Find the perimeter and the area of the following figure. Assume the lightly shaded inner triangle is an equilateral triangle with each side length 1 unit and assume the curves are semicircles that cover half of each side of the triangle. Give the exact answers.
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The figure below is a regular hexagon ABCDEF with center O. (P, Q, R, S, T, and U are the midpoints of the sides.)
A glide reflection sends the point P to the point Q and the point U to the point T. The axis of reflection for this glide reflection is
A. the line through P and Q. B. the line through C and F. C. the line through T and U. D. the line through R and S. E. none of these
Solve using the elimination method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this. x + 3y = -162x + 3y = -14
A. (3, 2) B. (2, -6) C. (-2, -7) D. No solution
Find the value of k so that the equation will have exactly one rational solution.4x2 + 5x + k = 0
A. 
B. 
C. None
D. - 
Two sectors of any country economy are (1) lumber and wood products and (2) paper and allied products. In 1998 the input-output table involving these two sectors was as follows (all figures are in millions of dollars). To Wood PaperFromWood 36,0007,000Paper 10017,000Total Output 120,000120,000?If external demand for lumber and wood products rises by $14,000 million and external demand for paper and allied products rises by $22,000 million, what increase in output of these two sectors is necessary? Round answers to two significant digits. ?
A. increase in output of lumber and wood products is $22,137.71 million and increase in output of paper and allied products is $25,652.56 million B. increase in output of lumber and wood products is $24,137.71 million and increase in output of paper and allied products is $28,652.56 million C. increase in output of lumber and wood products is $21,137.71 million and increase in output of paper and allied products is $25,652.56 million D. increase in output of lumber and wood products is $19,137.71 million and increase in output of paper and allied products is $23,652.56 million E. increase in output of lumber and wood products is $22,137.71 million and increase in output of paper and allied products is $23,652.56 million