Answer: Length ≥ 6 feet
Step-by-step explanation:
The area of a rectangle= length × width
In this case, the width is 4 feet and the area of the stage must be at most 24 square feet.
The inequality that describes the possible lengths (in feet) of the stage would be:
Length × Width ≥ 24
Length × 4 ≥ 24
Length ≥ 24/4
Length ≥ 6
Therefore, the length must be at most 6 feet.
Answer:
The volume of the sphere is 
Step-by-step explanation:
we know that
The volume of cylinder is equal to
we have
substitute
simplify
Remember that
A sphere and a cylinder have the same radius and height
so
The height of cylinder is equal to the diameter of sphere
h=2r
substitute
-----> equation A
The volume of the sphere is equal to
substitute equation A in the formula of the volume of sphere
Given system of equations:
2y=4x+20 Eq 1
4y=6x+24 Eq 2
Divide both sides of equation 1 by 2.
y=2x+10
Substitute value of y in equation 2.
4(2x+10)=6x+24
8x+40=6x+24
2x+40=24
2x=-16
x=-8
Put value of x in y=2x+10
y=2(-8) + 10
y=-16+10
y=-6
Answer : (-8,-6)
Answer:
1,100,000
Step-by-step explanation:
20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000
