3 years ago

Type the correct answer in each box. Use numerals instead of words.

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

Luda [366]3 years ago

6 0

Answer:

3x^2-12x+8

Step-by-step explanation:

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A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

lubasha [3.4K]

<h2>Answer:</h2>

$\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}$

<h2>Step-by-step explanation:</h2>

The origin of the coordinate system is the center of the circle. So we have an angle that measures $5\pi/12=75^{\circ}$ . so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

$x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})$