Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 19 feet 7 feet

The radian measure of the central angle of the given circle is

Step-by-step explanation:

The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below

s =rθ

where s is the length of arc

r is radius of the circle

and θ is the central angle in rad (radian)

From s = rθ, Then

θ = s / r

From the question,

Radius r = 19 feet

and Arc length s = 7 feet

Hence,

θ = s / r becomes

θ = 7 / 19

∴ θ

This means the radian measure of the central angle of the given circle is

24 units

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: