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AveGali [126]
2 years ago
6

A bicycle wheel has a small pebble embedded in its tread. The bike is set upside down, and the rider accidentally bumps the whee

l and the pebble moves through an arc length of 25.0 cm before coming to rest. In that time, the wheel spins 35°. (a) The radius of the wheel is therefore (1) more than 25.0 cm, (2) less than 25.0 cm, or (3) equal to 25.0 cm. (b) Determine the radius of the wheel.
Mathematics
1 answer:
nikdorinn [45]2 years ago
5 0

Answer:

a) The radius of the wheel is 1) more than 25.0 cm.

b) The radius of the wheel is approximately 40.925556... cm

Step-by-step explanation:

S = rθ is the formula to find the radius of the wheel using the arc and the angle discovered, S being the arc and θ the angle. The angle, however, must be in radians. θ = \frac{35\pi}{180} is used to convert it. So:

θ = \frac{35\pi}{180}

θ = \frac{7\pi}{36}

S = rθ

25 = r \frac{7\pi}{36}

900 = 7\pir

r = \frac{900}{7\pi }

r = 40.925556... cm

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Answer:

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Step-by-step explanation:

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The equation for the horizontal line that contains the point E(3, –4)?
Effectus [21]
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y+4=0(x-3=
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Answer: the equation for the horizontal line that contains the point E, would be:
y=-4
7 0
3 years ago
(secx)dy/dx=e^(y+sinx), please help me solve the differential equation. Thanks :)
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7 0
2 years ago
Read 2 more answers
Triangle FGH with vertices F(6,6), G(8,8), and H(8,3): (a) Reflection: in the line x = 5 (b) Translation: (x,y)→ (x - 7, y - 9)
irakobra [83]

(a) The vertices after the reflection in the line x = 5 are F'(4,6) , G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

In the question a triangle FGH with vertices F(6,6) , G(8,8) and H(8,3) is given

Part (a)

the rule for reflection of point (x,y) by the line x = p  is

(x,y) → (2×p - x , y)

reflection by the line x = 5 ,

we get

the vertices as

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Part (b)

the rule of translation is given as (x,y)→ (x - 7, y - 9)

So , the vertices after translation are

F''(6-7 , 6-9) = (-1,-3)

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Therefore , (a) The vertices after the reflection in the line x = 5 are F'(4,6)

G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

Learn more about Translation here

brainly.com/question/3456459

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