ANSWER
![96 \sqrt{3} {cm}^{2}](https://tex.z-dn.net/?f=%2096%20%5Csqrt%7B3%7D%20%20%7Bcm%7D%5E%7B2%7D%20)
EXPLANATION
The area of a regular polygon is
![Area= \frac{1}{2} ap](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7D%20ap)
where 'a' is the apothem of the polygon and 'p' is the perimeter of the polygon.
From the diagram,
![\sin(60) = \frac{a}{8}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7Ba%7D%7B8%7D%20)
a=8sin(60)
![a = 4 \sqrt{3}](https://tex.z-dn.net/?f=a%20%3D%204%20%5Csqrt%7B3%7D%20)
![\cos(60) = \frac{l}{8}](https://tex.z-dn.net/?f=%20%5Ccos%2860%29%20%20%3D%20%20%5Cfrac%7Bl%7D%7B8%7D%20)
![l = 8 \cos(60)](https://tex.z-dn.net/?f=l%20%3D%208%20%5Ccos%2860%29%20)
![l = 4](https://tex.z-dn.net/?f=l%20%3D%204)
The length of one side of the hexagon is 2×4=8.
The perimeter of the hexagon is
p=6×8=48
The area of the hexagon is
![= \frac{1}{2} \times 4 \sqrt{3} \times 48](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%204%20%5Csqrt%7B3%7D%20%20%5Ctimes%2048)
![= 96 \sqrt{3} {cm}^{2}](https://tex.z-dn.net/?f=%20%3D%2096%20%5Csqrt%7B3%7D%20%20%7Bcm%7D%5E%7B2%7D%20)
When i babysit, i get 4 dollars for showing up, and them 2 dollars for every hour that im there. X=hours
1st answer : 1116 - (6x19) /6
If the family buys 6 tickets and the travel insurance is $19 per ticket:
6 x $19 = $114
Take away the total cost from the insurance
$1,116 - $114 =$1,002
6 tickets cost $1,002
Divide $1,002 by 6
$1,002 / 6 = $167
2nd ANSWER::: each ticket costs $167
Divide 4 and 5/8 by 5/8. you will get 7 and 2/5, or 7.4. since this you need whole pieces of wood, round down to 7.
final answer=7 pieces of wood