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Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over 99,000 pounds each. Lifting a single stone required more than five hundred people, who pulled the stone up a ramp inclined at an angle of θ = 10° with the ground. What is the vertical height h of the stone after it is moved a distance up the (slanted) ramp a length of 54 feet?
Enter a symbolic answer (or round to the nearest tenth, if a calculator is allowed). To present an angle in degrees, type deg or use the Calcpad degree symbol. For example, sin(30deg).
h= ft
The two cars combined drive a total of 1775 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Among 250 latex gloves, 7 percent leaked viruses. Using 95 percent confidence interval tests a claim that Viny gloves have a larger virus leak rate than latex gloves. Basically you need to answer the following questions.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Probability : Independent Dual Probability, A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
Factor the expression completely
What is the mass of the water in a hemispherical tank with a radius of 5 meters? Illustrate your calculations with a plot of the tank. (Hint: assume hemisphere is lower hemisphere of sphere of radius 5 centered at the origin in spherical coordinat..
the vertices of the trapezoid are the origin along with A(4m,4n),B(4q,4n) and c(4P,0) find the midpoint of the midsegment of the trapezoid.
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
Print out the code itself and a graph of the solution of your code in [0; 10]. What is the maximum error of the numerical solution and the analytical solution in this interval?
A tree stands on a hillside of slope 28 degrees from the horizontal. From a point 75 feet down the hill, the angle of elevation to the top of the tree is 45 degrees. Find the height of the tree.
Adams High School has 171 freshman, 189 sophomores, 212 juniors, and 238 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
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