Respuesta :

Answer:

Using formula to calculate the circumference of wheel:

[tex]C = \frac{D}{n}[/tex]

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

[tex]C = \frac{100}{55}=\frac{20}{11}[/tex] meter

[tex]C = 1\frac{9}{11} meter[/tex]

Therefore, the circumference of her wheel is, [tex] 1\frac{9}{11} meter[/tex]

The circumference of her wheel is [tex]1\dfrac{9}{11}\;meter[/tex]

The relation beteween circumferece and Number of times rotation is

[tex]C=\dfrac{D}{N}[/tex]

where

[tex]C=Circumference[/tex]

[tex]D=Distance[/tex]

[tex]N= Number\; of\; time\; rotation[/tex]

the value of [tex]D=100[/tex]

[tex]N=55[/tex]

Hence Put the value

[tex]C=\dfrac{100}{55}[/tex]

[tex]C=\dfrac{20}{11}[/tex]

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