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grigory [225]
3 years ago
7

0 is in quadrant III and cos^2 0=1/4

Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Answer:

θ = 240

and

cos(θ) = -0.5

Step-by-step explanation:

Theta is in the third quadrant, that meansit goes from 180 to 270 degrees

Then,

cos^2 (θ) =1/4

cos (θ) = ± 1/2

θ = arccos(0.5)

θ = 60

But in the third quadrant

θ = 180 + 60  = 240

θ = 240

and

cos(θ) = -0.5

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Step-by-step explanation:

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5 0
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What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?
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Answer:

\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.

\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}

8 0
3 years ago
How do you figure out what 13 x 379?
morpeh [17]
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