Answer:
-2
Step-by-step explanation:

Therefore, the average rate of change over the interval [-4,-1] is -2.
Answer:
r = sqrt( 3V/( pih))
Step-by-step explanation:
V = 1/3 pi r^2 h
Solving for r
Multiply each side by 3
3V = pi r^2h
Divide each side by pi h
3V/( pi h) = r^2
Take the square root of each side
sqrt( 3V/ (pi h) )= sqrt( r^2)
sqrt( 3V/ (pi h)) = r
Answer:
D. The horizontal cross-sections of the prisms at the same height must have the same area.
Step-by-step explanation: I dont know what the guy above is saying but this is the right answer
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC

the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem

solve for BD

substitute the values



therefore
<u>the answer is</u>
the height of the triangle is 