631,183 the 1 in the thousand place is the value of the 1 in the hundreds place

Solve the triangle. a = 21°, c = 105°, c = 5

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

If you draw a card with a value of three or less from a standard deck of cards, i will pay you $43. if not, you pay me $11. (aces are considered the highest card in the deck.) step 1 of 2 : find the expected value of the proposition. round your answer to two decimal places. losses must be expressed as negative values.