Molly wanted to make note cards by cutting pieces of paper in half. before starting she got five more pieces to use. when she was done she had 30 half-pieces of paper. with how many pieces did she start?

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Use circumcenter theorem to solve for the given values