Alarge dump truck will empty its full load of stone onto a small plot of land for storage. the rock forms a cone that is 9 feet tall. the truck holds 144 cubic feet of stone. what is the area of the circular base of the pile of stones?

48 square feet.

Step-by-step explanation:

A large dump truck will empty its full load of stone .

Those rock forms a cone.

Height of cone = 9 feet

The truck holds 144 cubic feet of stone.

So, amount of stone truck holds = Volume of cone

Formula of volume of cone =

Where

So, volume of cone formed  =

Since we know that amount of stone truck holds = Volume of cone formed

Thus the area of the circular base is 48 square feet.

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