(4 to the 4 power) to the x power = 4 to the 32 power
(4^4)^x = 4^32
4^4x = 4^32
4x = 32
x = 8
Answer
x = 8
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet

Simplifying by 3, both sides

The width of the scale model is 33 inches.
3y+7=31
3y=24 (we subtracted 7 from both sides)
24 divided by 3 is 8
Y=8
The altitude of the smaller triangle will be given as follows:
let the altitude of the smaller triangle be x
scale factor of small to large triangle is 3:5
but
scale factor=(length of small Δ)/(length of large Δ)
plugging in our values we get:
3/5=x/24
solving for x we get:
x=3/5×24
x=14.4 inches
Answer: 14.4 inches