Step-by-step explanation:
The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.
the expression for the volume of a cylinder is
the volume of a cone is a part of the volume of a cylinder
Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3
Answer:
The domain is all real numbers, and the range is all real numbers f(x) such that f(x) ≤ 4. You can check that the vertex is indeed at (1, 4). Since a quadratic function has two mirror image halves, the line of reflection has to be in the middle of two points with the same y value.
Answer:
(square root of 160)in
Step-by-step explanation:
the longest 2 sides are 4 and 12
4^2 + 12^2 = c^2
16+144=c^2
160=c^2
c = square root of 160
Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
