The orbit of the Moon around the Earth is an ellipse with Earth at one focus. If the length of the major axis of the orbit is 477,736 miles and the length of the minor axis is 477,078 miles, find the minimum and maximum distances from Earth to the Moon. Round to the nearest whole number.

Answers

Answer 1

Answer:

226,335

251,401

Step-by-step explanation:

SKR SKR BOW

Answer 2

The minimum distance from Earth to Moon is 226,332 miles

The maximum distance from Earth to Moon is 251,401 miles

What is an Ellipse?

An ellipse is created by a plane intersecting a cone at the angle of its base

All ellipses have two foci, a center, and a major and minor axis

The sum of the distances from any point on the ellipse to the two foci gives a constant value

The value of eccentricity for all ellipses is less than one

The standard for of equation of ellipse is

( x²/a² ) + ( y²/b² ) = 1

where a > b

The length of the major axis = 2a

The length of the minor axis = 2b

The coordinates of foci = ( ±c , 0 )

where c² = a² - b²

Given data ,

The orbit of the Moon around the Earth is an ellipse with Earth at one focus

The length of the major axis 2a = 477,736 miles

The length of the minor axis 2b = 477,078 miles

Now , the value of a = 238,868 miles

The value of b = 238,539

Now , the maximum distance from earth to moon is = a + c

The minimum distance from earth to moon is = a - c

The value of the foci is given by c² = a² - b²

Substituting the values in the equation , we get

c² = ( 238,868 )² - ( 238,539 )²

c² = 157066903

Taking square roots on both sides , we get

c = 12532.63 miles

Now , maximum distance from earth to moon is = a + c

Maximum distance = 238,868 + 12535.63

                                = 251,400.63 miles

                                ≈ 251,401 miles

Now , The minimum distance from earth to moon is = a - c

Minimum distance = 238,868 - 12535.63

                               = 226,332.37 miles

                               ≈ 226,332 miles

Hence ,

The minimum distance from Earth to Moon is 226,332 miles

The maximum distance from Earth to Moon is 251,401 miles

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Related Questions

Can someone help me please

Answers

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Translate each phrase into an algebraic inequality:
Fiona works part time for a legal firm. She can work a maximum of 30 hours
per week.

Answers

Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

Answer:

Let the maximum time be x

She can work 30 hrs or below ( maximum of 30 hrs)

Therefore, the equation is

[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]

Someone please help me with this question

Answers

It would be in the order it is

Carrie Crop Growers square garden has a side length of 12 feet. What is the area of the​ garden? What is the​ perimeter?

Answers

Answer:

Area = 144   Perimeter = 48

Step-by-step explanation:

if the garden is square and the length is 12 all you do is 12 * 12 for the area and 12+12+12+12 for the perimeter.

Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.

“Fork,” the sailor said – and showed them they should use it to eat the rice.

The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”

Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.

Answers

The correct answer is b

Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

write the ratio in simplest form 36 cats to 16 dogs HELP QUICK PLS

Answers

Answer: 9 cats:4 dogs

Step-by-step explanation:

Divide each to the simplest form

Answer:

9 to 4

Step-by-step explanation:

Mr. Foote needs exactly 6 folders for each fourth-grade student at Hoover Elementary School. If he bought 726 folders, to how many students can he supply folders? PLEASE HELP I HAVE 5 MINUTES TO ANSWER

Answers

Answer:

60try to get it done before the end of this week

solve equation
x^2+6x+1=0
give your answer to 2 decimal places

Answers

Step-by-step explanation:

x² + 6x + 1 = 0

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

x² + 6x + 1 = 0

Make the whole square as

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".

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Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. For how many years did he save this money?

Answers

Answer:

7 years.

Step-by-step explanation:

To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.

The number of years that he saves this money will be 7 years.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. Then the number of years is calculated as,

$280 = ($2,000 x 2 x T) / 100

$28,000 = $4,000 x T

T = $28,000 / $4,000

T = 7 years

The number of years that he saves this money will be 7 years.

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In a certain​ chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains of copper. How many grams of zinc does it​ contain?

Answers

Answer:

4 grams of zinc

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 12 boxes of books to put on shelves can you spell it has 31 bucks each shelf holds 18 books Kevin estimates he will need 20 shells for all the books

Answers

Well if you do 31 books each box times 12 boxes you get 372 books and each shelf holds 18 books so if you do 372 divided into 18 books each shelf you would get 20 shelves
Hoped this helped

HELP ILL GIVE BRAINLIEST

An angle measures 158º more than the measure of its supplementary angle. What is the measure of each angle? _° and _°​

Answers

Answer: 158 and 28

Step-by-step explanation:

Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.

I really need help. I don’t understand

Answers

Answer:

ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.

As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.

If you post the graph ,I will give you full answer

Find the volume of the figure in cubic centimeters.

Answers

Answer:

755.16 cm³

Step-by-step explanation:

We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.

The volume of the bottom part is 12*4*14 = 672 cm³

For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³

Add these 2 up to get 755.16 cm³ as our answer

Rewrite in simplest terms 3 (w-9w+8)-10

Answers

Answer:

-24w + 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

3(w - 9w + 8) - 10

Step 2: Simplify

Combine like terms:                    3(-8w + 8) - 10Distribute 3:                                  -24w + 24 - 10Combine like terms:                    -24w + 14

5x + 16= -3x please hurry

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

5x + 16 = - 3x ( add 3x to both sides )

8x + 16 = 0 ( subtract 16 from both sides )

8x = - 16 ( divide both sides by 8 )

x = - 2

it was 55 degrees F outside until the temperature increased 20 degrees F. which number is the additive inverse of the temperature increase

Answers

Answer:

55-20

Step-by-step explanation:

CAN SOMEONE FIND "x" FOR ME PLZ :/

Answers

Answer:

Explanation:

So, since the arrow is pointing to a RIGHT angle, you have to know the right angle's degree is 90° so set up an equation.

11x - 9 = 90

Now you solve it. Here's a step by step:

11x - 9 = 90

Add nine to nine and ninety. Since the nine in this equation is negative, it'll cancel it out. Now here's what you have left to solve:

11x = 99

Divide -11 from 11 and 99.

x = 9

If you feel like you're wrong, fill it in!

11(9) - 9 = 90

11 x 9 = 99

99 - 9 = 90

There you go!

Please answer 5 x (1/25)

Answers

Answer:

5/25 or simplified 1/5

Step-by-step explanation:

Answer:0.2

Step-by-step explanation:

Which of the following situations can be described by the equation 2x – 4 = 10?

Answers

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag.

Answers

Answer:

It's the first one

Step-by-step explanation:

To find the price per pound, you have to divide 4.50 by 5, which you then compare to $0.80

Answer:

its a in edg

Step-by-step explanation:

just took the test peace out home fry

can you. pls. solve for X?​

Answers

Answer:

x = 173

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

90+30=120

180-120=60

x+67=60

x=-7

-2x - 2y =-10 and 9x + 7y = 49

Answers

Answer:

I think it is 49

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

find the value of sin 0 in each of the following figures.​

Answers

Answer:

sinθ = [tex]\frac{8}{10}[/tex]

Step-by-step explanation:

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex]

Answer:

sin theta=p/h

=BC/AC

=8cm/10cm

=4cm/5cm

Hope it helps you.

Find the product.
(1.2) x (0.11)

Answers

Answer:

0.132

Step-by-step explanation:

1.2 * 0.11 = 0.132

Answer:

.132

Step-by-step explanation:

So take away the decimal on both for a second and then multiply then on the answer move the decimal over 3 times there is your answer

Select the correct
inswer
Which term is a term in this expression?
-3x - 7(x + 4)
A.-3
B. 3x
C.-7
D. X+4

Answers

just plug it in and check— trust me, best trick in the book. for this one, there’s no need.

what is a term? it’s when the variable is on a constant— 3x

maria pays 15.20 for 5.3 pounds of candy what is the price per pound of candy

Answers

Answer:

$2.90 per pound

Step-by-step explanation:

You must divide the total from the amount bought.

15.20/5.3 = 2.8679245283

Next, you round the number by the first 2 decimals.

2.86 = 2.90 - The answer

Check if you need to make sure the answer is correct

Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.

Answers

Answer:

Riko is wrong because she uses the wrong formula.

Step-by-step explanation:

Given the coordinate points (-2, -3) and (2, -5)

We are to find the distance between the two points

Using the formula:

D = √(x2-x1)²+(y2-y1)²

From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5

Substitute

D = √(2-(-2))²+(-5-(-3))²

D= √(4)²+(-2)²

D = √16 + 4

D = √20

D = √4*√5

D = 2√5

This shows that Riko is wrong because she uses the wrong formula.

Answer:

No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation:


A watch was on sale for 70% off. The sale price is $60. What was the original price?

Answers

Answer:

78 dollars

Step-by-step explanation:

How would you use distrubutive property for the eqaution 3(x+y)
ANSWER FAST PLSSSSS WORTH 50 BRAINLY POINTS

Answers

Answer:

3(x+y)

=3x+3y

Here he have to multiply 3 with x and y.

Answer:

please mark me brainliest and follow me my friend.

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