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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Evaluate the integral.

A. -67 B. 13 C. 91 D. 1

Mathematics

Provide an appropriate response.Iff(x) = 1,f(x) = -1, and f(x) is an even function, which of the following statements are true? I.  f(x) = -1 II.  f(x) = -1 III. f(x) does not exist.

A. II and III only B. I and II only C. I, II, and III D. I and III only

Mathematics

Subtract.(10x2 + 8) - (-x3 + 7x2 - 9)

A. 11x3 + 15x2 + 9 B. x3 + 17x2 - 1 C. 11x3 + 7x2 + 17 D. x3 + 3x2 + 17

Mathematics

Provide an appropriate response.Write in exponential notation 64.

A. 82 B. 622 C. 40962 D. 640

Mathematics