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3 years ago

Which of the following is an arithmetic sequence? 00.2.4.6. 01.24.8. 0 1.4.8. 13....

Mathematics

1 answer:

Ahat [919]3 years ago

6 0

Answer:

(A.) 00,2,4,6

Step-by-step explanation:

00+2=2

2+2=4

2+4=6

Each number is added by the same number, 2, so this is the arithmetic sequence.

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3 years ago

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

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Answer:

The probability that the month starts with the letter J or the letter M is 41.66%.

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Prove that sin20sin40sin60sin80=3/16

never [62]

We'll use the following properties of sine and cosine to prove this:

$sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))$

$cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))$

$cos(180+a) = cos(180-a)$

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 - cos160 - cos120 + cos200) =

1/8(1 - cos160 - cos120 + cos160) =

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