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Feliz [49]
3 years ago
8

What are the coordinates of a point on the unit circle if the angle formed by the positive x-axis and the radius is 330°?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
This is what I could find.


Draw a 53° angle in standard position together with a unit circle<span>. Use the triangle below to </span>find<span> the x- any y-</span>coordinates<span> of the </span>point<span> of intersection of the terminal side and the </span>circle<span>. Compute and . Confirm that they are equal to and .</span>
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Solve x - 3 1/8 = 5/12
Anna007 [38]

Answer:

\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}

Step-by-step explanation:

Convert the mixed number to the fraction:

3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}

METHOD 1:

x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}

METHOD 2:

x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}

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Which correctly uses bar notation to represent the repeating decimal for 6/11?
Alexandra [31]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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