The formula for the volume, v, of a cone having the radius, r, and the height is shown below v=1/2 πr2h write the formula to calculate the height, h

Step-by-step explanation:

v = 1/2 πr²h

v / 1/2 πr² = 1/2 πr²h / 1/2 πr² (Divide both sides of the equation by 1/2 πr² to find the formula for height (h).

v / 1/2 πr² = h or h = 2v / πr²

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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: