Acircle with a radius of 1/2ft is dilated by a scale factor of 8. which statements about the new circle are true? check all that
apply.

the length of the new radius will be 4 feet.

the length of the new radius will be 32 feet.

the new circumference will be 8 times the original circumference

the new circumference will be 64 times the original circumference

the new area will be 8 times the original area.

the new area will be 64 times the original area.

the new circumference will be 8x feet

the new area will be 16 square feet

The length of the new radius will be 4 feet

PROOF: (1/2)(8)=4 ft

.

The new circumference will be 8 times the original circumference

PROOF:

(1) Original

=pi*(1/2)

=1/2pi ft.

(2) New One.

=pi(4)

=4pi ft.

So, 4pi/(1/2)pi=8

.

The new area will be 64 times the original area

PROOF: 8^2=64

.

The new area will be 16π square feet

PROOF:

r=4ft

a=pi(4)^2

a=16pi ft^2

.

.

Hope This Helps <3

what do you mean by fog

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752