If the scale factor of two similar cylinders is 4:7, what is the volume ratio?

     64 : 343

Step-by-step explanation:

When working with scale factors

Lengths are related by the scale factor

perimeters are related by the scale factor

areas are related by the scale factor squared

volumes are related by the scale factor cubed

The scale factor is 4:7

The volumes are related by 4^3 : 7^3

                                             64 : 343

64:343

Step-by-step explanation:

Ratio of Volumes = (Ratio of sides)³

= (4/7)³

= 64/343

-18 degrees is the answer : )

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