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A man standing on the roof of a building 64.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.7°, while the angle of depression from the roof of his building to the bottom of the building next door is 63.3°. How tall is the building next door? (Round your answer to the nearest tenth.)
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2 months ago
What is mCE?A.9B.9.6C.10D.9.4
General
2 months ago
Solve 7x/3 < 2. Please help !
General
2 months ago
A city in the country determines public servants different than usual. The city asks citizens to rank candidates and the person with the highest point total wins. First place votes get 4 points, second place votes get 2 points and third place votes get 1 point. If John Tyler received 867 first place votes, 301 second place votes and 432 third place votes, how many total points did he obtain? A) 1600 B) 2467 C) 3370 D) 4502
General
2 months ago
The area of a square is 64n^36 units. What is the side length of one side of the square? 8n^6 8n^18 64n^6 64n^18
General
2 months ago
If Sally can make 10 free throws in one minute or 3 three-point baskets in one minute, while Jesse can make 8 free throws in one minute or 1 three-point basket in one minute, ___ has an absolute advantage in free throws and ___ has a comparative advantage in free throws. Sally; Sally Sally; Jesse Jesse; Sally Jesse; Jesse
General
2 months ago
John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in12 hours. If Rick works alone, he can paint the room in 15 hours. Write an equation comparing thegroup rate to the sum of the individual rates. Then find how long it will take Molli to paint the room ifworking alone.a. What is the equation?b. What is the lowest common denominator for the equation in part a?c. Show all work below in solving equation from part a.
General
2 months ago
Need help! What is the area of this triangle? Enter your answer as a decimal in the box round only your final answer to the nearest tenth.
General
2 months ago
Lucky Jack wins the lottery! He deposits $100,000 in an account that earns 4% interest compounded continuously. How much money is in the account at the end of 5 years?A) $120,357 B) $122,140 C) $125,620 D) $225,820
General
2 months ago
Graph the functions on the same coordinate plane.f(x) = x^2 - 4x + 3g(x) = -x^2 + 3What are the solutions to the equation where f(x) = g(x)?Question options:−10123
General
2 months ago
Prove: If n is a positiveinteger and n2 isdivisible by 3, then n is divisible by3.
General
2 months ago
Write an equation of an hyperbola whose vertices are(0,0)and(16,0), and whose foci are (18,0) and (-2,0).
General
2 months ago
Prove: If n is a positive integer andn2 isdivisible by 3, then n is divisible by3.
General
2 months ago
Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.6, and P(A intersectionB) = 0.15. Find the probabilities below. Hint: (A intersectionBc) union (A intersectionB) = A.(a) P(A|Bc)(b) P(B|Ac)
General
2 months ago
In a certain year, the U.S. Senate was made up of 53 Democrats, 45 Republicans, and 2 Independents who caucus with the Democrats. In a survey of the U.S. Senate conducted at that time, every senator was asked whether he or she owned at least one gun. Of the Democrats, 19 declared themselves gun owners; of the Republicans, 21 of them declared themselves gun owners; none of the Independents owned guns. If a senator participating in that survey was picked at random and turned out to be a gun owner, what was the probability that he or she was a Democrat? (Round your answer to four decimal places.)
General
2 months ago
In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0. (In American roulette there are 38 compartments numbered 1 through 36, 0, and 00.) One-half of the numbers 1 through 36 are red, the other half are black, and the number 0 is green. Find the expected value of the winnings on a $7 bet placed on black in European roulette. (Round your answer to three decimal places.)
General
2 months ago
Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x - O represent 1982 Find the equation giving yearly alesSand then use it to predict the yearly sales in 1990.
General
2 months ago
A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2g in 500mL D5W. How many mg/minute is the patient receiving?
General
2 months ago
Let S = {a, b, c). Find the following:a) the number of reflexive relations on Sb)the number of reflexive and symmetric relations on S
General
2 months ago
Northwest Molded molds plastic handles with a variable cost of $1.00 per handle. The fixed cost to run the molding machine is $2560 per week. If the company sells the handles for $3.00 each, how many handles must be molded weekly to break even? What is the profit if 1500 handles are produced and sold?
General
2 months ago
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