The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $49,
balcony tickets are $31, and mezzanine tickets are $30. One particular night, sales totaled $83,168. There were 101 more
main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 198 more than 2
times the number of mezzanine tickets sold. How many of each type of ticket were sold?

Angles r and s are complementary. the measure of angle r is 31 degrees. which equation can be used to find angle s?

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?