So how you do scientific notation is, however many places you move the decimal point to the left is the number that you put in the power. For example, Mercury's mass is 330,000,000,000,000,000,000,000. You move the decimal point 23 places to the left to get 3.3 x 10^23. ( ^ means power. The little number that is next to the 10)
Now according to the question, the mass of Jupiter is 5.8 x 10^3 multiplied by 3.3 x 10^23 (5,800 x 330,000,000,000,000,000,000,000).
The answer to part A is,
1,941,000,000,000,000,000,000,000,000
Then, 3.2 x 10^2(X)=5.8 x 10^3 x 3.3 x 10^23
I don't know if you know how to do algebra, but this is very simple to solve. All you do is divide bolth sides of the equation by 3.2 x 10^2 leaving X (Earths mass) on the left.
For the right side need to divide 320 by 1,941,000,000,000,000,000,000,000,000. This will be the answer to part B
Hopefully this was helpful enough for you to show your work. Good luck : )
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Heberto could go 14 blocks East and 14 blocks south, so the last answer
