Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds = 
arc minute
12 arc seconds = 
arc minute
12 arc seconds = 
arc minute
So, 12 arc seconds = arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute = degree
arc minute = 
degree
arc minute = 
degrees
12 arc seconds = degrees
Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
4. 2b-6+3b=
5b-6=143
5b=143+6
5b=149
b=149
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5
It’s the solution for this question
