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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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Step-by-step explanation:

for the triangle:

1.9x8/2= 7.6mi (this is area)

perimeter=17mi

for the trapezoid:

area= 18.36+13.6=31.96yd

perimeter=24.1yd

4 0
3 years ago
Noah made 12 kg of trail mix .He ate 8,600 kg of it .How many liters does he have left.
NeX [460]

Answer:

72 Newtons

Step-by-step explanation:

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3 years ago
Lance baked a pie. Justin are 2/3 of the pie, and Joey had 1/4 of the pie. How much pie is left?
OleMash [197]

Answer:1/12

Step-by-step explanation:

do 1/4+2/3

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6 0
3 years ago
Dave drives to work each morning at about the same time. his commute time is normally distributed with a mean of 45 minutes and
Paladinen [302]
The normal distribution curve is shown in the diagram below

<span>The percentage of time that his commute time exceeds 61 minutes is equal to the area under the standard normal curve that lies to the RIGHT of X=61

Standardising X=61 to find z-score
</span>z= \frac{61-45}{5} =3.2
<span>
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8 0
3 years ago
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
kozerog [31]

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

<u>Let</u>:

  • senior citizen ticket price = a
  • student ticket price = b

<u>Equations formed</u> :

  1. 9a + 10b = 113
  2. 2a + 10b = 64

<u>Subtract</u> : Equation 1 - Equation 2

  • 9a + 10b - 2a - 10b = 113 - 64
  • 7a = 49
  • a = 7

<u>Finding b</u>

  • 2(7) + 10b = 64
  • 10b = 50
  • b = 5

<u>Solution</u>

  • Price of senior citizen ticket = $7
  • Price of student ticket = $5
8 0
2 years ago
Read 2 more answers
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