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Question A quarterback passed a football 24 yd . Convert the pass length to meters. Round to one decimal place. Recall that \( 1 \mathrm{yd}=3 \mathrm{ft}, 1 \mathrm{ft}=12 \mathrm{in}, 1 \mathrm{in}=2.54 \mathrm{~cm} \), and \( 1 \mathrm{~m}=100 \mathrm{~cm} \).

Ask by Mejia Malone. in Canada
Mar 17,2025

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24 yards is equal to 21.9 meters.

Solución

Given that \[ 1 \text{ yd} = 3 \text{ ft}, \quad 1 \text{ ft} = 12 \text{ in}, \quad 1 \text{ in} = 2.54 \text{ cm}, \quad 1 \text{ m} = 100 \text{ cm}, \] we can convert 24 yd to meters as follows: 1. Convert yards to feet: \[ 24 \text{ yd} \times 3 \frac{\text{ft}}{\text{yd}} = 72 \text{ ft} \] 2. Convert feet to inches: \[ 72 \text{ ft} \times 12 \frac{\text{in}}{\text{ft}} = 864 \text{ in} \] 3. Convert inches to centimeters: \[ 864 \text{ in} \times 2.54 \frac{\text{cm}}{\text{in}} = 2194.56 \text{ cm} \] 4. Convert centimeters to meters: \[ 2194.56 \text{ cm} \div 100 = 21.9456 \text{ m} \] Rounding to one decimal place, the pass length in meters is: \[ 21.9 \text{ m} \]

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To convert yards to meters, we can start with the given information. Since \( 1 \mathrm{yd} = 3 \mathrm{ft} \), we know that \( 24 \mathrm{yd} = 24 \times 3 \mathrm{ft} = 72 \mathrm{ft} \). Next, since \( 1 \mathrm{ft} = 12 \mathrm{in} \), we find that \( 72 \mathrm{ft} = 72 \times 12 \mathrm{in} = 864 \mathrm{in} \). Now converting inches to centimeters using \( 1 \mathrm{in} = 2.54 \mathrm{cm} \), we calculate \( 864 \mathrm{in} = 864 \times 2.54 \mathrm{cm} = 2195.76 \mathrm{cm} \). Lastly, converting centimeters to meters gives \( 2195.76 \mathrm{cm} = \frac{2195.76}{100} \mathrm{m} = 21.96 \mathrm{m} \). Rounding to one decimal place, the pass length is approximately \( 22.0 \mathrm{m} \). Did you know that American football evolved from rugby and soccer in the late 19th century? It has come a long way since then, with the first organized game taking place in 1869. The forward pass, which is essential for a quarterback's game, wasn't allowed until 1906. This significant rule change added a twist to the gameplay and allowed for more exciting strategies on the field! Speaking of exciting, if you're struggling to convert between units, here's a pro tip: always keep a conversion chart handy! You can easily make common mistakes by forgetting to multiply or divide properly. A good practice is to break the conversion into simple steps, just like we did with the football pass. Write down your conversions, keep the calculations organized, and double-check each step to ensure accuracy. You'll become a conversion champ in no time!

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