Given a radius 
, the volume of a sphere is given by
We can solve this formula for the radius, given the volume:
![r=\sqrt[3]{\dfrac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B4%5Cpi%7D%7D)
We can plug our value for the volume to get the radius:
![r=\sqrt[3]{\dfrac{3\cdot 12\pi}{4\pi}}=\sqrt[3]{9}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3%5Ccdot%2012%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%5B3%5D%7B9%7D)
Answer:
4 Hours
Step-by-step explanation:
hope that helped
Answer:
The fraction of horses that are Morgan's=17/20
Step-by-step explanation:
Step 1: Determine fraction for each breed
Arabians=1/4
Thoroughbreds=2/5
Morgan's=unknown
Step 2: Express each breed as a fraction of the total
Number of Arabians=fraction of Arabians×total number of horses
Let total number of horses be x
Arabians=(1/4)×x=1/4 x
Thoroughbreds=(2/5)×x=2/5 x
Morgans's=m
Step 3: Calculate fraction of Morgans
Total number of horses=Arabians+Thoroughbreds+Morgans
x=(1/4)x+(2/5)x+m
solve for m;
m=x-(1/4)x-(2/5)x
m=x-3/20x
m=17/20 x
The fraction of horses that are Morgan's=17/20
Answer:
p = 3 dollars d = 4 dollars
Step-by-step explanation:
2 p + 1 d = 10 given
4 p + 1 d = 16 given Subtract second equation from first to get:
-2p = - 6
p = 3 dollars then use this value in either of the equations to find 'd'
2(3) + d = 10
d = 4
Answer:
D
Step-by-step explanation:
Using the Altitude- on- hypotenuse theorem
DF² = CD × DE , substitute values
12² = 6 DE
144 = 6 DE ( divide both sides by 6 )
24 = DE → D
