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3 years ago

10

Movie theater makes 40% on every ticket they sell. If the theater made $24,850 in ticket sales last month, what was the total mo

vie ticket sales last month?

1 answer:

shtirl [24]3 years ago

4 0

If you were supposed to find 40% of $24,850 then the answer would be $9940.

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Find the exact value of cos285 using the fact that 285=330-45

nasty-shy [4]

$\bf \textit{Sum and Difference Identities}
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cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\
-------------------------------\\\\
cos(285^o)
\\\\\\
cos(330^o-45^o)=cos(330^o)cos(45^o)+sin(330^o)sin(45^o)
\\\\\\
cos(330^o-45^o)=\left( \frac{\sqrt{3}}{2} \right)\left( \frac{\sqrt{2}}{2} \right)~~+~~\left( \frac{1}{2} \right)\left( \frac{\sqrt{2}}{2} \right)
\\\\\\
cos(330^o-45^o)=\cfrac{\sqrt{6}}{4}+\cfrac{\sqrt{2}}{4}\implies cos(330^o-45^o)=\cfrac{\sqrt{6}+\sqrt{2}}{4}$

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