Answer:
x=6
Step-by-step explanation:
Solve for x:
5 (2 x - 8) - 15 = 5
5 (2 x - 8) = 10 x - 40:
10 x - 40 - 15 = 5
Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):
10 x + (-40 - 15) = 5
-40 - 15 = -55:
10 x + -55 = 5
Add 55 to both sides:
10 x + (55 - 55) = 55 + 5
55 - 55 = 0:
10 x = 5 + 55
5 + 55 = 60:
10 x = 60
Divide both sides of 10 x = 60 by 10:
(10 x)/10 = 60/10
10/10 = 1:
x = 60/10
The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:
Answer: |
| x = 6
Answer:
D). 659.73 in^3.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h
The volume of the large cone = 1/3 π 6^2 * 20 in^3.
The plane passes through the midpoint of the cone so the height of the small cone = 10 in
and the radius of this cone is 1/2 * 6 = 3 in.
The volume of the small cone = 1/3 π 3^2 * 10 in^3.
So the volume of the blue section
= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10
= 659.73 in^3.
Whatever the value of s is will be multiplied by 8 and the value of b will be multiplied by 2.