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Question: On a sunny day, a building and its shadow form the sides of a right triangle.
If the hypotenuse is 31 m long and the shadow is 20 m, how tall is the building? (Round to the nearest tenth.)
A) 19.2 m
B) 11.0 m
C) 38.9 m
D) 36.9 m
E) none of the above
the lengths of the sides of a triangle are 5, 6, and 7. if the perimeter of a similar triangle is 36, what is the length of the shortest side of the similar triangle?
A copy machine costs $45,000 when new and has accumulated depreciation of $44,000. Suppose Print and Photo Center junks this machine, receiving nothing. What is the result of the disposal transaction?
ball is thrown downward at a speed of 40 meters per second (v0) from an altitude of 781 meters. Approximately how long does it take to reach the ground?
A cylindrical can is to hold 4pi cubic units of juice. The cost per square unit of constructing the metal top and bottom is twice the cost of constructing the cardboard side. What are the dimensions of the least expensive can?
A rabbit and a turtle have a foot race. The Turtle receives a 100 foot head start. The rabbit is tens times as fast as the turtle. How far must the rabbit run to catch the turtle?
Let f be a differentiable function on an interval of the form (a, +∞). Prove that if there is a number r not equal to 0 such that limx→∞(rf′(x) + f(x)) = L is finite, then limx→∞ f′(x) = 0 and limx→∞ f(x) = L. Hint: apply L'Hˆopital's Rule to [e..
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?
Evaluate the exponential equation for three positive valus of x, three negative values of x, and x = 0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph. State if the equation of the line is asymptotic.
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
Complex problems
What type of annuity is a layaway plan?
the equations s=5000+200x and d= 95---100x express the supply s and the demand d, respectively. the equillibrium is s=d. what is the equillibrium price?
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