Ascale model of an office building is 3' x 2' x 5' (length, width, height). if the actual building has a length of 45 feet, what is the volume of the actual building?

Actual volume is:

101250 cubic feet

Step-by-step explanation:

scale model of an office building is 3' x 2' x 5' (length, width, height)

Actual length of building=45 feet

that means 3' is equivalent to 45 feet

i.e. 1' is equivalent to 15 feet

actual length=3×15  feet

actual width=2×15  feet

actual height=5×15  feet

actual volume=length×width×height

                      = 3×15×2×15×5×15

                     = 101250 cubic feet

Hence, actual volume is:

101250 cubic feet

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer by yourhope:

hi! : )

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