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
Inga [223]
3 years ago
6

An airplane is flying 600 mph on a horizontal path that will take it directly over an observer. The airplane remains a constant

altitude of 7 miles. What is the rate of change of the distance between the observer and the airplane when X = 5 miles?
Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
<h2>Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph</h2>

Step-by-step explanation:

We have by Pythagoras theorem

       Distance between the observer and the airplane² = Horizontal distance² + Altitude²

        d² = h² + a²

Here we have

          h = X = 5 miles

          a = 7 miles

          d² = 5² + 7²  = 74

          d =8.60 miles

          \frac{dh}{dt}=600mph\\\\\frac{da}{dt}=0

Differentiating d² = h² + a² with respect to time

            2d\frac{dd}{dt}=2h\frac{dh}{dt}+2a\frac{da}{dt}\\\\8.60\frac{dd}{dt}=5\times 600+7\times 0\\\\\frac{dd}{dt}=348.84mph

Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph

You might be interested in
How to convert to vertex form
kaheart [24]
<span>The vertex form of a quadratic is given by. y = a(x – h)2 + k, where (h, k) is the vertex. The "a" in the vertex form is the same "a" as. in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.</span><span>
</span>
7 0
3 years ago
Please help 15 points i will give u
Umnica [9.8K]
The answer is c i think
8 0
3 years ago
Which is the graph of the linear equality 2x-3y&lt;12
WINSTONCH [101]

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

7 0
3 years ago
The sum of two consecutive whole numbers is 97 what are the two numbers?
gtnhenbr [62]

97/2 = 48.5

take the whole number below and above that

48 + 49 = 97


6 0
3 years ago
Which expression shows the sum of the polynomials with like terms grouped together? 10x^2y+2xy^2-4x^2-4x^2y
KIM [24]
The answer to the question

5 0
4 years ago
Read 2 more answers
Other questions:
  • I don't understand this. help please?
    10·1 answer
  • explain how knowing the order helps you write a word expression for a numerical or algebraic expression
    13·1 answer
  • Quadratic Equations of the form ax²+ b×+ c=0<br> ײ+3×-54=0 ?
    8·1 answer
  • The equation of the piecewise function f(x) is below. What is the value of f(3)
    14·1 answer
  • Solve: 1/4 of x is 6 =
    14·2 answers
  • I'm studying for a test and I need help with percentages I don't understand it at all. for example A pair of shoes was $56 and i
    6·1 answer
  • What is the solution to |-x| = -10
    9·1 answer
  • Which expression is equivlant to 1/4n
    15·1 answer
  • When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the d
    5·1 answer
  • Find the surface area of the cylinder and round to the nearest tenth. (Use the π button on your calculator)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!