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A building 190 feet tall casts a 60 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
The slope intercept formula in math form is y=mx+b. The slope in this case is m and determines how much increase there is in y from an increase in x.
What is the cost of renting 2 tuxes. What is the cost of renting 2 tuxes, what is the cost of renting 4000 tuxes, what is the marginal and variable cost.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?
Find the average weekly breakdown cost.
The width of a rectangular photo frame is 8 centimeters less than its length. If the area of this rectangle is 240 square centimeters, find the length and width of the frame.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
Determine the break-even volume of work for a company with a fixed overhead of $63,000, a contribution margin ratio of 11.0%, and a required level of profit of $60,000.
if a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind , find the speed of the plane still in the air.
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