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A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the pole.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
Use Cramer's rule to find the market equilibrium prices for each of these goods. Please show step by step.
what is the distance between the origin and the point (5,12)? if necessary, round your answers to two decimal places.
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
The John Hancock Center in Chicago has a rectangular base. The length of the base measures 65 feet less than twice the width. The perimeter of this base is 860 feet. What are the dimensions of the base?
Once you have the graph of a line, how can you find its slope? Does it matter which points you choose to find the slope? Does the slope vary depending on your choice of points?
A rancher has 300 feet of fence to enclose 2 adjacent pastures.
Calculate the standard deviation
The circumference of a sphere was measured to be 80.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
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