Answer:
The volume is decreasing at a rate of 48 cubic meters per year.
Step-by-step explanation:
We are given the following information in the question:
A pyramid has height h and a square base with side x.
The height of the square pyramid remains constant.
The side of the base is decreasing by 0.004 meter/yr
We have to find the rate at which the volume is decreasing when the height is 120 meters and the width is 150 meters.
The volume is decreasing at a rate of 48 cubic meters per year.
Use the FOIL method to find the trinomial.
FOIL - First, Outer, Inner, Last
(Bolded terms are the terms being multiplied.)
First
(
4x + 5)(
9x + 9)
Outer
(
4x + 5)(9x +
9)
Inner
(4x
+
5)(
9x + 9)
Last
(4x
+
5)(9x +
9)
Add all of these results together:
Simplify by combining like terms.
The answer is <span>
D. 36x^2 + 81x + 45.</span>
Answer:
The value of
Step-by-step explanation:
We have
Now we need to find
Square roots of 17^2-10^2
=13.74772708
= 13.7 the nearest tenth
Imagine a big solid and you cut out that one piece
the big solid is 9 by 12 by 3+4 (LWH)
so the volume is 9*12*7=756 cubic cm
the small slolid is 6 by 4 by 12 or 288 cubic cm
big-small=756-288=468 cubic cm
the volume is 468 cubic cm