A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).
The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
<h3>What is the mathematical expression of Kepler's law ?</h3>
![T^2 = 4\pi ^2a^3/GM](https://tex.z-dn.net/?f=T%5E2%20%3D%204%5Cpi%20%5E2a%5E3%2FGM)
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
![T^2 = a^3](https://tex.z-dn.net/?f=T%5E2%20%3D%20a%5E3)
![T = \sqrt(a^3)](https://tex.z-dn.net/?f=T%20%3D%20%5Csqrt%28a%5E3%29)
![T = \sqrt(30^3)](https://tex.z-dn.net/?f=T%20%20%3D%20%5Csqrt%2830%5E3%29)
![T = 164.3](https://tex.z-dn.net/?f=T%20%3D%20164.3)
Therefore, the Neptune's time period of orbit is 164.3 earth years.
To learn more about the time period visit:
brainly.com/question/329317
Answer:
256
Step-by-step explanation:
1st : 2nd = 8 : 7 -------- (1)
Number of 2nd year students = 224
Number of 1st year students = ?
From equ. 1,
1st : 2nd = 1st : 224 = 8 : 7
Therefore,
1st / 224 = 8 / 7
1st = 8 * 224 / 7
Therefore, Number of 1st year students = 256
Step-by-step explanation:
3 balloons + 2 cakes = £19
=> 9 balloons + 6 cakes = £57 (multiply by 3)
9 balloons + 6 cakes = £57
- (9 balloons + 3 cakes = £42)
=> 3 cakes = £15, 1 cake = £5.
Therefore 3 balloons + 2(£5) = £19,
3 balloons = £9, 1 balloon = £3.
Hence each balloon is £3 and each cake is £5.
Answer:
The Answer would be B. 320
Step-by-step explanation: