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 largest open interval where the function is changing as requested.Decreasing y =  + 7

A. (0, ?) B. (-7, 0) C. (7, ?) D. (-7, 7)

Mathematics

Factor the trinomial, if possible.3x2 + 4xy + y2

A. (3x - y)(x - y) B. (3x + y)(x + y) C. prime D. (3x + y)(x + 3y)

Mathematics

The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist.a. f(x)b. f(3)

A. a. f(x) = 3
b. f(3) does not exist
B. a. f(x) = 5
b. f(3) = 5
C. a. f(x) does not exist
b. f(3) = 5
D. a. f(x) = 3
b. f(3) = 3

Mathematics

Collect like terms.-5x4 + 2x4

A. -3x8 B. -12x C. Can't be simplified D. -3x4

Mathematics