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aalyn [17]
2 years ago
12

In a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round and so on. How many

people are chosen in the 6th round?
Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

729 people chosen

Step-by-step explanation:

4 calculations in head when 3^2 = 9

3 calculations in head when 3^3 = 27

2 calculations in head when 3^4 = 81

1 calculations in head when 3^5 = 243

Answer found 3^6 = 729.

3  = 1st       = 3^1

9  = 2nd    = 3^2         3(3)

27  = 3rd   = 3^3         9(3)

81  = 4th    = 3^4        27(3)

243 = 5th  = 3^5       81(3)

729 = 6th = 3^6        243(3)

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Answer:

b = 24

Step-by-step explanation:

<u>Concepts</u>

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation a^2+b^2=c^2. We can also use this formula to solve for the other two legs in the right triangle.

<u>Application</u>

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

<u>Solution</u>

Step 1: Set up equation and simplify.

  • 10^2+b^2=26^2
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Step 2: Subtract 100 from both sides.

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Step 3: Take square root of both sides.

  • \sqrt{b^2} =\sqrt{576}
  • b=24

Therefore, b = 24.

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