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Alexxx [7]
1 year ago
14

Answer these 4 for me please help me step by step

Mathematics
1 answer:
tangare [24]1 year ago
6 0

4.

The equation we have is:

\frac{8}{5}a=-6

To solve for "a", we want to isolate it in one side.

For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:

\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}

Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":

\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}

And that is the answer to 4.

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Given:

Side length = 12 in

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Let us find the apothem using formula:

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$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}

$a=\frac{6}{ \tan (30^\circ)}

$a=\frac{6}{ \frac{1}{\sqrt{3} }}

$a=6\sqrt{3}

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

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The area of the regular polygon is 374.1 in².

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Consider these three squares with known area 25, 144,169
hram777 [196]

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Step-by-step explanation:

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