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OverLord2011 [107]

3 years ago

11

Aldo has been given a list of 3 bands and asked to place a vote. His vote must have the names of his favorite and second favorit

e bands from the list. How many different votes are possible?

1 answer:

aev [14]3 years ago

8 0

Answer:

6

Step-by-step explanation:

1) A B C

2) B A C

3) C A B

4) A C B

5) B C A

6) C B A

(I probably understood it incorrectly)

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A student was given two data sets, Set A and Set B. Which of the

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a regular triangle ABC with side 1, two squares MNKL, RKPT are drawn such that points M, L, R are on the side AC (the order o

Orlov [11]

Answer:

MN = (21 -6√3)/37 ≈ 0.286694
RK = (14√3 -12)/37 ≈ 0.331046

Step-by-step explanation:

In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...

AM = LR = x/√3

RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x

Then the sum of lengths along AC is ...

AC = AM +ML +LR +RC

1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)

Then the value of x is ...

$x=\dfrac{3\sqrt{3}}{7\sqrt{3}+6}=\dfrac{3\sqrt{3}(7\sqrt{3}-6)}{(7\sqrt{3})^2-6^2}=\dfrac{3(21-6\sqrt{3})}{3(49-12)}\\\\\boxed{MN=\dfrac{21-6\sqrt{3}}{37}}\\\\RK=\dfrac{2\sqrt{3}}{3}MN\\\\\boxed{RK=\dfrac{14\sqrt{3}-12}{37}}$

8 0

3 years ago