Determine the exact value of the 6 trig functions of an angle if a point on the terminal side of the angle is located at (4,-8) ( cosider the point to be on a circle whose center is at the orgin and sketch this on the coordinate plane) make sure you write theta everytime you write a trig funtion.

Aright triangle includes one angle that measures 30º. what is the measure of the third angle? a. 30º b. 90º c. 60º d. 130º

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Given a circle with measures of (c, d, and r) and a circle with measures of (c', d', and r'), find r' if c c' = 0.25 and d = 6.0. a. 6 b. 12 c. 18 d. 24