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An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart are the cars? Give your answer correct to the nearest foot.
The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.
What is the probability that you obtain a black ball?
For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
Convert these integers from decimal notation to binary notation. Please show each step if possible. I am having a terrible time trying to understand this.
Out of 32 students in a finite math class, 20 are male, 20 are business majors, 22 are first-year students, 13 are male business students, 16 are male first-year students, 14 are first-year students who are business majors, and 10 are male first-y..
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
A city lot has the shape of a right triangle whose hypotenuse is 4 ft longer than one of the other sides. The perimeter of the lot is 360 ft. How long is each side of the lot?
If C is the curve given by r(t) = (1+4sint)i + (1+5sin^2t)j + (1+3sin^3t)k, (0) is less than or equal to (t) is less than or equal to (pi/2) and F is the radial vector field F(x,y,z,) = xi+yj+zk, compute the work done by F on a particle moving alo..
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
Determine the optimal production plan, i.e. , how many cupboards to produce each day in order to minimize the total production cost.
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