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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Determine the vertex, focus, and directrix of the parabola and sketch its graph.(y - 3)2 = 4(x - 2)

A. vertex: (3, 2)  
focus: (4, 2)  
directrix: x = 2

B. vertex: (-2, -3)  
focus: (-1, -3)  
directrix: x = -3

C. vertex: (2, 3)  
focus: (3, 3)  
directrix: x = 1

D. vertex: (2, 3)  
focus: (1, 3)  
directrix: x = 3

Mathematics

Find the exact value of y, or state that y is undefined.y = sec-1 (-1)

A. ?
B. 2?
C.
D. 0

Mathematics

Find the amount of each payment needed to accumulate the indicated amount in a sinking fund. Round to the nearest cent.$8,900, money earns 12% compounded monthly, 3 years

A. $206.57 B. $18.33 C. $2,637.52 D. $2,937.18

Mathematics

Evaluate the exponential expression.-103

A. -1000 B. 1000 C. 30 D. -30

Mathematics