2. The diameter is 24 cm. Find the length of CD to the nearest tenth

(Reminder: the DIAMETER is given.)

Length of arc = 12.6 cm

Step-by-step explanation:

CD is an arc. We would apply the formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter = 24 cm

Radius, r = diameter/2 = 24/2

Radius = 12 cm

θ = 60 degrees

Therefore,

Length of arc = 60/360 × 2 × 3.14 × 12

Length of arc = 12.6 cm rounded up to the nearest tenth.

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)