Awet bicycle tire leaves a trace of water on the floor. the tire has a radius of 30 cm, and the bicycle wheel makes 3 full rotations before stopping. how long is the trace of water left on the floor?

565.2cm

Step-by-step explanation:

Since we need to find out the circumference because the radius of the tire is 30cm. We take 30cm times 2. Which we get 60cm, then we take 60cm times 3.14 to get the circumference of 188.4cm. Then we take 188.4cm times 3 full rotations to get 565.2cm.

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:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: