Which could be the area of one face of the rectangular prism? Select three options.
6 cm
4 cm
11 cm
[Not drawn to scale]
20 cm
24 cm²
44 cm²
48 cm²
68 cm²

44cm^2

Step-by-step explanation:

We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.

We choose the longer length and plug in and choose one of the two calculation answers.

11 x 4 = 44

11 x 6 = 66

We see the answer is 44cm^2, so we choose this one.

its an acute right triangle

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