a stop sign is shown. each side measures 12.4 inches , and the distance from any side to the opposite side is 30 inches

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

2332 inches from the opposite side

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Check the picture below. So, more or less looks like so.

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$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
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\\\\\\
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\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
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