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Question: A company produces combination locks, the combinations consisting of three different numbers in the range 0-59 (inclusive) which must be dialed in order. How many different combinations are possible?
A farmer has 200 yards of fencing with which to enclose a rectangular field. One side of the field can make use of a fence that already exists. What is the maximum area that can be enclosed?
Find the angle between the two forces. Round to the nearest integer.
a radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23 degrees with the ground?
the volume of a rectangular prism is 208cm3.if the area of one end is 16cm2. what is the length of the prism?
Find the values of the indicated functions. Given cotθ=1/8, find sinθ and cosθ.
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set.
Comparing your answers in a group, do you find different opinions? What might be some of the factors that make frictional unemployment last a longer or shorter period of time?
The length of a rectangular room is 6 feet longer than twice the width. If the room's perimeter is 180 feet, what are the room's dimensions?
Find area of 8 cm of square
Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
Assume that X is normally distributed with a mean μ= $64. Given that P(X ≥$75) = 0.2981, we can calculate that the standard deviation of X is approximately
Suppose that 520 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
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