Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=6AC=6 and DC=4,DC=4, what is the length of \overline{BC} BC in simplest radical form? (Note: the figure is not drawn to scale.)

Acollege is planning to construct a rectangular parking lot on land bordered on one side by a highway. the plan is to use 680 feet of fencing to fence off the other three sides. what dimensions should the lot have if the enclosed area is to be a maximum?

One integer is 8 times another. if the product is 72, then find the integers

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?