Respuesta :
Answer:
Distance to Neptune at the farthest < distance to the star Betelgeuse < distance to the star VY Canis Majoris < distance to the galaxy Large Magellanic Cloud
Explanation:
Firstly, we need to work with the same units in order to make the comparison among the given distances. So, let's work with kilometers ([tex]km[/tex]):
distance to the star Betelgeuse: 640 ly
[tex]640 ly \frac{63000 AU}{1 ly} \frac{1.5(10)^{8} km}{1 AU}=6.048(10)^{15} km[/tex]
distance to the star VY Canis Majoris: 3.09 × 108 AU
[tex]3.09(10)^{8} AU \frac{1.5(10)^{8} km}{1 AU}=4.635(10)^{16} km[/tex]
distance to the galaxy Large Magellanic Cloud: 49976 pc
[tex]49976 pc \frac{3.262 ly}{1 pc} \frac{63000 AU}{1 ly} \frac{1.5(10)^{8} km}{1 AU}=1.54(10)^{18} km[/tex]
distance to Neptune at the farthest: 4.7 billion km
[tex]4.7 billion km=4.7(10)^{12} km[/tex]
Now that we have all the distances in kilometers we can compare and arrange them in order from least to greatest:
Distance to Neptune at the farthest: [tex]4.7 billion km=4.7(10)^{12} km[/tex]
Distance to the star Betelgeuse: [tex]640 ly=6.048(10)^{15} km[/tex]
Distance to the star VY Canis Majoris: [tex]3.09(10)^{8} AU=4.635(10)^{16} km[/tex]
Distance to the galaxy Large Magellanic Cloud: [tex]49976 pc=1.54(10)^{18} km[/tex]
Answer:
Distance to Neptune at the farthest >distance to the star Betelgeuse >distance to the star VY Canis Majoris > distance to the galaxy Large Magellanic Cloud
Explanation: