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3 years ago

Does -cos(120)=cos(-120)?

Mathematics

2 answers:

Step2247 [10]3 years ago

6 0

No, -Cos(120) is equal to 5, while Cos(-120) is equal to -5.

Hopefully this helps!

larisa [96]3 years ago

3 0

No because 120 is positive and -120 is a negative

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Verify x + 1⁄2 is a factor of P(x)= x2 + x -2

kumpel [21]

Answer:

Put p(x)=0.

Step-by-step explanation:

2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.

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2 years ago

Find the area of the triangle below. Be sure to include the correct unit in your answer.

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2 years ago

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3 years ago

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Brut [27]

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2 years ago

2. Determine the sum of the first 400 ODD numbers.

il63 [147K]

Odd numbers take the form $2n-1$ , where $n\ge1$ is an integer. When $n=400$ , the last odd number would be 799. So we're adding

$S=1+3+5+\cdots+795+797+799$

By reversing the order of terms, we have

$S=799+797+795+\cdots+5+3+1$

and we can pair up terms in both sums at the same position to write

$2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)$

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

$2S=400\cdot800\implies S=160,000$

###

We could also make use of the formulas,

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2$

We have

$S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000$

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3 years ago