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BigorU [14]
3 years ago
14

You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board wi

th T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer:

  7

Step-by-step explanation:

The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.

In the given range, there are 7 such boards:

  4×4, 8×8, 12×12, 16×16, 20×20, 24×24, and 28×28

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Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha
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Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

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7 0
3 years ago
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Can anyone help pls two more
Andreas93 [3]

Answer:

I'll explain below, just follow the directions. I can't directly draw it.

Step-by-step explanation:

find the length and the width of a rectangle whose perimeter is 18 ft

2L + 2W = 18

simplify, divide by 2

L + W = 9

L = (9-W)

:

whose area is 20 square feet

L*W = 20

Replace L with (9-W)

 

W(9-W) = 20

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Multiply by -1, easier to factor

W^2 - 9W + 20

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and

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5 0
3 years ago
Please help solve for x
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9514 1404 393

Answer:

  x = 22.5

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally.

  x/30 = 24/32

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5 0
2 years ago
Make b the subject.
sp2606 [1]
First, square both sides. This will cancel out the radical.
a^2 = b \add 6
(a^2 = b + 6)
Then subtract 6 from both sides
b = a^2 - 6
6 0
3 years ago
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