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
allochka39001 [22]
2 years ago
10

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6

0,0), where unit distance on the coordinate plane is measured in miles A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 100 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?
Mathematics
2 answers:
irina1246 [14]2 years ago
8 0

Answer:

sénsya po need ko po talaga ng points

USPshnik [31]2 years ago
7 0

LORAN follows an hyperbolic path.

The equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

The coordinates are given as:

\mathbf{(x,y) = (-60,0)\ (60,0)}

The center of the hyperbola  is  

\mathbf{(h,k) = (0,0)}

The distance from the center to the focal points is given as:

\mathbf{c = 60}

Square both sides

\mathbf{c^2 = 3600}

The distance from the receiver to the transmitters  is given as:

\mathbf{2a = 100}

Divide both sides by 2

\mathbf{a = 50}

Square both sides

\mathbf{a^2 = 2500}

We have:

\mathbf{b^2 = c^2 - a^2}

This gives

\mathbf{b^2 = 3600 - 2500}

\mathbf{b^2 = 1100}  

The equation of an hyperbola is:

\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}

So, we have:

\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}

\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Hence, the equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Read more about hyperbolas at:

brainly.com/question/15697124

You might be interested in
8 divided by 0.61 show me how you solved it
garik1379 [7]
8/0.61=13.114… then round if needed
5 0
2 years ago
the gross income is $215 per week the deductions are $15.16,$29.33,2%,1%,and 3% what is the net income
Naddik [55]
State tax = 2% of $215 = 0.02 x $215 = $4.30
city tax = 1% of $215 = 0.01 x $215 = $2.15
retirement fund = 3% of $215 = 0.03 x $215 = $6.45

Total deductions = $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39

Net income = $215 - $57.39 = $157.61
8 0
2 years ago
Please answer this correctly
creativ13 [48]
13:48. this is because the number of cars with a sunroof is 13 to the total number of cars which is 48
7 0
3 years ago
Someone help please. A sports website writing team tries to predict the number of visits to their site based on the number of po
dimaraw [331]

Answer:

The scatter plot shows a positive correlation because the number of website visit increases as the number of posts increases

Step-by-step explanation:

The scatter plot shows a positive correlation because the number of website visit increases as the number of posts increases

6 0
2 years ago
Find the quotient of 9 divided by 5/8 .
MissTica

9 / 5/8 =

9/1 / 5/8 =

9/1 * 8/5 = 72/5 = 14 2/5

5 0
3 years ago
Other questions:
  • #2 , #4 , #6 , #8 , #10 please
    11·1 answer
  • Slope is 0<br> Graph that shows that slope
    10·1 answer
  • Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to
    15·1 answer
  • The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. According to the graph, what is
    5·1 answer
  • 10 is a solution to 3x + 1 = 10 because
    15·2 answers
  • To find the result when
    12·1 answer
  • Find the length of the third side. If necessary, round to the nearest tenth. 8 10​
    8·1 answer
  • Work out 50 as a percentage of 10<br> 5%<br> A<br> 20%<br> B<br> 400%<br> C<br> 500%<br> D
    13·2 answers
  • A cereal box has a length of 4 inches, a width of 5 inches,
    9·2 answers
  • X + 5 + (-1) = -5x - 1
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!