What is the length of arc s shown below?

s = 2

Step-by-step explanation:

The length of the arc s is calculated using

s = circumference × fraction of circle

  = 2πr × ( cancel 2π )

  = 5 × 0.4 = 2

Length of arc S = 2 units

Step-by-step explanation:

Circumference of the circle = 2πr

Here r = radius of the circle

Now length of the intercepted arc by the sector will be

S = Length of Circumference ×

S =  [Angle inscribed by the sector is 0.4 radians]

  = 0.4r

  = 5 × 0.4

  = 2.0 units

Therefore, length of arc S is 2 units.

this doesn't make sense lol

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: