Solve the problem.Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles 72° and 108°. (Refer to the illustration.) A point O is chosen on the diagonal 1 unit from Y. Line segments OX and OZ are drawn to the other vertices. The two resulting tiles are called a kite (figure OXYZ) and a dart (figure OXWZ). Find the area of the kite tile and the dart tile, correct to the nearest 0.01. 

What will be an ideal response?


0.59 sq. units; 0.36 sq. units

Mathematics

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Find the second derivative.y = 5x3 - 7x2 + 5

A. 14x - 30 B. 20x - 14 C. 14x - 20 D. 30x - 14

Mathematics

Multiply.

A.
B. - 
C.
D. - 

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Solve the problem.Estimate the minimum number of subintervals needed to approximate the integral with an error of magnitude less than 10-4  using Simpson's Rule.

A. 1170 B. 36 C. 6 D. 70

Mathematics

Draw the angle having the given radian measure.120° 

A.

B.

Mathematics