Answer :
Sure! Let's go through the conversions step by step.
1. Convert the length of the nails from inches to centimeters:
The conversion factor from inches to centimeters is 1 inch = 2.54 cm.
- For nails that are 2 inches long:
[tex]\[
2 \text{ inches} \times 2.54 \text{ cm/inch} = 5.08 \text{ cm}
\][/tex]
- For nails that are [tex]\(2 \frac{1}{2}\)[/tex] inches long:
[tex]\[
2.5 \text{ inches} \times 2.54 \text{ cm/inch} = 6.35 \text{ cm}
\][/tex]
- For nails that are 3 inches long:
[tex]\[
3 \text{ inches} \times 2.54 \text{ cm/inch} = 7.62 \text{ cm}
\][/tex]
- For nails that are [tex]\(3 \frac{2}{2}\)[/tex] inches long (which is actually 4 inches):
[tex]\[
3.5 \text{ inches} \times 2.54 \text{ cm/inch} = 8.89 \text{ cm}
\][/tex]
2. Convert the airplane's altitude from feet to centimeters and meters:
The airplane is flying at 25,000 feet.
- Conversion from feet to centimeters:
[tex]\[
25,000 \text{ feet} \times 30.48 \text{ cm/foot} = 762,000 \text{ cm}
\][/tex]
- Conversion from feet to meters:
[tex]\[
25,000 \text{ feet} \times 0.3048 \text{ m/foot} = 7,620 \text{ m}
\][/tex]
3. Convert the length of the road from miles to meters and kilometers:
The road is 65 miles long.
- Conversion from miles to meters:
[tex]\[
65 \text{ miles} \times 1,609.34 \text{ m/mile} = 104,607.1 \text{ meters}
\][/tex]
- Conversion from meters to kilometers:
[tex]\[
104,607.1 \text{ meters} / 1,000 \text{ m/km} = 104.6071 \text{ km}
\][/tex]
These conversions help determine the various measurements in centimeters, meters, and kilometers.
1. Convert the length of the nails from inches to centimeters:
The conversion factor from inches to centimeters is 1 inch = 2.54 cm.
- For nails that are 2 inches long:
[tex]\[
2 \text{ inches} \times 2.54 \text{ cm/inch} = 5.08 \text{ cm}
\][/tex]
- For nails that are [tex]\(2 \frac{1}{2}\)[/tex] inches long:
[tex]\[
2.5 \text{ inches} \times 2.54 \text{ cm/inch} = 6.35 \text{ cm}
\][/tex]
- For nails that are 3 inches long:
[tex]\[
3 \text{ inches} \times 2.54 \text{ cm/inch} = 7.62 \text{ cm}
\][/tex]
- For nails that are [tex]\(3 \frac{2}{2}\)[/tex] inches long (which is actually 4 inches):
[tex]\[
3.5 \text{ inches} \times 2.54 \text{ cm/inch} = 8.89 \text{ cm}
\][/tex]
2. Convert the airplane's altitude from feet to centimeters and meters:
The airplane is flying at 25,000 feet.
- Conversion from feet to centimeters:
[tex]\[
25,000 \text{ feet} \times 30.48 \text{ cm/foot} = 762,000 \text{ cm}
\][/tex]
- Conversion from feet to meters:
[tex]\[
25,000 \text{ feet} \times 0.3048 \text{ m/foot} = 7,620 \text{ m}
\][/tex]
3. Convert the length of the road from miles to meters and kilometers:
The road is 65 miles long.
- Conversion from miles to meters:
[tex]\[
65 \text{ miles} \times 1,609.34 \text{ m/mile} = 104,607.1 \text{ meters}
\][/tex]
- Conversion from meters to kilometers:
[tex]\[
104,607.1 \text{ meters} / 1,000 \text{ m/km} = 104.6071 \text{ km}
\][/tex]
These conversions help determine the various measurements in centimeters, meters, and kilometers.
