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A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall? Evaluate your answer numerically. (Round the answer to three decimal places.)
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.
The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. Hint: Use the Pythagorean theorem to solve. Then, use any method to solve the quadratic e..
You randomly select one card from a 52 card deck. What is the probability of selecting a black 6 or a red jack?
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area. Note: The answer to thi..
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
What is the slope, or rate of change, of this equation?
What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
Find the total charge on the disk.
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