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erik [133]
3 years ago
5

20 POINTS AND BRAINLIEST!!! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it po

ssible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

  5

Step-by-step explanation:

The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.

If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.

In the given range, there are 5 such boards:

  4×4, 8×8, 12×12, 16×16, and 20×20

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Hatshy [7]

Answer:

5(2+8)+(12-6/3)2

5(10)+(12/1-6/3)2

50+(36/3-6/3)2

50+(30/3)2

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50+20

70

Step-by-step explanation:

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3 years ago
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Scorpion4ik [409]

Answer:

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8 0
3 years ago
How do I graph this. I need to find the solution
Sergio039 [100]
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4 0
3 years ago
Find LCM of 18,24,56
Paha777 [63]

<u>Answer:</u> 504

<u>Step-by-step explanation: </u>

Least Common Multiple is :

             504

Calculate Least Common Multiple for :

   18, 24 and 56

Factorize of the above numbers :

   18 = 2 • 32

   24 = 23 • 3

   56 = 23 • 7

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime

Factor   Number

18   Number

24   Number

56    L.C.M  

(max)

2 1 3 3 3

3 2 1 0 2

7 0 0 1 1

LCM = 23 • 32 • 7

Least Common Multiple is :

     504

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3 years ago
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sattari [20]

Answer:

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Step-by-step explanation:

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3 years ago
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