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 300 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?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Perry angelo is planning to open a restaurant. he has the resources to produce and sell either hamburgers or pizzas. so he does some research and finds that the new location has a good demand for pizza. he hires cooks, wait staff, and an accounts person for his new pizzeria. he also arranges for materials such as pizza ingredients and pizza boxes. determine three factors affecting perry's cost of making pizza. write down the name of the factors and their instances in this scenario.

Danny can read 4 pages in 12 minutes. how many pages can he read in 1 mintute?