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cricket20 [7]
3 years ago
8

2) A bike tire has a radius of 11 inches. If the tire spins 6 times, what distance does

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

414.48 inches

Step-by-step explanation:

If the radius is 11 inches, the circumference is 2pi*11, which is 69.08 inches. If the tire spins 6 times, it travels a distance equivalent to 6*69.08, which is 414.48 inches.

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Drag the tiles to the correct boxes to complete the pairs. Match the polar equations to their rectangular forms.​
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The correct answer for the polar coordinates will be C, A, E, B, D

<h3>What is a polar coordinate system?</h3>

The polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane. The pole is the reference point, and the polar axis is the ray from the pole in the reference direction.

The conversion relations between rectangular and polar coordinates can be used to find the polar coordinate equivalents. Those relations are ...

x = r·cos(θ)

y = r·sin(θ)

x² +y² = r²

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r·cos(θ) = 2

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r = 2·sec(θ) . . . . use the trig identity

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From above, this becomes ...

r² = 36

r = 6 . . . . . . take the square root

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From above, this becomes ...

r² = 2·r·sin(θ)

r = 2·sin(θ) . . . . . . divide by r

x=√3y

Using the above relations, this is ...

r·cos(θ) = √3·r·sin(θ)

1/√3 = sin(θ)/cos(θ) . . . . . . divide by √3·r·cos(θ)

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From above, this is ...

r·cos(θ) = r·sin(θ)

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However, the tangent function is periodic with period π, so θ = arctan(k)+π is also equivalent to the rectangular equation. It is the opposite ray, so forms the complete line when joined with the first ray.

To know more about polar coordinate system follow

brainly.com/question/14965899

#SPJ1

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Is the equation supposed to be like this


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