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3 years ago

The sum of two consecutive odd intergers is 92

Mathematics

2 answers:

frutty [35]3 years ago

8 0

Answer:

45,47

Step-by-step explanation:

(x)+(x+2)=92

= 2x+2=92

=2x=90

x=45

x+2=47

solong [7]3 years ago

5 0

Answer:

45 and 47

Step-by-step explanation:

45+47 = 92

45 and 47 are next to each other when counting odd numbers.

EX: 41, 43, 45, 47, 49...

This makes them consecutive.

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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:

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

Finally, the exact value of the position of the rider after the carousel rotates $5\pi/12$ radians is:

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

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