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Alexeev081 [22]
3 years ago
14

Find the exact value of Cos 240 degrees without a calculator. Show your work!

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

it equals <span>(−<span>12</span>)</span> because <span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>

Explanation:

The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)

<span>60∘</span> is an angle of one of the standard triangles with 
<span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>

<span>240∘</span> is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span>cos<span>(<span>60∘</span>)</span></span></span>

<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>

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Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
Gnom [1K]

Answer:

Yes

Step-by-step explanation:

If y is the total cost, then this would be correct.

7 0
3 years ago
What is the equation of the line that passes through the point (8,-8) and has a<br> slope of - 2?
SpyIntel [72]

Answer:

y = -2x + 8

Step-by-step explanation:

y = mx + b

-8 = -2(8) + b

-8 = -16 + b

8 = b

y = -2x + 8

3 0
3 years ago
Read 2 more answers
Write 5% as a decimal.
jolli1 [7]
You cannot do it that way.  Make sure the question you wrote is correct, because you would divide 5 by 100, not 100 by 5.  A simple way is to move the decimal point two points to the left.  5% as a decimal is 0.05.  

The answer is false if the question is written this way.  
3 0
4 years ago
you rent a canoe for 5$ per hour.Your cost before the tax is added is 12.50. write and solve an equation to find the total numbe
Basile [38]

Answer: The equation is   5x = 12.50   and  you will have the canoe for 2 and half hours or 2 hours 30 minutes.

Step-by-step explanation:

You rent the canoe for 5 dollars per hour and that can be represented by the expression  5x.  After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.

5x  = 12.50    Solve for x  by divide both sides by 5.

x = 2.5

This means you will need the canoe for 2 and half hours.

8 0
3 years ago
find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp
Norma-Jean [14]

Let that be

\\ \rm\Rightarrow y=\dfrac{a(f(x))}{g(x)}

Two vertical asymptotes at -1 and 0

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x(x+1)}

If we simply

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x^2+1}

  • Denominator has degree 2
  • Numerator should have degree as 2 and coefficient as 3 inorder to get horizontal asymptote y=3 means the quadratic equation should contain 3x²
  • But there should be a x intercept at -3 so one zeros should be -3

Find a equation

  • 3x²+9x

Find zeros

  • 3x²+9x=0
  • 3x(x+3)=0
  • x=0,-3

Horizontal asymptote

  • 3x²/x²
  • 3

So our equation is

\\ \rm\Rightarrow y=\dfrac{3x^2+9x}{x(x+1)}

Graph attached

4 0
2 years ago
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