Answer:
The radius of the balloon is increasing at a rate of 4 feet per minute.
Step-by-step explanation:
We are given the following in the question:

Volume of sphere is given by

where r is the radius of the balloon.
Instant radius, r = 2 ft
Rate of change of volume =

Putting values, we get,

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.
Answer:
x = 117 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)
Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)
Hence the value of x = 117 degrees (vertically opposite to each other on line u)
Answer:
The solutions are:

Step-by-step explanation:
Considering the expression
Solving the expression












So,

Therefore, the solutions are:

Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
Factors of 15 . . . 1, 3, 5, 15
Factors of 30 . . . 1, 2, 3, 5, 6, 10, 15, 30
Common factors (numbers on both lists) . . . 1, 3, 5, 15
Greatest common factor (biggest number on both lists) . . . 15