Find the number of sides for the regular polygon described if each exterior angle is 9

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

The polygon has 40 sides.

Work is provided in the image attached.

swat323 years ago

3 0

Sum of all exterior angles = 360°

If each angle is 9°,
Number of sides = 360 ÷ 9
Number of sides = 40

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Answer: Number of sides = 40
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Please help asap 25 pts

Kazeer [188]

$s=12\sqrt{4t}+10$

$for\ x=0\to y=12\sqrt{4\cdot0}+10=12\sqrt0+10=10\\for\ x=1\to y=12\sqrt{4\cdot1}+10=12\sqrt4+10=12\cdot2+10=34\\for\ x=4\to y=12\sqrt{4\cdot4}+10=12\sqrt{16}+10=12\cdot4+10=58\\for\ x=6\to y=12\sqrt{4\cdot6}+10=12\cdot2\sqrt6+10=24\sqrt6+10\approx69\\for\ x=10\to y=12\sqrt{4\cdot10}+10=12\cdot2\sqrt{10}+10=24\sqrt{10}+10\approx86\\for\ x=12\to y=12\sqrt{4\cdot12}+10=12\cdot4\sqrt3+10=48\sqrt3+10\approx93$

$\underline{x|\ 0|\ 1\ |\ 4|\ 6\ |10|12|}\\y|10|34|58|69|86|93|$

$\text{The graph in attachment}$

$\boxed{Answer:\ about\ \$93,000}$