Howard is designing a chair swing ride. the swing ropes are 444 meters long, and in full swing they tilt in an angle of 23^\circ23 ∘ 23, degrees. howard wants the chairs to be 3.53.53, point, 5 meters above the ground in full swing. how tall should the pole of the swing ride be? round your final answer to the nearest hundredth.

For the equations below which statement is true ?

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

How can constraints be used to model a real-world situation?