Answer:
![\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi](https://tex.z-dn.net/?f=%5Ccheckmark%20%5Ctext%7BB.%20The%20area%20of%20the%20circle%20is%20%7D%20729%5Cpi%2C%5C%5C%5Ccheckmark%20%5Ctext%7BD.%20The%20arc%20length%20of%20the%20sector%20is%20%7D%2012%5Cpi)
Step-by-step explanation:
Area of a circle with radius
: ![r^2\pi](https://tex.z-dn.net/?f=r%5E2%5Cpi)
Circumference of a sector with radius
: ![2r\pi](https://tex.z-dn.net/?f=2r%5Cpi)
Area of sector with angle
:
.
Arc length of sector with angle
: ![2r\pi\cdot \frac{\theta}{360}](https://tex.z-dn.net/?f=2r%5Cpi%5Ccdot%20%5Cfrac%7B%5Ctheta%7D%7B360%7D)
Using these equations, we get the following information:
Area of circle: ![27^2\pi=729\pi](https://tex.z-dn.net/?f=27%5E2%5Cpi%3D729%5Cpi)
Circumference of a circle: ![2\cdot 27\cdot \pi=54\pi](https://tex.z-dn.net/?f=2%5Ccdot%2027%5Ccdot%20%5Cpi%3D54%5Cpi)
Area of sector: ![27^2\pi\cdot \frac{80}{360}=162\pi](https://tex.z-dn.net/?f=27%5E2%5Cpi%5Ccdot%20%5Cfrac%7B80%7D%7B360%7D%3D162%5Cpi)
Arc length of sector: ![2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi](https://tex.z-dn.net/?f=2%5Ccdot%2027%5Ccdot%20%5Cpi%20%5Ccdot%20%5Cfrac%7B80%7D%7B360%7D%3D12%5Cpi)
Answer
-2.25 -13/5 1 3/5 -2.25
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
4 flavors
2 toppings
2 containers
4x 2= 8
8x2=16
Answer:
year 2139
Step-by-step explanation:
The population will double when the factor e^(.005t) is 2.
e^(.005t) = 2
.005t = ln(2)
t = ln(2)/0.005 = 138.6
The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.