Austin is building a miniatuer replica of the empire state building. The actual empire state building is 1,423 feet tall and 6,000 feet wide .If astin's replica has a width of 60 centimeters, what is the height of his empire state building replica rounded to the nearest centimeter?

14cm

Step-by-step explanation:

From the question, we are informed that Austin is building a miniatuer replica of the empire state building and that the actual empire state building is 1,423 feet tall and 6,000 feet wide

We are further told that Austin's replica has a width of 60 centimeters. This implies that the scale of 1:100 was used where 1cm represents 100 feet

= 60:6000

= 1:100

Therefore, the height of his empire state building replica rounded to the nearest centimeter will be:

= 1423/100

= 14.23cm

= 14cm approximately

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

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)