1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
10

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P=

a^3/2.
If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Mathematics
2 answers:
sweet [91]3 years ago
4 0
Hello,

a^3/2=29.5
==>a=29.5^2/3
==>a=9.5473170...AU
in reality: 9.5388..AU (astronomic unit)
Elodia [21]3 years ago
3 0

Answer: 9.54731702 astronomical units


Step-by-step explanation:

Given: The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P=a^{\frac{3}{2}.

Saturn’s orbital period P = 29.5 years

Substitute this value in the equation above, we get

29.5=a^{\frac{3}{2}}\\\Rightarrow(29.5)^{\frac{2}{3}}=a\\\Rightarrow\ a=9.54731702\text{ astronomical units}

Hence, its distance from the sun = 9.54731702 astronomical units.

You might be interested in
If logx27 + logy4 =5<br>and logx27 - logy4 =1<br>find x and y​
Elanso [62]

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\

5 0
2 years ago
Need some help with multiplying algebraic fractions
Nezavi [6.7K]

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10x^{3}y^{2}/24x

the coefficients (numbers) can each be divided by 2

5x^{3} y^{2}/12x

subtract the "x" exponents together

5x^{2} y^{2}/12

8 0
3 years ago
Its asking to solve for y and the rest​
gladu [14]
First you have to find the missing y
3 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Alika [10]
Your answer is 5173.
6 0
2 years ago
What is the inequality shown?<br> n<br> -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
Keith_Richards [23]

Answer:

0 answer is yes.........

5 0
3 years ago
Other questions:
  • Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm.
    7·1 answer
  • A convenience store manager wants to find out
    13·2 answers
  • Select all ordered pairs that satisfy the function y = 4x + 3
    13·1 answer
  • What is the answer to #14?
    6·1 answer
  • What are the various fields of linear equations
    13·1 answer
  • -x ≥ 23<br> What is the answer?
    12·1 answer
  • Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a king of clu
    14·1 answer
  • If you were to take a typical payday loan for $150, with an interest rate of 24.5% due in full after two weeks, what is the tota
    13·1 answer
  • What is the slope of (6,3) (3,-6)
    8·2 answers
  • A boat leaves a dock and goes 240 miles in a direction of 290 degrees. It then turns and goes 50 miles in a direction on 30 degr
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!