Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
4x/9 = 5/27
Multiply both sides by 9 to give
4x = 45/27
Now multiply both sides by 27 to give
108x = 45
Now divide both sides by 108 to give
x = 45/108
Reduce the fraction to give
x = 5/12
Answer:
Yes
Step-by-step explanation:Because it has 6 sides
