A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown surrounding a spherical object labeled, moon. The moon is a sphere with radius of 1000 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 953 km to 466 km.
Answers
Answer:
The correct equation will be "[tex]\frac{x^2}{(1466)^2} +\frac{y^2}{(1953)^2} =1[/tex]".
Step-by-step explanation:
In the above question, the figure is missing. Please find below the attachment of the figure.
According to the question,
Radius of a moon,
r = 1000 km
The max. distance from moon's surface to the satellite,
a = 953 km
The min. distance from moon's surface to the satellite,
b = 466 km
Now,
As per the question or the diagram,
⇒ [tex]a_1=a+r[/tex]
[tex]=953+1000[/tex]
[tex]=1953 \ km[/tex]
⇒ [tex]b_1=b+r[/tex]
[tex]=466+1000[/tex]
[tex]=1466 \ km[/tex]
hence,
The equation of ellipse will be:
⇒ [tex]\frac{x^2}{b_1^2} +\frac{y^2}{a_1^2} =1[/tex]
On substituting all the values, we get
⇒ [tex]\frac{x^2}{(1466)^2} +\frac{y^2}{(1953)^2} =1[/tex]
Related Questions
Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.
Answers
Answer:
Where is the situation?
Step-by-step explanation:
Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.
Reuben L. Goldberg and His Machines
The Artist and His Work
Reuben (Rube) L. Goldberg was an American cartoonist. He is best known for drawing elaborate machines. His drawings showed machines with wheels, gears, handles, pails, and other interesting devices. The machines in Goldberg's drawings were designed to take a simple task and make it complex. The contraptions he drew 80 years ago were so funny that they continue to inspire young scientists and engineers today.
Goldberg's Career
Goldberg's cartoons appeared in several respected New York City newspapers, including the New York Evening Journal and the New York Evening Mail. The cartoonist also wrote a feature film called Soup to Nuts, which was the first film starring the Three Stooges. Goldberg's machines appear in the film.
How to Build a Cause-Effect Machine
Every year students build machines based on Goldberg's designs for school projects, for competitions, or simply for fun. Goldberg's machines operate based on cause and effect. Students and engineers of all ages can learn to build these elaborate cause-effect machines. The key to building one of these machines is to understand how to use gravity and force to push and pull objects along a path. Reading up on these concepts is a good place to start. After that, building the machines is all about having fun. Find a simple task for the machine to do. Then, find a complicated way for the machine to do it.
The Cause-Effect Machine in Popular Culture
Cause-effect machines are incredibly fun to watch. For this reason, they have found their way into Hollywood movies such as Back to the Future and The Goonies. The machines also inspired a board game for kids called Mouse Trap. Clearly, Goldberg's machines have a place in our popular culture.
4
Which section develops the idea that Goldberg's machines help inspire young scientists and engineers?
A.
How to Build a Cause-Effect Machine
B.
The Artist and His Work
C.
Goldberg's Career
D.
The Cause-Effect Machine in Popular Culture
Answers
Answer:
B
Step-by-step explanation:
The Artist and His Work
Determine the value of x.
Question 9 options:
A)
2
B)
2
C)
D)
4
Answers
Answer:
2√2 = x
Step-by-step explanation:
x
---- = sin 45 degrees, or
4
x 1
----- = -----
4 √2
this results in x = 4 / √2 = 4√2/2 = 2√2 = x
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have
4² = x² + x²
2x² = 16
x² = 8
x = 2√2
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?
A. 8s = 9
Or
B. s/9 =8
Answers
I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72
Hope this helps answer some questions that you may have had.
A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour are used ?
Answers
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
1. The rectangle shown is dilated by a scale factor of 3.
Calculate the length of each side of the dilated image.
Answers
Select all the correct answers.
The function represents the cost in dollars of playing a video game in terms of time spent playing in months.
y = 15x +45
What can you interpret from this function?
It costs $15 a month to play the video game.
There is an initial cost of $45 to play the video game.
There is an initial cost of $15 to play the video game.
It costs $45 a month to play the video game.
The y-variable represents the cost in dollars, and the x-variable represents the number of months.
The y-variable represents the number of months, and the x-variable represents the cost in dollars.
Answers
Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
Total = Monthly Cost + Initial Cost
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
15 for the first month (x = 1)30 for the second month (x = 2)45 for the third month (x = 3), and so onOur initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
Please help me??? like im in serious need of help!
Answers
Answer:
16 square miles
Step-by-step explanation:
Hope this helped <3
Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?
Answers
Answer:
She financed $2500
Step-by-step explanation:
If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps
Max and Ben both collect baseball cards. Ben has more baseball cards than Max. The number of baseball cards Max has is m, and the number of baseball cards Ben has is b. Together, Max and Ben have a total of 86 baseball cards. Which of the following expressions is true?
A. m+1 < b+1
B. m-5 > b-5
C. 2m > b+m
D. m/b < 0
Answers
Answer:
A) m + 1 < b + 1
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A chocolate bar says that a
serving size is 1/3 of the bar. How
many servings are in six bars of
chocolate?
Answers
1/3 x 6 = 1/18
Answer:
6/18 or 3/9 they are the same!
Hope this helps! Brainliest thanks!
What is the answer??
Answers
Answer: .41+.34=.75
Step-by-step explanation:
what is the volume of the pyramid?
Answers
Answer:
It is the photo I screenshotted
Step-by-step explanation:
Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=
Answers
Answer:
supplementary
x = 146 degrees
Step-by-step explanation:
Answer:
supplementary
Step-by-step explanation:
Please answer this question
Answers
HELP ME
whoever gets right gets brainly
Picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds, and clubs
not improper fraction
(math)
Answers
Answer: 1/4 chance of picking a diamond
Step-by-step explanation:
13 spades + 13 hearts + 13 diamonds + 13 clubs = 52 total
so 13/52 or 1/4
Complete the following statement
with the correct number.
The sum of the three angles of
any triangle is [?]
Enter
Answers
Answer:
180°
Step-by-step explanation:
According to Angle sum property of a triangle , sum of all the three angles of a triangle equals to 180°
HURRY PLEASE! WILL GIVE BRANLIEST :D
What is the x-intercept of the line with the equation y = 3 x minus 6? a. 2 c. -6 b. -2 d. 3 Please select the best answer from the choices provided A B C D
Answers
Answer:
the answer would be choice A
Answer: The answer is A(2)
Step-by-step explanation:
so for y=3x-6, y=0, x=2 is the x-intercept :)
Parker invests money in an account paying a simple interest of
1.1% per year. If he invests $110 and no money will be added or
removed from the investment, how much will he have in one
year, in dollars and cents?
Answers
Answer:
111.21
Step-by-step explanation:
Took the test
Find the area of the figure. The area is square inches.
please help!
Answers
Answer:
154 inchs
Step-by-step explanation:
22 * 14 divided by 2
MATH HELP
Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.
Answers
Answer:
yes
Step-by-step explanation:
75 out of 135 is 55.6%
a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages
Answers
Answer:
54
Step-by-step explanation:
27pages=4.5minutes
[tex]1 = \frac{4.5}{27} [/tex]
[tex]324 = \frac{4.5}{27} \times 324[/tex]
[tex]324 = 4.5 \times 12[/tex]
324pages=54minutes
Hence, the printer can print 324pages in 54 minutes
Hi everyone! I have a very urgent work so please help me as fast as you could! I beg you. Your immediate action would be kindly appreciated
Answers
Answer:
-3/8
Step-by-step explanation:
PemDas
2/3 x 3/4= 1/2
3/4 x -1/2 = -3/8
full equation is now
1/2 - 1/2 + -3/8
1/2-1/2 =0
-3/8 remains
What is the surface area of the cone? Use 3.14 for pi. Suppose the diameter and the slant height
of a cone are cut in half. How does this affect the surface area of
the cone? 14 cm is the diameter and 21 cm is the slant height
Answers
Answer:
923.16
Step-by-step explanation: so what you is you multiply 14x21 the you take half the raidius and divide by 3.14 and thats how you get your answer.
Which is a zero of the quadratic function f(x) = 16x?? + 32x - 9?
Answers
Answer:
f(x) = 16x2 + 32x - 9
To find the "zeros", set f(x) = 0:
0 = 16x2 + 32x - 9
The equation is solvable by factoring or by using the quadratic formula. The factors (use the "ac" method) are:
0 = (4x-1)(4x+9)
x = 1/4 = 0.25 and x = -9/4 = -2.25
Step-by-step explanation:
The zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25. Thus, the correct answer is option B.
To find the zero of the quadratic function f(x) = 16x² + 32x - 9, we need to solve the equation f(x) = 0.
Setting the equation equal to zero:
16x² + 32x - 9 = 0
To solve this quadratic equation, we can use the quadratic formula:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For our equation, the coefficients are:
a = 16
b = 32
c = -9
Substituting these values into the quadratic formula:
[tex]x = \dfrac{-32\pm\sqrt{32^2-4\times16\times-9}}{2\times16}\\\\x=\dfrac{-32\pm \:40}{32}\\\\x=\dfrac{-32+40}{32},\dfrac{-32-40}{32}[/tex]
Simplifying further:
x = 8 / 32
= 1/4
= 0.25
x = -72 / 32
= -9/4
= -2.25
Therefore, the zero of the quadratic function f(x) = 16x² + 32x - 9 is x = -2.25.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
The complete question is as follows:
Which is a zero of the quadratic function f(x) = 16x² + 32x - 9?
A. x = -5.25
B. x = -2.25
C. x = -1.25
D. x = -0.25
Given tan θ = 12/35 , and 0 ≤ θ ≤ 90°,
which of the following are other
trigonometric ratios for θ? Select
all that apply.
cot θ = 12/35
sin θ = 12/37
sec θ = 37/35
csc θ = 37/35
sin θ = 12/35
cot θ = 35/12
Answers
Answer:
it's 2,3,6
Step-by-step explanation:
Using TOA we know that
oppsoite= 12
Adjacent= 35
Hypotonouse= 37 (12²+35²=c²)
cot adj/opp -- wrong
Sin is opp/hyp -- correct
sec is hyp/adj -- correct
csc is hyp/opp -- wrong
sin is opp/hyp -- wrong
cot --adj/opp -- correct
ASAP
A Ferris wheel at the local fair has a diameter of 52 meters. Which expression can be used to find its circumference, C, in meters
A. C= 26 x π
B. C= 52 x π
C. C= 2 x 52 x π
D. C= 26²π
And how did you get the answwr
Answers
Answer:
it must be C because it has a better explanation
Explain how you can find the side length of a rectangular prism if you are given the volume and the 2 other measurements. Does this process change if one of the measurements is a fraction?
Answers
Answer:
The volume of a rectangular prism can be calculated by the formula:
Volume of a rectangular prism = length * width * heightIf the exercise give us the volume and the two other measurements (width and height), we must simplify the length from the formula showed (remember when a value is multiplying in a side to the equal sign, go to the other side to divide):
(Volume of a rectangular prism) / (width * height) = lengthOr, in other form:
[tex]length=\frac{volume}{width*height}[/tex]At last, the proccess change only a little if one is a fraction, in that case, you should just multiply or divide with that fraction.
Step-by-step explanation:
We're gonna take measurements for the volume, width and height to solve a hypothetical exercise:
Volume = 240 [tex]in^{3}[/tex]Width = 4 inHeight = 12 inWe use the formula in the answer:
[tex]length=\frac{volume}{width*height}[/tex]Replacing the data we obtain:
[tex]length=\frac{240in^{3} }{4 in *12in }[/tex][tex]length=\frac{240in^{3} }{48in^{2} }[/tex][tex]length=[/tex] 5 inchesNow, we're gonna make the a hypothetical exercise where a measurement is a fraction, we can select anyone, in this case will be the width:
Volume = 48 [tex]in^{3}[/tex]Width = 8/3 inHeight = 6 inWe use the same formula and replace again:
[tex]length=\frac{volume}{width*height}[/tex]
[tex]length=\frac{48in^{3} }{\frac{8}{3}in *6 in}[/tex][tex]length=\frac{48in^{3} }{16in^{2} }[/tex][tex]length=[/tex] 3 inchesAs you can see, the process does't change much using fractions, you must only know the correct form to operate these.
Find the volume of this triangular prism. NO LINKS
Answers
Answer:
306 [tex]ft^{2}[/tex]
Step-by-step explanation:
Formula for triangle: bh/2
2 (8*9/2) = 72
Formula for rectange: bh
8*9 = 72
2(9*9) = 162
Add: 72 + 72 + 162 = 306
Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?
Answers
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
[tex]Tickets=800[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$450[/tex] ---- for 1
[tex]Consolation = \$100[/tex] --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 800 * \$2[/tex]
[tex]A_1 = \$1600[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]
[tex]A_2 = \$450 +\$200[/tex]
[tex]A_2 = \$650[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$650}{\$1600}[/tex]
[tex]E(x) = \$0.40625[/tex]
Solving (b): Raffle 2
Given
[tex]Tickets=350[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$150[/tex] ---- for 1
[tex]Consolation = \$50[/tex] --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 350 * \$2[/tex]
[tex]A_1 = \$700[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]
[tex]A_2 = \$150 +\$150[/tex]
[tex]A_2 = \$300[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$300}{\$700}[/tex]
[tex]E(x) = \$0.4286[/tex]