Diego is planning to make a wooden cookbook stand for his mom. The depth of the stand will be 10 inches and will hold a cookbook at a 40° angle, as shown in the following design.

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?

Atruck can be rented from company a $50 a day plus $0.60 per mile. company b charges $20 a day plus $0.80 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4