Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard = 
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
∛V / (4/3π) = r
Step-by-step explanation:
V = 4/3πr³
Try to isolate r if you want to solve for it.
So divide everything that's not r from the right side in order to move it to the left side of the equation.
V / (4/3π) = r³
Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.
∛(V/(4/3π)) = r
Answer:
Step-by-step explanation:
12 - 12x = -6x + 48
Add 12x to both sides. That eliminates the x term on the left side.
12 = 6x + 48
Subtract 48 from both sides. That eliminates the constant term on the right side.
-36 = 6x
x = -6
Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4
