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xxTIMURxx [149]
3 years ago
6

What is equal to sin21

Mathematics
1 answer:
cluponka [151]3 years ago
5 0
Sin is opposite/hypotenuse, so find the opposite side to that angle and divide that by the hypotenuse.
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What is the value of E(-1) n (3n+2)?
RoseWind [281]
<h3>Answer:  C) 6</h3>

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Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6

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3 years ago
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The sum of a rational number and a positive integer is rational.
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Answer:

Step-by-step explanation:

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Positive integers are rational numbers. Adding two rational numbers produces another rational number.

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