Two boats start their journey from the same point a and travel along directions ac and ad, as shown below:

abc is a right triangle with measure of angle abc equal to 90 degrees and length of ab equal to 200 feet. there is a point c on bd such that measure of angle acb is 60 degrees and measure of angle adc is 30 degrees.

what is the distance, cd, between the boats?

230.9 ft
284.3 ft
115.5 ft
173.2 ft

Arrange these numbers from least to greatest 3/5 5/7 2/9

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Adecorative window is made up of a rectangle with semicircles at either end. the ratio of ad to ab is 3: 2 and ab is 30 inches. what is the ratio of the area of the rectangle to the combined area of the semicircles? possible answers: a. 2: 3 b. 3: 2 c. 6: π d. 9: π e. 30: π