8/11 = 0.72727273
So do 0.85 - 0.72727273
= 0.12272727
Answer:
moos
Step-by-step explanation:
Since moose has 5 letters in it, each letter is 10%. So 4 letters would be 40%.
Answer:
6,4
Step-by-step explanation:
It is B) 45 square units hope it helps
Answer:
![A(\theta)=\frac{162 \theta}{(\theta+2)^2}](https://tex.z-dn.net/?f=A%28%5Ctheta%29%3D%5Cfrac%7B162%20%5Ctheta%7D%7B%28%5Ctheta%2B2%29%5E2%7D)
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Let
r ---> the radius of the sector
s ---> the arc length of sector
Find the radius r
we know that
![2r+s=18](https://tex.z-dn.net/?f=2r%2Bs%3D18)
![s=r \theta](https://tex.z-dn.net/?f=s%3Dr%20%5Ctheta)
![2r+r \theta=18](https://tex.z-dn.net/?f=2r%2Br%20%5Ctheta%3D18)
solve for r
![r=\frac{18}{2+\theta}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B18%7D%7B2%2B%5Ctheta%7D)
step 2
Find the value of s
![s=r \theta](https://tex.z-dn.net/?f=s%3Dr%20%5Ctheta)
substitute the value of r
![s=\frac{18}{2+\theta}\theta](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B18%7D%7B2%2B%5Ctheta%7D%5Ctheta)
step 3
we know that
The area of complete circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
The complete circle subtends a central angle of 2π radians
so
using proportion find the area of the sector by a central angle of angle theta
Let
A ---> the area of sector with central angle theta
![\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20r%5E%7B2%7D%20%7D%7B2%5Cpi%7D%3D%5Cfrac%7BA%7D%7B%5Ctheta%7D%20%5C%5C%5C%5CA%3D%5Cfrac%7Br%5E2%5Ctheta%7D%7B2%7D)
substitute the value of r
![A=\frac{(\frac{18}{2+\theta})^2\theta}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%28%5Cfrac%7B18%7D%7B2%2B%5Ctheta%7D%29%5E2%5Ctheta%7D%7B2%7D)
![A=\frac{162 \theta}{(\theta+2)^2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B162%20%5Ctheta%7D%7B%28%5Ctheta%2B2%29%5E2%7D)
Convert to function notation
![A(\theta)=\frac{162 \theta}{(\theta+2)^2}](https://tex.z-dn.net/?f=A%28%5Ctheta%29%3D%5Cfrac%7B162%20%5Ctheta%7D%7B%28%5Ctheta%2B2%29%5E2%7D)