A discount clothing store is selling a $72 sports jacket for $60. What is the percent of discount?

1 answer:

4 0

well, from 72 to 60 we know they're discounted by 12 bucks, since we know 72 is the 100%, how much is 12 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 72&100\\ 12&x \end{array}\implies \cfrac{72}{12}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=16.\overline{66}$

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16. Solve for the angle x. cos(¹/2x) = ¹/2

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Answer:

We know that ,

$\rightarrow \tt \cos( \frac{\pi}{3} ) = \frac{1}{2}$

So ,

$\: \rightarrow \tt \cos( \frac{1}{2}x ) = \cos( \frac{\pi}{3} ) \\ \\ \rightarrow \tt \frac{1}{2}.x = \frac{\pi}{3} \\ \\ \rightarrow \tt x = \frac{2\pi}{3}$

we can add 2 pi to it since there will be no change in the value

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$\: \rightarrow \tt \cos( \frac{14\pi}{6} ) = \frac{1}{2} \\ \\ \\ \rightarrow \tt \frac{1}{2} x = \frac{14\pi}{6} \\ \\ \rightarrow \tt x = \frac{7\pi}{3}$