5. The wheel of a unicycle has a radius of 14 in. About how many rotations does it take for the wheel to travel 440 in.? O 3 rotations
O 5 rotations
• 8 rotations
O 10 rotations
i’m in connexus
its 5 rotations I just took it
To find the number of rotations it takes for the wheel to travel a certain distance, you need to divide the distance traveled by the circumference of the wheel.
The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.
In this case, the radius of the wheel is given as 14 inches. Therefore, the circumference is C = 2π(14) = 28π inches.
To find the number of rotations, divide the distance traveled (440 inches) by the circumference of the wheel: 440 ÷ (28π).
To get a decimal approximation, you can use an approximation for the value of pi. The commonly used approximation is π ≈ 3.14.
So, the number of rotations is approximately 440 ÷ (28 × 3.14).
Calculating this, we get approximately 440 ÷ 87.92.
This simplifies to approximately 4.99 rotations.
Since we are looking for an estimate, the closest whole number is 5 rotations.
Therefore, the answer is O 5 rotations.
AAAaannndd the bot gets it wrong yet again!
440/(2π*14) = 5