If a clock minute hand is 6 inches long, how far will the tip of the minute hand travel when it moves from 12:00 pm to 12:45 pm? Round your answer to the nearest thousandths. Reflect using the definitions of radian measures to calculate the arc length, radi, and angle measurement.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3

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.