20 points. Find the area of a right triangle whose hypotenuse is 20 units long and the altitude drawn from the Right angle divides the hypotenuse into 5 units and 15 units.

Step-by-step explanation:

the height of the triangle = √(5×15)= √75

=5√3 units

the base of triangle= 20 units

so, the area = ½×20×5√3= 50√3 units

or 86.60 units

answer is 144

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: