Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:

In this question:
We have to derivate V and r implicitly in function of time, so:

The radius of a sphere is increasing at a rate of 3 mm/s.
This means that 
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so
. We have to find
. So


The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Answer:
x=2π/3+π n
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
Answer:
14. 58 degrees
16. 11 degrees
Step-by-step explanation:
14. The sum of all 3 interior angles of a triangle is 180. We know right angles are 90 degrees. So 180 - 90 - 32 = 58 degrees
16. When two parallel lines are cut by a transversal, the corresponding angles have the same measure. So the angle above angle a has the same measure as the 169 degree angle in the same position on the other line. I hope those words make sense. Then angle a and the angle above it (which we know = 169 degrees) combine to make a straight line/straight angle, which = 180 degrees. 180- 169 = 11
Please let me know if you have questions.
Answer:
n = 10
Step-by-step explanation:
you can also use( Math -way) its a calculator for any math problem gives you answers fast :) hope i helped
Answer:
between 8.36 and 8.37
Step-by-step explanation:

Hope this helps