Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
Answer:

Step-by-step explanation:

utilise the Foil method to expand brackets:
F - mulply the first terms (x and x)
O - multiply the outside terms ( x and -2)
I - multiply the inside terms (5 and x)
L - multiply the last terms (5 and -2)
Then add them as following:

Then combine like terms:

To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?
First, using the information given, fill out the chart with the rest of the data (in the image attached)
Then find the number of students who play a sport and don’t play a musical instrument, which in the chart is 11
Place 11 over the total:
and convert to a percentage:
44%
I'm pretty sure its A but it could be B
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle