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Sladkaya [172]
3 years ago
5

Please help me with this

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
Not 100% sure if this is how you do it but I tried.

Answers:
10mi
approx. 42.98ft.
60yd
approx. 73.31ft.
approx. 0.90ft.
approx. 12.37ft.

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Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these
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Answer:

A

Step-by-step explanation:

Rafael is taking a test that contains a section of 12 true-false questions. At least 6 correct answers of true means that 6 answers are true, 7 are true, 8 are true, 9 are true, 10 are true, 11 are true or 12 are true.

Then

C_6^{12}=\dfrac{12!}{6!(12-6)!}=924,\\ \\C_7^{12}=\dfrac{12!}{7!(12-7)!}=792,\\ \\C_8^{12}=\dfrac{12!}{8!(12-8)!}=495,\\ \\C_9^{12}=\dfrac{12!}{9!(12-9)!}=220,\\ \\C_{10}^{12}=\dfrac{12!}{10!(12-10)!}=66,\\ \\C_{11}^{12}=\dfrac{12!}{11!(12-11)!}=12,\\ \\C_{12}^{12}=\dfrac{12!}{12!(12-12)!}=1.

Hence there are

924+792+495+220+66+12+1=2510

possible groups.

8 0
3 years ago
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Aliun [14]

Answer:

First one.

Step-by-step explanation:

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3 years ago
Answer to 9a is 11.3km
DENIUS [597]

Answer:

11.3 Km

Step-by-step explanation:

Consider the right triangle formed by AB and West.

The acute angle WAB = 270° - 250° = 20°

and West is the adjacent side of the right triangle with AB the hypotenuse

Using the cosine ratio in the right triangle, then

cos20° = \frac{adjacent}{hypotenuse} = \frac{adj}{12}

Multiply both sides by 12

12 × cos20° = adjacent

11.2763.. = adjacent, that is

B is 11.3 Km west of A

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66

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