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KATRIN_1 [288]
3 years ago
14

Larry rides his bike at a rate of 8.8 inches per second. About how m any miles per hour can Larry ride his bike?

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Larry rides his bike 0.5 miles per hour

<em><u>Solution:</u></em>

Given that Larry rides his bike at a rate of 8.8 inches per second

To find: Speed in miles per hour

So we have to convert 8.8 inches per second to miles per hour

<em><u>Use the conversion factor</u></em>

1 \text{ inch } = \frac{1}{63360} \text{ mile }

1 \text{ second } = \frac{1}{3600} \text{ hours }

<em><u>Convert 8.8 inches per second to miles per hour</u></em>

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times \frac{1}{63360} \times 3600 \times \frac{\text{miles}}{\text{hour}}

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times 0.00001578282 \times 3600 \times \frac{\text{miles}}{\text{hour}}\\\\8.8 \frac{\text{inches}}{\text{second}} = 0.5 \frac{miles}{hour}

Thus Larry rides his bike 0.5 miles per hour

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Given Information:  

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Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

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Take derivative with respect to x

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2 - 32/x² = 0

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Verification:

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