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3 years ago

Evaluate the expression 6÷3+17=

Mathematics

1 answer:

charle [14.2K]3 years ago

8 0

Answer:

=19

Step-by-step explanation:

=6÷3+17

=2+17

=19

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Find the area of the shaded region

o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)$

$A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill$

$\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}$

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2 years ago

HELP URGENT GET IT CORRECT ALL OF THEM

Nikolay [14]

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2/9

Step-by-step explanation:

1/3 * 2/3 = 2/9

Answer:

136/9

Step-by-step explanation:

4 1/4 * 2 2/3 = 17/3 * 8/3 = 136/9 = 15 1/9

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3 years ago

What is 9,999,999 times 24

Otrada [13]

The Answer is -
<span>
239999976</span>

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3 years ago

Evaluate the expression 6÷3+17=​

Evaluate the expression 6÷3+17=