Answer:
Area of nonagon = 1044.6 square millimetres.
Step-by-step explanation:
Let side of the nonagon is a
Given:
The perimeter of nonagon is 117 millimetres
![perimeter=9a](https://tex.z-dn.net/?f=perimeter%3D9a)
Put the perimeter value in above equation
![a=\frac{117}{9}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B117%7D%7B9%7D)
![a=13](https://tex.z-dn.net/?f=a%3D13)
So the side of the nonagon is 13
The area of the nonagon is .
![A=\frac{9}{4} a^{2} cot(\frac{180}{9})](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B9%7D%7B4%7D%20a%5E%7B2%7D%20cot%28%5Cfrac%7B180%7D%7B9%7D%29)
where a is side of the nonagon.
Put value of side in above equation
![A=\frac{9}{4} 13^{2} cot(20)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B9%7D%7B4%7D%2013%5E%7B2%7D%20cot%2820%29)
![A=\frac{9\times 169}{4}\times 2.747}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B9%5Ctimes%20169%7D%7B4%7D%5Ctimes%202.747%7D)
![A=\frac{1521}{4}\times 2.747}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1521%7D%7B4%7D%5Ctimes%202.747%7D)
![A=380.25\times 2.747}](https://tex.z-dn.net/?f=A%3D380.25%5Ctimes%202.747%7D)
![A=1044.55](https://tex.z-dn.net/?f=A%3D1044.55)
Therefore, the area of the nonagon is 1044.6 square millimetre.
Answer:
Step-by-step explanation:
If there is 8 lb of soil and he is dividing it among 5 pots, then there is
8/5 pounds of soil in each pot. That is, as a mixed fraction, 1 3/5
Tree...........................dock
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boat
use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2
200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6
Answer: A,B, and E for sure. I'm not sure about C though.
Step-by-step explanation: