answer.
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
ella [17]
2 years ago
8

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 Superscript three-halves. If Saturn's orbital period is 29.5 years, what is its distance from the sun?
Mathematics
2 answers:
Elden [556K]2 years ago
8 0

Answer:

a) 9.5 AU

Step-by-step explanation:

on edge

anygoal [31]2 years ago
3 0

Answer:

a for saturn is 9.55 astronomical units

Step-by-step explanation:

Here, we are interested in calculating the distance from the sun.

Mathematically, from the question;

P = a^3/2

29.5 = a^3/2

a = 29.5^2/3

a = [3√(29.5)]^2

a = 9.55 in astronomical units

You might be interested in
Farmer frank owns a piece of grassland. The grass grows at a constant rate and each cow eats at a constant rate. 12 cows can eat
MrRa [10]

Answer: There are 36 cows that can eaten 72 acres of grass in 126 days.

Step-by-step explanation:

Let x be the amount of grass in an acre initially.

Let y be the amount of grass grown in an acre per day.

Since we have given that

12 cows can eat 10 acres of grass in 28 days

12×28  = 10x + 10×28 y

336 = 10x + 280 y----------------------------(1)

Similarly,

21 cows can eat 30 acres of grass in 63 days.

21×63  = 30x + 30×63 y

1323 = 30x +1890 y ---------------------------(2)

So, by graphing method, we get the value of x and y

x=\dfrac{126}{5},\ y=\dfrac{3}{10}

So, we have,  72 acres of grass in 126 days, we need to find the number of cows.

So, it becomes,

c×126 = 72x + 72×126 y

126c=72\times \dfrac{126}{5}+72\times 126\times \dfrac{3}{10}\\\\126x=4536\\\\x=\dfrac{4536}{126}\\\\x=36

Hence, there are 36 cows that can eaten 72 acres of grass in 126 days.

3 0
2 years ago
The rate traveled from Amarillo to Austin by a bus averages 65 miles per hour. The bus arrived in Austin after eight hours of tr
Kobotan [32]
If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

If the function to get the distance traveled by the automobile is given by:
d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
t = 6.5 hours

It takes 6.5 hours for the automobile to complete the trip
4 0
2 years ago
Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your a
Llana [10]

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *πr^{2}

The area of the sector DBC = (54/360)*3.14*8^{2}

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

8 0
2 years ago
A symmetrical binomial distribution with large sample size can be approximated by a __________
sweet [91]
Typical distribution?
7 0
2 years ago
Given the graphed function below, which of the following ordered pairs are found on the inverse function?
Dmitrij [34]

Answer:

Its C (-9,-2)(-2,-1)(-1,0)(0,1)(7,2)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Brian is solving the equation x2-3/4x=5. What value must be added to both sides of the equation to make the left side a perfect-
    5·2 answers
  • Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the
    15·2 answers
  • Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1
    12·2 answers
  • Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of angle
    12·1 answer
  • A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of th
    8·1 answer
  • Right triangle ABC and right triangle ACD overlap as shown below. Angle DAC measures 20 degrees and angel BCA measures 30 degree
    14·1 answer
  • Use the Financial database from "Excel Databases.xls" on Blackboard. Use Total Revenues, Total Assets, Return on Equity, Earning
    10·1 answer
  • in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who l
    8·2 answers
  • Let μ denote the true average radioactivity level(picocuries per liter). The value 5 pCi/L is considered thedividing line betwee
    5·1 answer
  • ANSWER QUICKLYYY PLEASEE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!