Asquare garden has an area of 75 ft squared. a. find the length of each side in simplest radical form. b. calculate the length of each side to the nearest tenth of a foot.

5√3 ft = 8.8 ft (to the nearest tenth foot)

Step-by-step explanation:

The formula for the area of a square is A = s², where s is the length of any one of the sides of the square.

If A = 75 ft² = s²2, then the side length s is s = √75 ft.

Simplified, that comes out to s = (√25)(√3) = 5√3 ft.

To the nearest tenth of a foot, that comes out to s = 5(1.732) = 8.7 ft.

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