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

Write 5^3 as a product of the same factor.

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Step-by-step explanation:

The expression 17x is equivalent to the expression x 7.

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Answer:

False

Step-by-step explanation:

There is not a one in the 2 expression listed

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Answer:

Red

Step-by-step explanation:

Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6

Answer:

y = 4x - 6

Step-by-step explanation:

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-2y = -8x + 12

-2y/-2 = -8x/-2 + 12/-2

y = 4x - 6

Magda is going to finance her car purchase using an auto loan which statement below is accurate

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Answer:

where are the answer choices

Answer:

The statement that is accurate is:

"Her principal is the cost of the car, minus any down payment she makes."

Step-by-step explanation:

If it takes 3 gallons of gas to travel 90 miles, how many gallons of gas does it take to travel 240 miles?

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Answer:

8 gallons

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.



Find the value of x.
A. 18
B. 22
C. 24
D. 28

Answers

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

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A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction

Answers

Answer:

0.8%

Step-by-step explanation:

Number of people had mild allergic attack = 72

% of people who had mild allergic attack = 72/9000 × 100%

                                                               = 0.8%(Answer)

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Answer:

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Step-by-step explanation:

becuase o=boice

In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater.

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Answer:

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Rearrange x = 3g + 2 to make g the subject g=?

Answers

Step-by-step explanation:

x=3g+2

you need to move the equation to the other side, first you'd start with the one furtherest from g, which is is 2.

x = 3g

-2. - 2

and minus it from both sides

x-2=3g

3g is like 3x, which is 3 times x and you need to use the opposite operators so times would become divide.

so now it becomes x-2 over 3=g

if you answer some of them ill appreciate it ( you don't have to answer all of them )​

Answers

Answer:

1) 23, 3, 13

2) 7, 13, 18

3) 9, 6, 77

4) 39, 8, 46

5) 13, 1, 32

6) 45, 9, 54

7) 14, 45, 30

8) 25, 10, 39

Step-by-step explanation:

Left to Right

227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3

Answers

Step-by-step explanation:

227.4 + 213.5  = 440.9

513.9 – 46.1  =  467.8

348.2 + 62.8  = 411

637.9 – 206.3   = 431.6

Answer:

1: 440.9

2: 467.8

3:  411

4: 431.6

Hope this helps.

Answer:

1.  440.9

2. 467.8

3.  411

4.  431.6

Step-by-step explanation:

Need help with this math problem

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
So it’s D= -5y^2

Which number is irrational?

Answers

Answer:

The square root of 3

Step-by-step explanation:

c last answer

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

It cannot be written as a fraction.

Hope this helped, make sure to make this brainiest, thank you.

find the measurement indicated in each parallelogram first one says 60 and second says 79 please help !

Answers

Answer:

1. 60+X=180(adjacent angles of parallelogram)

X=120

2. X=79(opposite angles of parallelogram)

A parallelogram = 360°
Angles P and R are congruent so
P & R both have a value of 60°
60x2= 120°
360-120=240° are left
Angles S and Q are also congruent so divide 240 by two
240/2=120°
Answer 1.)Q=120°

Again it equals 360° total
Angles X and V are congruent so
X & V both have a value of 79°
Answer 2.) V=79°

Fellow brains pls help.... Is this true or false?

Answers

Tis true my friend

Y=x anything means True

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Answers

Answer:

yes

Step-by-step explanation:

It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?

Answers

the answer would be 3n+60

Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0

Answers

Answer:

lesser x = -1.84lesser x = -8.16

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so

lesser x = -1.84lesser x = -8.16

(3x+15) (2x)

Help pls

Answers

Answer:

(

3

+

1

5

)

(

2

)

(3x+15)(2x)

(3x+15)(2x)

Simplify

1

Distribute

(

3

+

1

5

)

(

2

)

3

(

2

)

+

1

5

(

2

)

Solution

3

(

2

)

+

1

5

(

2

)

Step-by-step explanation:

Answer:

[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]

(6x+9)−(7x+1) find the difference

Answers

answer: -x+8
explanation: it’s in its simplest form because it cannot be factored
ANSWER: -x + 8

Explanation:

(6x+9)-(7x+1)
remove parentheses and change the sign of each term of expression whenever there is a - in front of an expression in parentheses

6x+9-7x-1
collect like terms
-x+9-1
subtract the numbers
-x+8

Find the slope of the line through (9, 4) and (0, 5).

Answers

Answer:

It's just y2-y1 over x2-x1

Step-by-step explanation:

so pick a coordinate and make it 1 and make the other one 2  and put in the numbers.

The slope of the line will be m = -1/9.

What is the general equation of a Straight line?The general equation of a straight line is -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

(y - y₁) = m(x - x₁)                                {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                        {Normal form}

We have a line through (9, 4) and (0, 5).

The slope of the line will be -

[m] = (4 - 5)/(9 - 0)

[m] = - 1/9

Therefore, the slope of the line will be m = -1/9.

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Calculate these, and write each awnser in Standard Form.

Answers

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

can somebody good at math help me with these please I would really appreciate it

Answers

Answer:

down below:)

Step-by-step explanation:

sale price    discount

                    1. multiplied by 0.82

                    2. multiplied by 0.75

                    3. multiplied by 0.9

1. 18.45

2. 30

3.  23.4

CAN YOU PLEASE HELP ME ?

Answers

Answer:

Where is the question we can help you with

how do you do this equation ?
solving inequalities
8 ≤ 2x < x + 7

Answers

Answer:

4≤x<7

x€[4,7)

Step-by-step explanation:

8≤2x<x+7

=>8≤2x

=>2x<x+7

x≥4

x<7

therefore

4≤x<7

x€[4,7)

Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.

Answers

The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have:

First expression:

[tex]\rm 4x^2-4x+10[/tex]

Second expression:

[tex]\rm 2x^2+5x-8[/tex]

Let's denote the sum of these two expressions with F(x)

[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]

Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

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Find the length of side A

Answers

Answer:

D) 4

Step-by-step explanation:

Identify the constant of proportionality from the table.

Answers

It’s A. 9 the equation is y=9x+0

Answer:

A. 9

Step-by-step explanation:

A P E X

A student observes a difference in the activity level of fish at a pet store. The fish in an aquarium near the window are swimming around more quickly tha the fish in an aquarium placed in the back of the store. The student forms a hypothesis about the effect of sunlight on fish activity levels and arranges to conduct an experiment. Which variable could be an independent variable in the student's experiment? types of fish sold speed of swimming fish amount of time fish were active temperature of water in fish tank​

Answers

Answer: Types of fish sold

The type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

What are Variables?

A variable is any kind of characteristic, number, or quantity which can be measured or counted. It can also be called a data item. Examples of variables are age, sex, occupation income and expenses, country of birth, capital expenditure, class grade, eye color, and vehicle type.

There are two types of Variables are:

1. Dependent variable

A dependent variable is a type of variable which changes as the result of independent variable manipulation which is the outcome interested in measuring, and it "depends on" the independent variable.

2. Independent variable

An independent variable is the type of variable which is manipulated or varied in an experimental study in order to detect its effects. This is "independent" because it is not affected by any other variable in the study.

In above case, this is independent because types of fish characteristic is not dependent for the experiment.

Thus, the type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

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