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vazorg [7]
3 years ago
11

A regular hexagon is shown.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Answer:

(C)9 in.

Step-by-step explanation:

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Given the hexagon with a radius of 10 inches

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.

Using Pythagoras Theorem

10^2=5^2+|AB|^2\\|AB|^2=10^2-5^2\\|AB|^2=75\\|AB|=\sqrt{75}\\ |AB|=8.66$ in\\\approx$ 9 in (rounded to the nearest inch)

<u>The correct option is C</u>

Sveta_85 [38]3 years ago
8 0

Answer:

Its 9 just took the test

Step-by-step explanation:

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|6+9x|\le24

this is the correct way to solve these types of exercises

then we will try to do the same where a is (6+9x) and b is 24

|6+9x|\le24\longrightarrow-24\le6+9x\le24

and solve the right inequality for x

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subtract 6 for all expression

\begin{gathered} -24-6\le6-6+9x\le24-6 \\ -30\le9x\le18 \end{gathered}

now divide on 9

\begin{gathered} -\frac{30}{9}\le\frac{9x}{9}\le\frac{18}{9} \\  \\ -\frac{10}{3}\le x\le2 \end{gathered}

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1 year ago
Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.
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Answer :

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