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Answer :
Let's solve the two parts of the question one by one.
Part 1: Conversion of 5.21 cm
We need to identify which of the given options correctly represents 5.21 cm in other units. Let's convert 5.21 cm into the different units mentioned in the multiple-choice options:
5210 m: Converting centimeters to meters requires dividing by 100 because 1 meter = 100 centimeters. Therefore, [tex]5.21 \text{ cm} = \frac{5.21}{100} \text{ m} = 0.0521 \text{ m}[/tex].
52.1 dm: Converting centimeters to decimeters requires dividing by 10 because 1 decimeter = 10 centimeters. Therefore, [tex]5.21 \text{ cm} = \frac{5.21}{10} \text{ dm} = 0.521 \text{ dm}[/tex].
0.000521 km: Converting centimeters to kilometers requires dividing by 100,000 because 1 kilometer = 100,000 centimeters. Therefore, [tex]5.21 \text{ cm} = \frac{5.21}{100,000} \text{ km} = 0.0000521 \text{ km}[/tex].
0.0521 m: This matches our conversion over from option 1.
5.21 mm: Converting centimeters to millimeters requires multiplying by 10 because 1 centimeter = 10 millimeters. Therefore, [tex]5.21 \text{ cm} = 5.21 \times 10 \text{ mm} = 52.1 \text{ mm}[/tex].
The correct conversion choice that matches 5.21 cm is option 4. 0.0521 m.
Part 2: Conversion of 30.4 lb to kilograms
To convert pounds to kilograms, we use the conversion factor where 1 pound is approximately 0.453592 kilograms.
[tex]30.4 \text{ lb} \times 0.453592 \text{ kg/lb} = 13.7891968 \text{ kg}[/tex]
Rounding to one decimal place, we get 13.8 kg.
The correct conversion choice is option 1. 13.8 kg.
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