3 years ago

How many ways can 11 pairs of shoes be arranged?

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

Answer:

5 pairs with 1 extra shoe

Step-by-step explanation:

neonofarm [45]3 years ago

6 0

39916800 because you would do 11! which is 11*10*9*8*7*6*5*4*3*2*1

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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

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Answer:

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Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

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$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

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