The base of the triangle decreases by 30% and the height increases by 20%.
what is the overall percentage change to the area of the triangle?
state clearly if this is an increase or a decrease.
the base is 18cm
the height is 5cm

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

Initial triangle:

The base is 18 cm

The height is 5 cm

The area is

New triangle:

The base is

The height is

The area is

Area decreases by

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: