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Nezavi [6.7K]
3 years ago
13

Find x. Round your answer to the nearest tenth of a degree. Lo 40

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

x = 62.3 degrees.

Step-by-step explanation:

We should notice a certain trigonometric function that works here.

tan x = opposite side / adjacent side

tan x =  40/ 21

x = arctan (40/21) = 62.3005 degrees

x = 62.3 degrees.

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Well, what's the diffrence from 5/4 to 3/8?

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so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
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