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iren [92.7K]
3 years ago
13

Fifteen bicyclists entered a race. In how many different orders can the top five finish so that awards can be given?

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

They can finish the race in 15 x 14 x 13 x 12 x 11 = 360360 order.

Step-by-step explanation:

There are 15 bicyclists in the race. The first position would come from the first bicyclist to the 15th. Meaning the first position can be occupied by 15 individuals. The second position can only be occupied by 14 individuals since one person is already first. Same way the third, fourth and fifth positions can be occupied by 13, 12 and 11 individuals respectively.

Therefore, they can finish the race in

15 x 14 x 13 x 12 x 11 = 360360 order.

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What is 1/4 X 5/16 equal
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What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.
kari74 [83]

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

Step-by-step explanation:

Given

  • L(3,4)
  • M(1,-2)

Determining the length of LM

  • (x₁, y₁) = (3, 4)
  • (x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

   =\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}

   =\sqrt{2^2+6^2}

   =\sqrt{4+36}

   =\sqrt{40}

   =\sqrt{4\times 10}

   =\sqrt{2^2\times \:10}

   =2\sqrt{10}

   =6.3

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

d = 6.3

Hence, option D is correct.

5 0
3 years ago
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