ounces A leaf us very light and ounces are the smallest measurement listed.
We know that
[area of a circle]=pi*r²
r=5 in
[area of a circle]=pi*5²---------> 78.5 in²
if 2pi radians ( full circle) has an area of-------------------> 78.5 in²
1.5 radians------------------------------------------> X
X=1.5*78.5/2pi---------> 18.75 in²
the answer is
<span>the area of the sector formed by a central angle is </span>18.75 in²
He has 29/36 of his copies left
convert 7/12 to 21/36 and convert 2/9 to 8/36 so you get like denominators, then add the two together and get 29/36
![nP3=\frac{n!}{(n-3)!}](https://tex.z-dn.net/?f=nP3%3D%5Cfrac%7Bn%21%7D%7B%28n-3%29%21%7D)
![17(nP2)=17(\frac{n!}{(n-2)!})](https://tex.z-dn.net/?f=17%28nP2%29%3D17%28%5Cfrac%7Bn%21%7D%7B%28n-2%29%21%7D%29)
Therefore we can write the equation as follows:
![\frac{n!}{(n-3)!}=17(\frac{n!}{(n-2)!})](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7B%28n-3%29%21%7D%3D17%28%5Cfrac%7Bn%21%7D%7B%28n-2%29%21%7D%29)
Dividing both sides by n!, we get:
![\frac{1}{(n-3)!}=\frac{17}{(n-2)!}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28n-3%29%21%7D%3D%5Cfrac%7B17%7D%7B%28n-2%29%21%7D)
![\frac{(n-2)!}{(n-3)!}=17](https://tex.z-dn.net/?f=%5Cfrac%7B%28n-2%29%21%7D%7B%28n-3%29%21%7D%3D17)
Therefore n - 2 = 17 and n = 19
The answer is: n = 19
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243