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
Jlenok [28]
4 years ago
12

Two airplanes leave an airport at the same time, one going NW bearing 135 degrees at 415mph and the other going east at 327 mph.

How far apart are the planes after 4 hours (to the nearest mile)?

Mathematics
2 answers:
Drupady [299]4 years ago
4 0

Answer:

Step-by-step explanation:

in 4 hrs

NW plane moves=415*4=1660 miles

East plane moves=327*4=1308 miles

both directions makes angle=90+45=135° with each other.

so we have to find the third side of a triangle opposite 135°

cos~135=\frac{1660^2+1308^2-x^2}{2 \times 1660 \times 1308} \\-\frac{\sqrt{2} }{2} \times 2\times 1660 \times 1308=2755600+1710864-x^2\\ x^2=4466464+2171280\sqrt{2} \approx 4466464+3070654 \approx 7537118\\x=\sqrt{7537118} \approx 2745 miles

arsen [322]4 years ago
3 0

Find the distances of each plane for the 4 hours, then use the law of cosine.

See attached picture:

You might be interested in
The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4 What are the possible dimensions of the classroom?
juin [17]
Answer: The expression factors to (2x - 1)(5x + 4)

In a rectangle the area is L x W. So if we know the area is 10x^2 + 3x - 4, then all we have to do is factor it to find possible values for the L and W.

If you factor the expression by grouping, you will get (2x - 1) and (5x + 4).

Your questions asks for possible dimensions, you could give the two expressions as dimensions.

If you wanted to select a value for x, you could plug it in and get values that could be dimensions.

For example if you let x = 10, you would have a rectangle that has a width of 19 and a length of 54.
7 0
3 years ago
Which of the following sets of sides does not form a right triangle?
yKpoI14uk [10]

Answer:

7, 24, 26

Step-by-step explanation:

The correct triple should be 7,24,25

8 0
3 years ago
A parallelogram is translated 2 units to the right and 1 unit down and then rotated 90 degrees clockwise about the orgin. Does i
vazorg [7]
Yes because it is a square and if you rotate a square 90 degrees it will stay the same shape 

Have a good day!

6 0
3 years ago
What is the equation of the line that passes through the point (-2,3) and is parallel to the line whose equation is y = 3/2x - 4
Kisachek [45]

Answer:

y = 3/2x + 6

Step-by-step explanation:

y = 3/2x - 4

y-intercept through point (-2, 3):

3 = 3/2(-2) + b

3 = -3 + b

b = 6

Equation of line:

y = mx + b

y = 3/2x + 6

**Parallel line share the same slope, in this case 3/2.

8 0
3 years ago
Please help!!!!! I’ll mark you as brainliest!!!!!!
MArishka [77]
I believe the answer is c
7 0
3 years ago
Other questions:
  • Please help me Ii don't get this answer correctly :)
    15·1 answer
  • Earth is approximately 4.54 * 10^9 years old. Humans are thought to have evolved around 2.5 * 10^5 years ago.
    8·1 answer
  • Determine the surface area of the cylinder below.
    14·1 answer
  • A rectangular tank has a base that is 10 centimeters by 5 centimeters and a height of 20 centimeters. If the tank is half full o
    5·1 answer
  • What is 310.286 rounded to the nearest cent
    5·1 answer
  • (In terms of pi )what's the surface area of a cylinder with a 14cm diameter and a heigth of 18cm.
    9·1 answer
  • What is an altitude of a triangle
    8·2 answers
  • If fx=1-x, which value is equivalent to |f(i)|
    7·1 answer
  • A movie theater is 10 blocks north and 5 blocks east of a post office. A mall is 7 blocks north and 9 blocks east of the post of
    13·1 answer
  • Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!