What is the value of r? Enter your answer in the box.

Round your final answer to the nearest whole number.

r =
units
A right triangle has a vertical leg labeled 4 with its opposite angle labeled 53.1 degrees. The hypotenuse is labeled r.

r = 5.0

Step-by-step explanation:

                   4

The ratio is equal to the sine of 53.1 degrees, or to 0.78.  

                    r

Solving this for r, we get

r = 4/0.78, or r = 5.0

sine

step-by-step explanation:

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)