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Answer :
To find the height of the second piece of wood, we start with the given information:
1. The combined height of two pieces of wood is [tex]\(5 \frac{1}{2}\)[/tex] centimeters.
2. The first piece of wood is [tex]\( \frac{3}{5} \)[/tex] inches tall.
To solve this problem, we need to convert the combined height from centimeters to inches since the first piece's height is already given in inches.
### Step-by-step solution:
1. Convert the combined height to inches:
- We know 1 centimeter is approximately 0.393701 inches.
- Thus, [tex]\(5 \frac{1}{2}\)[/tex] centimeters need to be converted to inches. First, convert [tex]\(5 \frac{1}{2}\)[/tex] centimeters to a single fraction: [tex]\(5 \frac{1}{2} = 5.5\)[/tex] cm.
- Then, multiply 5.5 cm by 0.393701 to convert to inches:
[tex]\[
5.5 \, \text{cm} \times 0.393701 \, \text{in/cm} \approx 2.1653555 \, \text{inches}
\][/tex]
2. Find the height of the second piece of wood:
- The total height in inches is approximately 2.1653555 inches.
- Subtract the height of the first piece of wood ( [tex]\(\frac{3}{5}\)[/tex] inches or 0.6 inches) from the total:
[tex]\[
2.1653555 \, \text{inches} - 0.6 \, \text{inches} = 1.5653555 \, \text{inches}
\][/tex]
Therefore, the height of the second piece of wood is approximately 1.5653555 inches.
1. The combined height of two pieces of wood is [tex]\(5 \frac{1}{2}\)[/tex] centimeters.
2. The first piece of wood is [tex]\( \frac{3}{5} \)[/tex] inches tall.
To solve this problem, we need to convert the combined height from centimeters to inches since the first piece's height is already given in inches.
### Step-by-step solution:
1. Convert the combined height to inches:
- We know 1 centimeter is approximately 0.393701 inches.
- Thus, [tex]\(5 \frac{1}{2}\)[/tex] centimeters need to be converted to inches. First, convert [tex]\(5 \frac{1}{2}\)[/tex] centimeters to a single fraction: [tex]\(5 \frac{1}{2} = 5.5\)[/tex] cm.
- Then, multiply 5.5 cm by 0.393701 to convert to inches:
[tex]\[
5.5 \, \text{cm} \times 0.393701 \, \text{in/cm} \approx 2.1653555 \, \text{inches}
\][/tex]
2. Find the height of the second piece of wood:
- The total height in inches is approximately 2.1653555 inches.
- Subtract the height of the first piece of wood ( [tex]\(\frac{3}{5}\)[/tex] inches or 0.6 inches) from the total:
[tex]\[
2.1653555 \, \text{inches} - 0.6 \, \text{inches} = 1.5653555 \, \text{inches}
\][/tex]
Therefore, the height of the second piece of wood is approximately 1.5653555 inches.
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