How Do You Solve These Astronomy Homework Problems?

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To determine the distance and absolute magnitude of a star with a parallax of 0.016 seconds of arc and an apparent magnitude of 6, one can use the formula for distance in parsecs and the relationship between apparent and absolute magnitudes. For a star that is 10 times the radius of the sun and half as hot, its luminosity can be calculated using the Stefan-Boltzmann Law. The diameter of an eclipsed star in a binary system can be derived from its orbital velocity and the time taken for the eclipse. The discussion references a Wikipedia article for further clarification on calculating absolute magnitude. These astronomy problems require an understanding of fundamental concepts in astrophysics and stellar measurements.
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I cannot figure out the answers for the following problems:

1) If a star has a parrallax of 0.016 second of arc and an apparent magnitude of 6, how far away is it, and what is its absolute magnitude?

7) If a star is 10 times the radius of the sun and half as hot, what will its luminosity be?

13) If the orbital velocity of the eclipsing binary in Figure 8-17 is 153 km/s and the smaller star becomes completely eclipsed in 2.5 hours, what is its diameter?
 
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