Solve the problem.The dimensions of the triangular sail of a wind surfing board are shown in the figure below. Find the area of the sail and write it in simplified form. [The area of a triangle is one-half its base times its height.]

A. 18 square feet
B.  square feet
C. 36 square feet
D. 8 square feet


Answer: A

Mathematics

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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

A.  =  =  
B.  =  = 
C.  =  =  

Mathematics

Fill in the blank. Then write an addition problem with addends and the sum that describes the situation.A gain of $4 followed by a loss of $9 results in a .

A. loss of $13; -4 + (-9) = -13 B. loss of $5; 4 + (-9) = -5 C. gain of $13; 4 + 9 = 13 D. gain of $5; -4 + 9 = 5

Mathematics

Factor completely.81p4 + 72p3 + 16p2

A. p2(81p + 1)(p + 16) B. p2(9p + 4)2 C. p2(9p + 4)(9p - 4) D. p2(9p - 4)2

Mathematics

A regular octagon has a side of 12 cm and the perpendicular distance from the center to one of the sides is 14.5 cm. The area of the octagon is

(a) 522 sq. cm (b) 696 sq. cm (c) 1044 sq. cm (d) 1392 sq. cm (e) 87 sq. cm

Mathematics