<span>-4(N + 9)
= -4N - 36 .......expand by using distributive property
answer
</span><span>C)-4N - 36</span>
That line is called an apothem.
In a hexagon, the side length = radius
apothem = side length / (2 * tan (180/#sides))
apothem = 8.5 / (2 * tan (180 / 6))
apothem = 8.5 /( 2 * tan (30))
apothem = 8.5 / 2 * tan (30)
apothem = 8.5 / 2 * 0.57735
apothem =
<span>
<span>
7.3612193643
</span>
</span>
Source:http://www.1728.org/polygon.htm
D I believe because if you look at point B it is (3,3) but dilated to (9,9) and 9/3=3. Which also means that the side lengths will be 3 times the original triangle’s side lengths
<u>Given</u>:
Given that the triangle with ∠B = 45°
The length of the side a is 4 units.
The length of the side c is 8 units.
We need to determine the area of the triangle.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![Area = \frac{1}{2} ac \ sin B](https://tex.z-dn.net/?f=Area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20ac%20%5C%20sin%20B)
Substituting a = 4, c = 8 and ∠B = 45° in the above formula, we have;
![Area = \frac{1}{2} (4)(8) \ sin 45^{\circ}](https://tex.z-dn.net/?f=Area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%284%29%288%29%20%5C%20sin%2045%5E%7B%5Ccirc%7D)
Simplifying, we get;
![Area = \frac{1}{2} (4)(8) (0.707)](https://tex.z-dn.net/?f=Area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%284%29%288%29%20%280.707%29)
![Area = \frac{1}{2} (22.624)](https://tex.z-dn.net/?f=Area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%2822.624%29)
![Area = 11.31](https://tex.z-dn.net/?f=Area%20%3D%20%2011.31)
Thus, the area of the triangle is 11.31 square units.