Find the volume of the triangular prism described below.
The base is a 45°-45°-90° triangle with a leg of 4 in. The height is 1.7 in.

A 45-45-90 triangle has two legs that are the same length. So both legs are 4 in.

Area of the triangle = 1/2 x 4x4 = 8 square in.

Volume = 8 x 1.7 = 13.6 cubic inches.

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