It is about 30,000 light years from our solar system to the center of the Milky Way Galaxy. The solar system revolves around the center of the Milky Way with an angular velocity of about 2.6 × 10 -8 radians per year. a. What distance does the solar system travel in its orbit each year? b. Given that a light year is about 5.88 × 10 12 miles, how fast is the solar system circling the center of the galaxy in miles per hour?

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right

a ≈ 172.05

step-by-step explanation:

the pictures.