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Snezhnost [94]
3 years ago
11

A stage designer is making a rectangular drape that is 7 yards in length and 16 yards in width. The fabric for the drape cost $2

.90 per square yard. How much will it cost to make the drape?
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0
Yard to square yard
example: 1yard*1 = 1square yard so 6*6=36 square yards.   7*7=42
36*2.90=104.40
42*2.90=121.8
104.40+121.8=$226.20
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Recall that to get the x-intercepts, we set the f(x) = y = 0, thus

\bf \stackrel{f(x)}{0}=-4cos\left(x-\frac{\pi }{2}  \right)\implies 0=cos\left(x-\frac{\pi }{2}  \right)
\\\\\\
cos^{-1}(0)=cos^{-1}\left[ cos\left(x-\frac{\pi }{2}  \right) \right]\implies cos^{-1}(0)=x-\cfrac{\pi }{2}
\\\\\\
x-\cfrac{\pi }{2}=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}

\bf -------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\\\\
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Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of
xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

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There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}

Hence the answer is

\frac{1}{36}

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