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A fence a feet high is b feet from a tall burning building. Find the length of the shortest ladder that will reach from the ground across the top of the fence to the building.
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Discuss the case when b = 6. Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
Suppose that you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Find the probability that a loaf is smaller than twenty-three ounces?
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
Tom and Ruth show up at the bank and find one teller is helping Alan, the other is helping Betty, and no one else is waiting. What is the expected length of time before Alan, Betty, Tom, and Ruth are all finished.
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps.
a square quilt displayed at the colonial museum measured 425 cm. on each side. how much binding did the quilt maker use to bind the edges of the quilt?
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 34 g of gold and 104 g of lead?
The local weather station (which we'll assume is accurate in giving forecasts) predicts that the chance of rain is 25 percent for the day of the concert. What is Jeff's expected earnings from the concert?
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