<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.
15 + 45
GCF = 15
15/15 = 1
45/15 = 3
(15 * 1) + (15 * 3) =
15(1 + 3) <===
Answer:
The average rate of change is 
Step-by-step explanation:
Given function that shows the population of a culture of cells,
Where, t represents the number of weeks.
Thus, the average rate of change in the population over the interval [0,24],
From equation (1),
Answer:
5abc^2/35a^3c^3
Step-by-step explanation:
To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c
=35a^3c^3/ 7a^2c
Recall that
a^x/a^y = a^x-y
Hence
35a^3c^3/ 7a^2c = 5a^3-2c^3-1
= 5ac^2
Now multiply the numerator and denominator by the result
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)
Recall that
a^x * a^y = a^x+y
Hence
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3
Answer:
A= 12.5 inches²
Step-by-step explanation:
a=1/2bh
a=1/2(5)5
a=1/2(25)
a= 12.5
