Decide whether the statement makes sense. Explain your reasoning.My district is shaped like a horseshoe.
What will be an ideal response?
Yes, the statement makes sense. This is possible. As a result of gerrymandering there can be strangely shaped districts. The only requirements are that the districts be contiguous and that all districts within a state have roughly the same population.
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Solve the problem.The volume of a sphere is Find the volume of a bearing if the diameter is
A. 140 mm3 B. 45 mm3 C. 44.6 mm3 D. 780 mm3
Replace the polar equation with an equivalent Cartesian equation.r2 = 30r cos ? - 6r sin ? - 9
A. (x - 15)2 + (y + 3)2 = 225 B. (x - 15)2 + (y + 3)2 = 9 C. 30x - 6y = 9 D. (x + 30)2 + (y - 6)2 = 9
Provide an appropriate response.
Without knowing the formula for determining the area of a triangle, a student investigated and determined a way to find the area. He tried several options, but decided to construct a rectangle by erecting parallel sides at right angles at each end of the general triangle. Examine his drawing. Which conclusion is correct?
A. The constructed rectangle length is the same as the base of the triangle. No conclusion for area value. B. The constructed rectangle has an area twice the area of the triangle. To find the area of a triangle, multiply one-half the base times the height. C. The constructed rectangle is half the area of the triangle. To find the area of a triangle, multiply the base times the height and double. D. The constructed rectangle is the same area as the triangle. To find the area of a triangle, multiply the base times the height.
Solve the problem.Suppose that $11,000 is invested at an interest rate of 5.6% per year, compounded continuously. What is the doubling time?
A. 11.4 yr B. 13.4 yr C. 2 yr D. 12.4 yr