Answer :
To convert 74 pounds (lb) to kilograms (kg), you can use the conversion factor that 1 pound is approximately equal to 0.453592 kilograms. Here's how you can perform the conversion step-by-step:
1. Write down the conversion factor:
[tex]\[ 1 \text{ lb} \approx 0.453592 \text{ kg} \][/tex]
2. Multiply the number of pounds by the conversion factor to find the weight in kilograms:
[tex]\[ 74 \text{ lb} \times 0.453592 \text{ kg/lb} \][/tex]
3. Calculate the exact value:
[tex]\[ 74 \times 0.453592 = 33.565808 \text{ kg} \][/tex]
4. Round the result to the nearest hundredth (two decimal places):
[tex]\[ 33.565808 \approx 33.57 \text{ kg} \][/tex]
Therefore, [tex]\( 74 \text{ lb} \)[/tex] is approximately [tex]\( 33.57 \text{ kg} \)[/tex].
Among the given options [tex]\( 73.55 \text{ kg}, 33.6 \text{ kg}, 74.45 \text{ kg}, 163 \text{ kg} \)[/tex], the closest and correct value is [tex]\( 33.6 \text{ kg} \)[/tex] when rounded to the nearest tenth.
Thus, the correct answer is:
[tex]\[ 33.6 \text{ kg} \][/tex]
1. Write down the conversion factor:
[tex]\[ 1 \text{ lb} \approx 0.453592 \text{ kg} \][/tex]
2. Multiply the number of pounds by the conversion factor to find the weight in kilograms:
[tex]\[ 74 \text{ lb} \times 0.453592 \text{ kg/lb} \][/tex]
3. Calculate the exact value:
[tex]\[ 74 \times 0.453592 = 33.565808 \text{ kg} \][/tex]
4. Round the result to the nearest hundredth (two decimal places):
[tex]\[ 33.565808 \approx 33.57 \text{ kg} \][/tex]
Therefore, [tex]\( 74 \text{ lb} \)[/tex] is approximately [tex]\( 33.57 \text{ kg} \)[/tex].
Among the given options [tex]\( 73.55 \text{ kg}, 33.6 \text{ kg}, 74.45 \text{ kg}, 163 \text{ kg} \)[/tex], the closest and correct value is [tex]\( 33.6 \text{ kg} \)[/tex] when rounded to the nearest tenth.
Thus, the correct answer is:
[tex]\[ 33.6 \text{ kg} \][/tex]
