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8090 [49]
1 year ago
10

What is the value of cos(150°)?

Mathematics
1 answer:
baherus [9]1 year ago
4 0

ANSWER

-\frac{\sqrt[]{3}}{2}

EXPLANATION

Given

\begin{gathered} \cos \text{ 150} \\  \end{gathered}

We can find cos 150 by using

\begin{gathered} \cos (180-\theta)=-\cos \theta \\ \Rightarrow\cos (180-\theta) \\ =-\cos 30 \end{gathered}

recall that

\begin{gathered} \cos 30=\frac{\sqrt[]{3}}{2} \\  \end{gathered}

Hence,

\begin{gathered} \cos 150=-\cos 30 \\ =-\frac{\sqrt[]{3}}{2} \\  \end{gathered}

Therefore, the value of cos 150 is

-\frac{\sqrt[]{3}}{2}

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Answer:

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Step-by-step explanation:

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3 years ago
Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a
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To solve this problem we can think of a rule of three.
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7 0
3 years ago
Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
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A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
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Answer:

3)  y=\dfrac35x+\dfrac25

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<u>Exercise 3</u>

-3x + 5y = 2

\implies 5y = 3x + 2

\implies y=\dfrac35x+\dfrac25

<u>Exercise 4</u>

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4 0
2 years ago
Read 2 more answers
Write the expression as a square of a binomial: 49x^2+12xy+64y^2
DiKsa [7]
STEP
1
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Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
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Equation at the end of step
2
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(72x2 + 12xy) + 26y2
STEP
3
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Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2
5 0
3 years ago
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