That would be
![x = + \frac{ \sqrt[]{3} }{ \sqrt[]{2} }](https://tex.z-dn.net/?f=x%20%3D%20%20%2B%20%5Cfrac%7B%20%5Csqrt%5B%5D%7B3%7D%20%7D%7B%20%5Csqrt%5B%5D%7B2%7D%20%7D%20)
BTW the plus sign is supposed to have this sign underneath it _
Good luck.
Answer:
314 in² (nearest whole number)
Step-by-step explanation:
<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.
Therefore, from inspection of the given diagram:
- radius = 11 in ⇒ side length = 11 in
To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

where:
- s = length of one side
- n = number of sides
Given:
Substitute the given values into the formula and solve for a:

<u>Area of a Regular Polygon</u>

where:
- n = number of sides
- s = length of one side
- a = apothem
Given:
Substitute the given values into the formula and solve for A:



If you take 31*5 that equals = 155 ways! <span />
Well its $16
for 4 tickets so u multiply everything by four and get $64 for 16 tickets
Answer:
Step-by-step explanation:
![(\frac{5}{2})^{x}+(\frac{5}{2})^{(x+3)}=(\frac{5}{2})^{x}+(\frac{5}{2})^{x}*(\frac{5}{2})^{3}\\\\=(\frac{5}{2})^{x}*[1+(\frac{5}{2})^{3}]](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B%28x%2B3%29%7D%3D%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2A%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B3%7D%5C%5C%5C%5C%3D%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7Bx%7D%2A%5B1%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B3%7D%5D)
Therefore,
