[Maximum mark: 7] John is building furniture using cylindrical logs of length 1.8 m and radius 9.2 cm. A wedge
is cut from one log and the cross-section of this log is illustrated in the following diagram.
1.8 m
9.2 cm
100
(a) Find the length of the wedge arc. ABC.
2
(b) Find the area of the empty sector, OABC
2
(c) Find the volume of each log,
3

For the function, f(x) = -5x 2, find f(-4).

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.

Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?