Answer:
Step-by-step explanation:
for the cylinder
27π = πr²h = πr²(2r) = 2πr³
for the sphere
V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π
Answer:
I believe 7x, 4y, and 1
Step-by-step explanation:
I belive the answer is C.
A function assigns the values. The number of people that were recruited in year 6 is 192.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of people per year is represented by the function
.
In the given function, t represents the number of years.
Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

f(6) = 3(2)⁶
= 3(64)
= 192
Hence, the number of people that were recruited in year 6 is 192.
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Answer:

Step-by-step explanation:
ΔABC and ΔADB are similar (AAA).
Therefore the corresponging sides are in proportion:

Substitute:

<em>cross multiply</em>

Answer:
Approx 61.554 feet
Step-by-step explanation:
Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.
Since the angle of elevation is 72 degrees, the left side of our equation is
.
The right side of the equation is opposite over adjacent.

Set these equal to each other.

Simplify.


x is approximately 61.554.