Apainter leans a 12 ft ladder against a building. the base of the ladder is 5 ft from the building. to the nearest foot, how high on the building does the ladder reach?

3 ft

Step-by-step explanation:

Ladder = 12 ft

Distance between base of the ladder and the building = 5 ft

a² + b² = c²

a² + 5² = 12²

a² = 12² - 5²

a² = 144 - 25

a² = 119

a = √119

a = 3.3 ft

a = 3 ft (nearest ft)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have