If the base of a triangle is shortened by 60 percent, by what percent must the height be increased if the area is to remain the same?

150%

Step-by-step explanation:

The area is half base times height.  We want the product to be the same, so if we scale one factor by f, we have to scale the other factor by 1/f to compensate.

Reducing by 60% is multiplication by f=1-60/100 = 0.4

So we have to multiply the height by 1/0.4=2.5 to compensate.

A factor of 2.5 is an increase of 150%

Check:

(1-60/100)(1+150/100) = 1, good

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

true

step-by-step explanation: