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Answer :
To find out how much a metal bar that is 2 feet and 5 inches long would weigh, follow these steps:
1. Convert Inches to Feet:
- Since 1 foot equals 12 inches, you need to convert the 5 inches into feet.
- This can be done by dividing the inches by 12: [tex]\( \frac{5}{12} \approx 0.4167 \)[/tex] feet.
2. Find the Total Length in Feet:
- The bar is 2 feet and 5 inches long. We already converted the 5 inches into feet, so the total length in feet is [tex]\( 2 + 0.4167 = 2.4167 \)[/tex] feet.
3. Calculate the Weight Per Foot:
- You know that the original 14-foot bar weighs 164 pounds.
- So, the weight per foot is [tex]\( \frac{164 \text{ pounds}}{14 \text{ feet}} \approx 11.7143 \)[/tex] pounds per foot.
4. Calculate the Weight of the New Bar:
- Multiply the weight per foot by the new bar's length to find its weight:
- [tex]\( 11.7143 \times 2.4167 \approx 28.31 \)[/tex] pounds.
5. Round the Result:
- Finally, round the result to two decimal places: The bar weighing approximately 28.31 pounds.
Therefore, the metal bar that is 2 feet and 5 inches long weighs approximately 28.31 pounds.
1. Convert Inches to Feet:
- Since 1 foot equals 12 inches, you need to convert the 5 inches into feet.
- This can be done by dividing the inches by 12: [tex]\( \frac{5}{12} \approx 0.4167 \)[/tex] feet.
2. Find the Total Length in Feet:
- The bar is 2 feet and 5 inches long. We already converted the 5 inches into feet, so the total length in feet is [tex]\( 2 + 0.4167 = 2.4167 \)[/tex] feet.
3. Calculate the Weight Per Foot:
- You know that the original 14-foot bar weighs 164 pounds.
- So, the weight per foot is [tex]\( \frac{164 \text{ pounds}}{14 \text{ feet}} \approx 11.7143 \)[/tex] pounds per foot.
4. Calculate the Weight of the New Bar:
- Multiply the weight per foot by the new bar's length to find its weight:
- [tex]\( 11.7143 \times 2.4167 \approx 28.31 \)[/tex] pounds.
5. Round the Result:
- Finally, round the result to two decimal places: The bar weighing approximately 28.31 pounds.
Therefore, the metal bar that is 2 feet and 5 inches long weighs approximately 28.31 pounds.
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