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To measure the height of a mountain a surveyor takes two sightings of the peak at a distance of 900 meters apart on a direct line to the mountain. The first observation results in an angle of elevation of 47 degrees, whereas the second results an angle of elevation of 35 degrees. If the transit is 2 meters high, what is the height h of the mountain?
determine the extreme value of f(x,y) on 0
Two tracking stations are on the equator 131 miles apart. A weather balloon is located on a bearing of N 43°E from the western station and on a bearing of N 15°w from the eastern station. How far is the balloon from the western station? Round to t..
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
Assume 3 men and 3 women are to be assigned at random to six seats in a row at a movie theater. Determine the probability that they will alternate gender.
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Find all the complex root. Leave your answer in polar form with the argument in degrees.
what is the selling price of a watch that costs a jewelry store $70$ the store uses a markup of 38%.
Gregory wants to build a garden in the shape of a isosceles triangle with one of the congruent sides equal to 12 yards. if the area of his garden will be 55 square yards
How many small screen televisions must be produced in a month in order to minimize the company's average cost? Show all steps and justify your answer.
Determine the producers' surplus if the wholesale market price is set at $12/unit. (Round your answer to two decimal places.)
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