Sarahgarland81idn
Answered

Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

Drag each tile to the correct box.

Arrange the distances between Earth and various celestial objects in order from least to greatest. Use the conversion table to help you.

\begin{tabular}{|l|l|}
\hline
\multicolumn{2}{|c|}{Conversion Table} \\
\hline
1 AU & [tex]$1.5 \times 10^8$[/tex] km \\
\hline
1 ly & [tex]$63,000$[/tex] AU \\
\hline
1 pc & [tex]$3.262$[/tex] ly \\
\hline
\end{tabular}

- Distance to Neptune at the farthest: 4.7 billion km
- Distance to the star Betelgeuse: 640 ly
- Distance to the star VY Canis Majoris: [tex]$3.09 \times 10^8$[/tex] AU
- Distance to the galaxy Large Magellanic Cloud: 49,976 pc

Sagot :

GinnyAnsweridn
Certainly! Let's systematically convert each distance to a common unit, in this case, kilometers, to arrange them in order from least to greatest.

1. Distance to Neptune:
- Already provided in kilometers: [tex]\( 4.7 \times 10^9 \)[/tex] km

2. Distance to Betelgeuse (640 light-years):
- 1 light-year (ly) = 63,000 astronomical units (AU)
- 1 AU = [tex]\( 1.5 \times 10^8 \)[/tex] km
- Convert light-years to astronomical units:
[tex]\( 640 \, \text{ly} \times 63,000 \, \text{AU/ly} = 40,320,000 \, \text{AU} \)[/tex]
- Convert astronomical units to kilometers:
[tex]\( 40,320,000 \, \text{AU} \times 1.5 \times 10^8 \, \text{km/AU} = 6.048 \times 10^{15} \)[/tex] km
- Distance to Betelgeuse: [tex]\( 6.048 \times 10^{15} \)[/tex] km

3. Distance to VY Canis Majoris (3.09 [tex]\(\times 10^8\)[/tex] AU):
- 1 AU = [tex]\( 1.5 \times 10^8 \)[/tex] km
- Convert astronomical units to kilometers:
[tex]\( 3.09 \times 10^8 \, \text{AU} \times 1.5 \times 10^8 \, \text{km/AU} = 4.635 \times 10^{16} \)[/tex] km
- Distance to VY Canis Majoris: [tex]\( 4.635 \times 10^{16} \)[/tex] km

4. Distance to the Large Magellanic Cloud (49,976 parsecs):
- 1 parsec (pc) = 3.262 light-years (ly)
- 1 light-year (ly) = 63,000 astronomical units (AU)
- 1 AU = [tex]\( 1.5 \times 10^8 \)[/tex] km
- Convert parsecs to light-years:
[tex]\( 49,976 \, \text{pc} \times 3.262 \, \text{ly/pc} = 162,949.512 \, \text{ly} \)[/tex]
- Convert light-years to astronomical units:
[tex]\( 162,949.512 \, \text{ly} \times 63,000 \, \text{AU/ly} = 10,265,818,056 \, \text{AU} \)[/tex]
- Convert astronomical units to kilometers:
[tex]\( 10,265,818,056 \, \text{AU} \times 1.5 \times 10^8 \, \text{km/AU} = 1.5405551784 \times 10^{18} \)[/tex] km
- Distance to the Large Magellanic Cloud: [tex]\( 1.5405551784 \times 10^{18} \)[/tex] km

Now, let's arrange these distances from least to greatest:

1. Distance to Neptune: [tex]\( 4.7 \times 10^9 \)[/tex] km
2. Distance to Betelgeuse: [tex]\( 6.048 \times 10^{15} \)[/tex] km
3. Distance to VY Canis Majoris: [tex]\( 4.635 \times 10^{16} \)[/tex] km
4. Distance to the Large Magellanic Cloud: [tex]\( 1.5405551784 \times 10^{18} \)[/tex] km
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.