Question
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  1. Higher Order Thinking A unicycle wheel
    makes five rotations. The unicycle travels
    37.94 feet. Find the diameter of the wheel
    in inches. Use 3.14 for . Round to the nearest
    tenth of an inch.

Ask by Hobbs Hills. in the United States
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

El diámetro de la rueda es 29.0 pulgadas.

Solution

  • Paso 1. Calcular la circunferencia de la rueda en pies.
    Dado que la rueda realiza 5 rotaciones y recorre 37.94 pies, la circunferencia es:
  • Paso 2. Determinar el diámetro en pies.
    La fórmula para la circunferencia es:
    Despejando :
  • Paso 3. Convertir el diámetro de pies a pulgadas.
    Recordando que :
  • Paso 4. Redondear a la décima de pulgada.
    El diámetro de la rueda redondeado es:
Respuesta final: El diámetro de la rueda es pulgadas.

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Bonus Knowledge

To find the diameter of the unicycle wheel, first need to determine the circumference of the wheel. The formula for circumference © is given by , where is the diameter. Since the wheel makes five rotations over 37.94 feet, the total distance traveled in one rotation is .
Now, we need to convert 7.588 feet to inches (1 foot = 12 inches), resulting in . Now we can set the circumference equal to . Solving for , we divide by :
Rounding to the nearest tenth gives a final answer of 29.0 inches for the diameter of the wheel.
To make it even more exciting, did you know that unicycling has been around since the late 1800s? It originally sprang from the invention of the bicycle! Over time, trick riding and performance art evolved, leading to the unicycle being a favorite among circus performers and extreme sports enthusiasts.
If you’re planning to hop on a unicycle, start practicing in a safe area and consider using protective gear. Common mistakes include not leaning forward enough, which can lead to losing balance. It’s also crucial to look straight ahead, not down at the wheel. With patience and practice, you’ll be cruising around in no time!

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