Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

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?

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. ​surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 ​point: left parenthesis 1 comma 3 comma five halves right parenthesis

Two planes leave an airport at the same​ time, one flying​ east, the other flying west. the eastbound plane travels 20 mph slower. they are 1600 mi apart after 2 hr. find the speed of each plane.