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malfutka [58]
3 years ago
14

Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol

d, black, and green. So that it remains recognizable, he doesn't want to color any two triangles the same color if they share a side. How many different ways can he color the triforce? (Two colorings that differ by rotation are considered distinct.)

Mathematics
2 answers:
denis-greek [22]3 years ago
8 0

Answer:

24

Step-by-step explanation:

We first choose a center triangle. There are three ways to do that. Then, we choose the outer ones, which has 2 colors to choose from. The answer is 3*2*2*2=24

3241004551 [841]3 years ago
5 0

Answer:

12

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

3 × 2 × 2 × 2 = 24

These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

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Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Jo
Alex17521 [72]

The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

<em><u>Solution:</u></em>

Given that,

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So, joseph has went up 10 times and he came down 10 times

We need to find the distance he has traveled vertically in the combined trips

Therefore,

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We know that,

height of 50 stairs = 400 inches

Therefore,

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Convert to yard

1 yard = 36 inch

Therefore,

4000\ inch = \frac{4000}{36}\ yard = 111.111\ yards

Therefore, the distance he has traveled vertically to the nearest yard in combined trip is 111 yards

8 0
3 years ago
a farmer plants corn on 18 acres of a 48 acre field what ratio compare the size of the corn field to the size of a whole field
Usimov [2.4K]

Answer:

The radio would be 3:8 or 3/8

Step-by-step explanation:

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lana66690 [7]

Answer:

First term is 15

Step-by-step explanation:

Given data:

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Now,

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Step-by-step explanation:

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Read 2 more answers
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