The volume of a cone is equal to
Volume = pi * r^2 * h / 3
The volume of a cylinder is equal to
Volume = pi * r^2 * h
The cone is filled with 6 cubic inches colored sand.
As you observed, the volume of the cone is 1 / 3 of the volume of the cylinder.
Cone = Cylinder / 3
6 = Cylinder / 3
Cylinder = 18
So the answer is A. 18.
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
<em>Parallel lines have the same slopes</em>
The slope of a line = Δy/Δx, where
Let us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS
Answer:
3 over 2 terminates 3 over 4 terminates
Step-by-step explanation:
3 over 2 = 1.5 and 3 over 4 = .75
Answer:
11.75
Step-by-step explanation:
Interior angles in a quadrilateral sum to 360.
Opposite angles in a parallelogram are the same.
360=118+118+(4x+15)+(4x+15)
= 236 + 8x + 30
= 266 + 8x
8x = 360 - 266 = 94
x=94/8 = 11.75
Answer:
41.04
Step-by-step explanation:
Given
= 456, then
= = = 45.6
= = = 4.56
Thus
- = 45.6 - 4.56 = 41.04