a circle has a radius of 4.5 inches find the length of the arc outlined by a central angle that measures 0.6pi radians

8.478in

Step-by-step explanation:

Length of an arc = rtheta

r is the radius of the circle = 4.5in

theta  is the central angle = 0.6pi

Substitute

Length of the arc = 4.5 * 0.6pi

Length of the arc = 4.5 * 0.6 * 3.14

Length of the arc = 8.478inches

Hence the length of the arc is 8.478inches

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

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)