Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds =
minutes =
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's
figures.
What will be an ideal response?
9.85 × 1013 km (More recent observations have refined this value to about
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Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.
A. {(-5, 0)}
B. infinitely many solutions; { y = -5} or {
y = 0}
C. {(0, -5)}
D. no solution; ?
Find the probability of the event. Express the answer as a percent chance.Choosing a diamond from a standard deck of cards.
A. 25% B. 50% C. 20% D. 30%
Solve the problem.Erika spent hr on her computer visiting the history channel and the discovery channel websites. She spent
hr at the history channel website. How many hours did she spend at the discovery channel website?
A. hr
B. hr
C. hr
D. hr
Solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable. x -8y + z = 53x - y + 2z = 6
A.
B. ?
C.
D.