Acircle with a radius of 1/2 ft is dilated by a scale factor of 8. which statements about the new circle are true? check all that apply.
a. the length of the new radius will be 4 feet.
b. the length of the new radius will be 32 feet.
c. the new circumference will be 8 times the original circumference.
d. the new circumference will be 64 times the original circumference.
e. the new area will be 8 times the original area.
f. the new area will be 64 times the original area.
g. the new circumference will 8pi be
h. the new area will be 16pi square feet.

The statements A,C,F,G and H are true.

Step-by-step explanation:

It is given that the radius of circle before dilation is and the scale factor is 8.

The circumference of original circle is,

The area of original circle is,

The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle.

Therefore the radius of new circle is 4 ft and the statement A is true.

The circumference of original circle is,

The new circumference will be 8 times the original circumference. The statement C is true.

The area of original circle is,

The new area will be 64 times the original area. Therefore statement F is true.

The new circumference will ,The new area will be   square feet.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²