A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer 1

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer 2

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:


Related Questions

yo does addiction "run in the family"? i really want to know because it does in mine and im kinda freakin out

Answers

Answer:

Indeed yes homie.

Step-by-step explanation:

i really don’t understand this and i need help so if you can pls help

Answers

Answer:

1537500

Step-by-step explanation:

it should be that. all you do is multiply 615000 by 2.5

Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?

Answers

Answer: 18.72

Step-by-step explanation:

14.40*1.3

Answer: 48$ was the original price of the sweater.

Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4

Simplify 1 -3(4x - 8)

Answers

Answer:

25 - 12x

Step-by-step explanation:

1 - 3(4x - 8)

1 - 12x + 24

25 - 12x

Insta: 25k_kem

Answer:

[tex]1 - 3(4x - 8) \\ = 1 - 12x + 24 \\ = - 12x + 25 \\ - 12x = - 25 \\ x = \frac{25}{12} \\ = 2.08[/tex]

Which equation best represents the line? (4 points)

Answers

what line....??????????
we need to know what the line is

Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}

Answers

Answer:

D

Step-by-step explanation:

you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!

=
Solve for x.
18+x=y
x = 0
?

Answers

18

have a nice day!!!

Answer:

The answer is 18

Step-by-step explanation:

18 + x really means 18 + 0, because x is equal to 0

and if 18 + x = y, it means 18 + 0 = y,

so y is equal to 18

hope this helped!

please help, needed to graduate!!

Answers

Answer:

its b

Step-by-step explanation:

i just did that question last period

Guided Practice


Find the range of the function rule y=5x−2 for the domain.

{−1/2, 1/4, 2/5}

A.
{−1/2, 3 1/4, 4}

B.
{3/10, 9/20, 12/25}

C.
{− 4 1/2, −3/4, 0}

Answers

Answer:

C.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

C

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function, it gives the answers in option C

solve 3-²
I need work shown​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }\bold{3^{-2}}[/tex]

[tex]\large\text{Lets convert }\bold{3^{-2}}\large\text{ into }\bold{3^2}\large\text{ temporarily...}[/tex]

[tex]\large\text{Equation:} \bold{\dfrac{1}{3^2}}\\\\\bold{= \dfrac{1}{3\times3}}\\\\\bold{3\times3\rightarrow9\leftarrow\ solving\ for\ your\ DENOMINATOR\ (bottom\ number)}\\\\\bold{= \dfrac{1}{9}}\\\\\boxed{\boxed{\large\text{Answer: }\bold{\dfrac{1}{9}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió​

Answers

Answer:

if you can transfer to englis i may be able to help

Step-by-step explanation:

Expressions that simlify to the same expression are called

Answers

Answer:

Eqivelent expressions

Step-by-step explanation:

also dis

Enter a number.
The measure of angle 7 is ___°

Answers

Answer:

151 ig

Step-by-step explanation:

vertical angles are equall

Answer:

151

Step-by-step explanation:

The expression is equivalent to . What is the value of n?

Answers

Answer:

?

Step-by-step explanation:

A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short vertical support.

Answers

Complete question :

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.

What is the length x of a diagonal support, to the nearest tenth of a foot?

Answer:

13.80 feets

Step-by-step explanation:

Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :

To obtain x :

Sinθ = opposite / hypotenus

Opposite = 12.5 feets ; hypotenus = x ; θ = 65°

Sin 65 = 12.5 / x

0.9063077 * x = 12.5

x = 12.5 / 0.9063077

x = 13.792225

x = 13.80 feets

a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume

Answers

1 x 8 x 90 = 720cm^3

Please help!! Help.

Answers

Step-by-step explanation:

1. Cosine

2. Relationship is Cos = adj/hyp

3. x is 14

4. The hypotenuse of the triangle is 14cm long

what is the area of 17.3 feet , 13.4 feet and 10.7 feet

Answers

Answer:

2480.475

Step-by-step explanation:

just do the length times width times the height

yao ming is 7 feet 6 inches tall.
how many inches tall is yao ming
A.6
B.76
C.84
D.90

Answers

Answer:

90

Step-by-step explanation:

There are 12 inches in a foot.

So you will take the 7 feet and multiply it by 12

This gives you 84 inches

You then take the 6 inches over the 7 feet and add to the 84 inches

Thus you get 90 inches.

Answer: First off, tall guy. Second, the answer is 90, or D.

Step-by-step explanation:

there are 12 inches in a foot. Take the 12 and multiply it by 7. then add the 6 remaining inches to the 84.

Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

Answers

Answer:

the answer would be 66 minutes

Answer:

66 minutes was correct for me

Step-by-step explanation:

math

solve x best aw gets brain​

Answers

you would equal them both to each other to find the answer of x=32

Answer:

x=32

Step-by-step explanation:

The explanation is in the picture. Whenever you want to check your answer plug that number in.

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

volume = 254.34 cubic inches

Step-by-step explanation:

r = diameter /2 = 6/2 = 3 in

h = 3 × r = 3 × 3 = 9

volume = pi× r^2 × h

3.14 × 3 × 3 × 9254.34 cubic inches..

what is perimeter of the figure 115.14cm​

Answers

Answer:

115.14 x 4 = 460.56 cm

Step-by-step explanation:

A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold

Answers

Answer:

[tex]300[/tex]

Step-by-step explanation:

[tex]8 \times 7 \frac{1}{2} \times 5 \times = 300[/tex]

The rectangular plant can hold the volume of potting soil is 300 cubic inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The rectangular plant holder is in the shape cuboid.

Length of the rectangular plant,l = 8 inches

Width of the rectangular plant,w = 7 1/2 = 15/2 inches

Height of the rectangular plant,h = 5 inches

The formula of volume of cuboid is

[tex]V=lwh[/tex]

⇒ [tex]V= (8)(\frac{15}{2} )(5)[/tex]

⇒ [tex]V=300[/tex]

Hence we can conclude that the rectangular plant can hold the volume of potting soil is 300 cubic inches.

Learn more about cuboid here

https://brainly.com/question/46030

#SPJ2

Which expression is equivalent to x-3x-(-5x)?

A. -9x B. -7x C. 2x D. 3x
HELP!!!! SHOW YOUR WORK WILL GIVE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

x-3x-(-5x)=-2x+5x=3x

Answer:

D

Step-by-step explanation:

[tex]x-3x-(-5x)[/tex]

it will be easier to solve the equation in sections:

[tex]x-3x[/tex]

[tex]-2x[/tex]

now deal with the other part

[tex]-(-5x)[/tex]

a negative multiplied by a negative equals a positive so:

[tex]+5x[/tex]

now putting the parts together:

[tex]-2x+5x[/tex]

[tex]3x[/tex], therefore the answer is d: [tex]3x[/tex]

Please answer 1 and 2

Answers

Answer:

Colleen pays 8 cents morePaulo read 2 more nonfiction books

Step-by-step explanation:

Q2

Colleen pays 7% tax:

$20*0.07 = $1.4

Brad pays 6% tax:

$22*0.06 = $1.32

The difference is:

$1.4 - $1.32 = $0.08

Colleen pays 8 cents more

Q3

Paulo read nonfiction books:

35% of 40 books = 40*0.35 = 14 books

Paulo read 14 - 12 = 2 more nonfiction books

HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Length = 6 inches

6 inches it in the picture

Emily is buying a board game that is on sale. The regular price of the board game is $24.50,
but the store is offering a $9 discount. Emily wants to know the sale price of the board game.

Answers

Answer:

the sale price of the game is $15.50

Step-by-step explanation:

$24.50-$9=$15.50

Answer:

sale price is 15.50

Step-by-step explanation:

I did the I-ready already

Do these ratios form a proportion? 34¢ for every 44 units 17¢ for every 22 units

Answers

Yes bc 22 times 2 = 44 and 17 times 2 =34

If you don’t know the answer pls don’t reply but if you do please tell me thank you.

Answers

Answer:

the answer will be B or C hope that helps

Step-by-step explanation:

the answer will be B or C hope that helps

Answer:

A) 12

Step-by-step explanation:

3/2=x/8

cross multiply

2x=24

x=12

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