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Two people must mow an area 500 feet long and 400 feet wide. They agree that each will mow half the area. They decided that one will mow around the edge in a path of equal width until half the area is left.
Write an quadratic equation that could be used to find the width x that one should mow around the edge of the area.
your are planning to close off a corner of the first quadrant with a line segment 20 units long running from (a,0) to (b,0). Show that the area of the triangle enclosed by the segment is largest when a=b.
Use a(t) = -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?
A stone dropped in a still pond creates a circular ripple whose radius increases at a constant rate of 3 ft/s. At what rate is the area enclosed by the ripple increasing 8 s after the stone strikes the pond?
If you are fencing in an 800 sq ft rectangular garden and one side cost $6 per foot and the other 3 cost $2 per foot, find the dimensions that minimize cost.
The combined math and verbal SAT scores for female college students are normally distributed with a mean of 998 and a standard deviation of 200.
The Tempcontrol company has a container that reduces the temperature of a liquid from 200 f to 110 f in 25 minutes by maintaining a constant temperature of 60 F.
Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 6 seconds later?
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
The hypotenuse of a right triangle is 13cm. One arm of the right angle is bigger by 7cm than the other leg. Find the length of the arms of the right angle.
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle.
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
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