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marysya [2.9K]
3 years ago
14

Use 3.14 for and do not round your answer. Be sure to indude the correct unit in your answer.

Mathematics
1 answer:
Katen [24]3 years ago
5 0
A= pi x radius ^2
A= 3.14 x 5^2
A= 3.14 x 25
A= 3.15 x 25
A= 78.5
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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
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sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
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sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
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% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
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sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
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\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
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\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
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\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
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tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
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\textit{and now, let's rationalize the denominator}
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7 0
3 years ago
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Answer:

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Subtract the discount from the original price

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3 0
3 years ago
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masya89 [10]
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5 0
3 years ago
the graph F(x) shown below resembles the graph of g(x) = |x| but it has been flipped over the x axis which of the following is t
Radda [10]

Answer:

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