Answer:
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)
Step-by-step explanation:
Given
Shape: Regular Dodecagon
Interior Angle = 8x - 2
Required
Determine x
The sum of n terms of a regular polygon is:
![Sum=180(n-2)](https://tex.z-dn.net/?f=Sum%3D180%28n-2%29)
Sides of a dodecagon is 12; So, we have:
![Sum=180(12-2)](https://tex.z-dn.net/?f=Sum%3D180%2812-2%29)
![Sum=180(10)](https://tex.z-dn.net/?f=Sum%3D180%2810%29)
![Sum=1800](https://tex.z-dn.net/?f=Sum%3D1800)
Each angle is gotten by dividing 1800 by 12
![Angle = \frac{1800}{12}](https://tex.z-dn.net/?f=Angle%20%3D%20%5Cfrac%7B1800%7D%7B12%7D)
![Angle = 150](https://tex.z-dn.net/?f=Angle%20%3D%20150)
Equate this to 8x - 2:
![8x - 2 = 150](https://tex.z-dn.net/?f=8x%20-%202%20%3D%20150)
Solve for x
![8x = 150 + 2](https://tex.z-dn.net/?f=8x%20%3D%20150%20%2B%202)
![8x = 152](https://tex.z-dn.net/?f=8x%20%3D%20152)
![x = 152/8](https://tex.z-dn.net/?f=x%20%3D%20152%2F8)
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)
Volume fomula: V = wlh
V = volume
h = height
w = width
l = length
We are given these values:
V = 882
w = 14
l = 7
Solve for h in the orignal formula:
882 = (14)(7)h
882 = 98h
882/98 = 98h/98
9 = h
Therefore, the answer is [ 9cm ]
Best of Luck!
Convert 97.5 inches to centimeters. 97.5 in=247.65 cm. The area is 247.65 inches^2. Hope this helps! ;)
X^2 -13x +30 = 0
x*x - 15x +2x +15*2 = 0
x(x -15) -2(x -15) = 0
(x -2)(x -15) = 0
x -2 = 0
x =2
x -15 =0
x = 15
You will need 89 drums to ship out 5,300 liters if each drum holds 60 gallons.