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]
3 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]3 years ago
8 0

Answer:

sénsya po need ko po talaga ng points

USPshnik [31]3 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
A family spent $65 on dinner and left a 20% tip. What was the total cost of their meal?
Oxana [17]

Answer: B, $78

Step-by-step explanation:

If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.

20% x 65 = 13. So the tip for the dinner is 13 dollars.

Now we have to add it to the original dinner cost.

65 + 13 = 78.

Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!

7 0
3 years ago
Read 2 more answers
Annie buys a picnic table priced at $407. If the sales tax is 6%, what will be the total cost including tax?
Oksi-84 [34.3K]

Answer:

-$407

-tax:6%

407 times 6 divided by 100

413/100

4.13

407 plus 4.13

$411.13

3 0
2 years ago
Tim’s height is 1m 20cm and Erica’s height is 1m. What is the simplified ratio of Tim’s height to Erica’s height?
Sholpan [36]

Tim is 20 cm higher on height

5 0
3 years ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
alexgriva [62]

Answer:

x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

OR x^9/(∛y)

Step-by-step explanation:

Given the indicinal equation

(x^27/y)^1/3

To find the corresponding expression, we will simplify the equation as shown:

(x^27/y)^⅓

= (x^27)^⅓/y⅓

= {x^(3×9)}^⅓/y⅓

= x^9/y⅓

= x^9/(∛y)

The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)

6 0
3 years ago
Read 2 more answers
Find the sum or difference 5/6 + 4/9
Naily [24]
The closest option to the actual answer is a.

1 5/18 is the actual answer.

If you make both the denominators the same, then you can actually add the fractions together.

To make both of the denominators the same, you need to multiply 5/6 by 9 and 4/9 by 6, which would result in 45/54 + 24/54= 69/54 = 23/18. If we convert it to a mixed fraction, it would result into 1 5/18.
6 0
3 years ago
Other questions:
  • What is 1 plus 6 mines 2 plus 5
    15·2 answers
  • In the diagram, which angles are vertical angles? Select
    10·2 answers
  • Graph the equation. (x + 3)2 + (y + 2)2 = 16
    14·1 answer
  • What do you know about the lengths of the sides of a horizontal cross section of a pyramid
    11·1 answer
  • Gcf of 18,276 and 25, 497
    7·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    15·2 answers
  • What is the sample space of answering a true or false question?<br> a. 1<br> b. 2<br> c. 4 <br> d. 5
    7·2 answers
  • Simplify the expression using distribution.
    8·2 answers
  • Help with this please!!
    14·2 answers
  • How to integrate absolute value.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!