At an angle of elevation 61degrees captain on a ship noticed a person on the top of a cliff waiving towards the ship. To see him better, captain moved his ship 92m closer to the cliff. The angle of elevation at that moment was 69degrees. Determine the height of the cliff to the nearest tenth of a meter.

Solve 2^x=32 and rewrite this equation in a logarithmic form

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

An account with a $250 balance accrues 2% annually. if no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282? it's e2020 ni️️as