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3 years ago

7

A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14

as an approximation for

1 answer:

gavmur [86]3 years ago

5 0

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

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$\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}$

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

$7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\$

x ≈ 1.09

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