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
vodomira [7]
3 years ago
5

The figure shows the elliptical orbit of Mercury, whose minimum distance to the Sun is 29 million miles and whose maximum distan

ce to the Sun is 43 million miles. According to Kepler's laws, the average distance of a planet to the Sun is equal to half the length of the orbit's major axis. The average distance of Mercury to the Sun is _____ million miles. (Enter only the number.)

Mathematics
1 answer:
Ghella [55]3 years ago
6 0
The minimum distance between Mercury and the sun is 29 million miles.
The maximum distance between Mercury and the sun is 43 million miles.
Therefore, the length of the orbit's major axis is
29 + 43 = 72 million miles
and the average distance is
72/2 = 36 million miles
You might be interested in
Solve the system of equations given . -2x+5y=-3
algol13

For this case we have the following system of equations:

-2x + 5y = -3\\y-15 = 3x

We multiply the second equation by -5:

-5y + 75 = -15x

Now we add the equations:

-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6

We find the value of the variable "y":

y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3

THE solution is: (-6, -3)

Answer:

(-6, -3)

3 0
3 years ago
In a test contains 10 questions, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. S
romanna [79]
I think it would be 21 points total for 7 correct awnsers I did the math hope it helps
5 0
3 years ago
Read 2 more answers
Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum
otez555 [7]

<u>Step-by-step explanation:</u>

To prove:

\cos 3x=\cos^3x-3\sin^2 x\cos x

Identities used:

\cos(A+B)=\cos A\cos B+\sin A\sin B      ......(1)

\sin 2A=2\sin A\cos A        ........(2)

\cos 2A=\cos^2A-\sin^2 A     .......(3)

Taking the LHS:

\Rightarrow \cos 3x=\cos (x+2x)

Using identity 1:

\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x

Using identities 2 and 3:

\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x

As, LHS = RHS

Hence proved

4 0
3 years ago
I need urgent help!!! What is the volume of the figure?
Allisa [31]

Answer:

3190 ft

Step-by-step explanation:

add 22 plus 7 to get the entire length then multiply 29 by 11 the multiply that by ten hope this helps

3 0
3 years ago
State what information is required to know that the triangles are congruent.<br> -GEOMETRY
irina1246 [14]

\huge \bf༆ Answer ༄

The additional information needed to prove that the triangles are congruent is ~ A

  • \sf \angle M \cong \angle V \:  \: or \:  \: \angle N \cong\angle U

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the answer to number 17
    12·1 answer
  • 6n=3.6 one step equations
    7·2 answers
  • How do you write 1/27 as a expression with no fraction bar
    14·1 answer
  • In a classroom, there are 13 scholars. Each scholar has a total of $1.75 in each pocket. If every scholar has a total of two poc
    6·1 answer
  • Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = negative 2 over 3x + 3.
    14·1 answer
  • 10x+18+11x+67=180 what is x
    5·1 answer
  • Find x and y please
    13·2 answers
  • Find the value of x (Round to the nearest tenth)<br><br><br><br><br> Help plssssssssss
    10·1 answer
  • different names were put into a hat. A name is chosen times and the name is chosen times. What is the experimental probability o
    14·1 answer
  • Kim bought her Supreme shoes for $52 on eBay. She marks up the shoes to resell on GOAT for 120% of the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!