Asphere has a radius of 15 m. if the radius is divided by 5, what is the effect on the surface area?

The surface area is divided by 25.

Step-by-step explanation:

The radius of a sphere is given as 15 m.

To obtain the surface area of the original sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(15)2=(4)(225)π=900π

The surface area of the original sphere is 900π m2.

To find the radius of the new sphere divide the radius of the original sphere by 5.

r=155=3

The radius of the new sphere is 3 m.

To obtain the surface area of the new sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(3)2=(4)(9)π=36π

The surface area is 36π m2.

Notice that 900π=25(36π). The surface area of the second sphere is 52=25 times less than the original surface area. The surface area of a sphere changes by the square of the factor that the radius changes.

Therefore, the surface area is divided by 25.

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.