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The hypotenuse of a 30°-60°-90° triangle is shown below. Find the length of each leg. (Round your approximation of radical expression to the nearest hundredth).
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The perimeter of a standard high school basketball court is 268ft. the length is 34ft greater than the width. Find the length and the width of the court.
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
The y-intercept of the red line above is 14. If the area of the triangle formed by the red line with the x-axis and y-axis is 294, find the slope of the red line.
The upper right-hand corner of a piece of paper, 15 in. by 6 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
After getting a 15% discount on the price of a new Chrysler Sebring convertible, Helen Paid $27,000. What was the original price of the convertible to the nearest dollar?
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks AT ALL TIMES directly at the dog with a speed of s>1 miles per hour.
what were the original dimensions of the piece of the piece of metal.
you collect $33000 after taxes and decide to invest it in two funds that return 4% and 2.25% for a total of 970 after the first year. How much did you invest in each?
What is the trial form for the particular solution of y''+9y=2sin(3x)-1? State the trial form only. you don't need to solve it.
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