Answer: 10 inches.
Step-by-step explanation:
Since the pecan pie is a circle, you can use this formula:
![arc\ length=r\theta](https://tex.z-dn.net/?f=arc%5C%20length%3Dr%5Ctheta)
Where "r" is the radius and
is the central angle of the arc in radians.
If the pecan pie has been cut into 8 equal pieces then the central angle is:
![\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B2%5Cpi%7D%7B8%7D%5C%5C%5C%5C%5Ctheta%3D%7B%5Cfrac%7B%5Cpi%7D%7B4%7D)
Now you know the arc length and the central angle, then, you can solve for "r" from
:
![\frac{arc\ length}{\theta} =r](https://tex.z-dn.net/?f=%5Cfrac%7Barc%5C%20length%7D%7B%5Ctheta%7D%20%3Dr)
Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:
![r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7.85in%7D%7B%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5C%5C%5C%5Cr%3D10in)
The answer is 3 (x+b) (x-2)
Yw! :)
Answer:
We set up 2 equations
A) C + A = 100
B) 5C + 12A = 780
We multiply A by -5
A) -5C -5A = -500 then we add B
B) 5C + 12A = 780
7A = 280
Number of Adults = 40
5C = 780 - 40*12
5C = 780 -480
5C = 300
Number of Children = 60
Step-by-step explanation:
I cant see anything there needs to be more to the question
Answer:
x=3
Step-by-step explanation:
(x−3)^2=0
Set the x−3 equal to 0.
x−3=0
Add 3 to both sides of the equation.
x=3