Get expert advice and community support for all your questions on IDNLearn.com. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.
Sagot :
Let's solve the problem step-by-step.
1. Understand the given data:
- The average distance of Venus from the Sun is [tex]\(108.2\)[/tex] million kilometers.
- The conversion factor is [tex]\(1 \text{ AU} = 1.5 \times 10^8 \text{ km}\)[/tex].
2. Convert the distance from kilometers to astronomical units (AU):
- Given distance in kilometers is [tex]\(108.2 \times 10^6 \text{ km}\)[/tex].
- Conversion factor is [tex]\(1.5 \times 10^8 \text{ km/AU}\)[/tex].
3. Set up the conversion:
To find the distance in AU, we divide the distance in kilometers by the conversion factor.
[tex]\[ \text{Distance in AU} = \frac{108.2 \times 10^6 \text{ km}}{1.5 \times 10^8 \text{ km/AU}} \][/tex]
4. Perform the division:
[tex]\[ \text{Distance in AU} = \frac{108200000}{150000000} \][/tex]
Simplifying the fraction, we get:
[tex]\[ \text{Distance in AU} \approx 0.7213 \][/tex]
5. Compare with the given options:
- A. 0.72 AU
- B. 1.25 AU
- C. 3.56 AU
- D. 45.63 AU
- E. 96.12 AU
6. Select the closest answer:
The calculated distance is [tex]\(0.7213 \text{ AU}\)[/tex], which is very close to [tex]\(0.72 \text{ AU}\)[/tex].
Hence, the correct answer is:
A. 0.72 AU
1. Understand the given data:
- The average distance of Venus from the Sun is [tex]\(108.2\)[/tex] million kilometers.
- The conversion factor is [tex]\(1 \text{ AU} = 1.5 \times 10^8 \text{ km}\)[/tex].
2. Convert the distance from kilometers to astronomical units (AU):
- Given distance in kilometers is [tex]\(108.2 \times 10^6 \text{ km}\)[/tex].
- Conversion factor is [tex]\(1.5 \times 10^8 \text{ km/AU}\)[/tex].
3. Set up the conversion:
To find the distance in AU, we divide the distance in kilometers by the conversion factor.
[tex]\[ \text{Distance in AU} = \frac{108.2 \times 10^6 \text{ km}}{1.5 \times 10^8 \text{ km/AU}} \][/tex]
4. Perform the division:
[tex]\[ \text{Distance in AU} = \frac{108200000}{150000000} \][/tex]
Simplifying the fraction, we get:
[tex]\[ \text{Distance in AU} \approx 0.7213 \][/tex]
5. Compare with the given options:
- A. 0.72 AU
- B. 1.25 AU
- C. 3.56 AU
- D. 45.63 AU
- E. 96.12 AU
6. Select the closest answer:
The calculated distance is [tex]\(0.7213 \text{ AU}\)[/tex], which is very close to [tex]\(0.72 \text{ AU}\)[/tex].
Hence, the correct answer is:
A. 0.72 AU
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.