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Two fire towers are 30km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and b are E 14 N and W 34 N, respectively. Find the distance d of the fire from the line segment AB.
A 410-ft weather tower used to measure wind speed has a guy wire attached to it 175 ft above the ground. The angle between the wire and the vertical tower 57degrees. Determine the lengh of the guywire.
Mr. Smith invested $48,000, part at 6% interest and the remainder at 10%. He received $4000 in interest after one year. How much was invested at each rate?
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
A random sample of 33 adult men had a mean weight of 182.5 pounds and a standard deviation of 22.5 pounds. Find a 99% confidence interval for the mean weight of adult men.
a ball is thrown vertically upward with an initial velocity of 53 feet per second. in the first 1.5 seconds, it travels 42 feet.
find the dimensions of the study area that will minimize the total length of the fence. how much fencing will be required?
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
You toss two dice - probability, You toss two dice and compute the "difference," which you will define to be the larger top number minus the smaller top number if the numbers are different, and 0 if the numbers are the same.
what is the distance between the origin and the point (5,-19)? if necessary, round your answers to two decimal places.
Test car A is traveling at a rate of 146 ft/sec . Test car B is traveling at a rate of 93 mi/h. Which car is moving at the faster rate?
What course (bearing) should the pilot take in order to result in a course that is due west? what will be the ground speed of the plane?
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