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
valkas [14]
3 years ago
14

A plane leaves airport A and travels 570 miles to airport B on a bearing of Upper N 32 degrees Upper E. The plane later leaves a

irport B and travels to airport C 390 miles away on a bearing of Upper S 73 degrees Upper E. Find the distance from airport A to airport C to the nearest tenth of a mile.

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

769.46 miles

Step-by-step explanation:

Please have a look at the photo attached in this answer

The missing part of the angle is 32 degrees, so the total angle of B is:

32 + 73  = 105 degrees.

Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:

x^{2} = 570^{2}  + 390^{2}  - 2(570)(390)cos(105)

<=> x^{2} = 592070

<=> x = \sqrt{592070} = 769.46 miles

You might be interested in
Pls help it says what is volume and how is it measured pls help
solmaris [256]

Volume is the measure of how much space a 3d object takes up (like area for 2d objects). It is measured in cubic parts (5 cubic inches, 12 cubic centimeters). There are many volume formulas. The easiest and most common is of the volume of a rectangular prism, for which you do lenght * width * height..

I hope this answers your question!

8 0
3 years ago
Read 2 more answers
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
vlada-n [284]

Answer:

here is the answer

Step-by-step explanation:

hope it helps

3 0
3 years ago
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
) 1 point 15) At the end of a game, the Wildcats have 2 points and the Lancers have 6 points. Cassie says the Lancers scored 4 m
Mandarinka [93]
Both are correct because 2 + 4 =6 and 2x3= 6
3 0
2 years ago
I need help with part a please. ​
prohojiy [21]

Answer:

130

Step-by-step explanation:

just apply rhe formula of trapezium i.e. 1/2(a+b)h

a is the upper side/base

b is the lower side/base

h is the height

6 0
2 years ago
Other questions:
  • If a sequence starts with 1 then 4 then 9 how many would the next sequence have
    15·1 answer
  • You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance
    10·1 answer
  • How can I convert a fraction into a decimal and a decimal into a fraction?
    11·1 answer
  • 3x10^to the power of negative 1 as a normal number
    8·1 answer
  • What is the mode of 1 2 3 4 5 6 7 8 9 10 11
    6·2 answers
  • Factor completely 5x^2 + 20x
    7·2 answers
  • The prism shown has a volume of 35 cm.
    5·1 answer
  • 6.105x 10^8/3.7x10^3
    8·1 answer
  • PLEASE PLEASE HELP. FRACTIONSSSS
    14·1 answer
  • Find the missing value (x)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!