
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