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
sashaice [31]
3 years ago
10

An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of

325°. What are the plane's actual speed and direction angle?
Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Answer:

Actual speed = 288 miles per hour

Actual direction angle = 116.38^\circ

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.  

Heading the the direction the nose of the plane is pointing.  

Course is the direction that pilot wants the plane to go.  

Wind direction is always the direction the wind is blowing from.  

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.  

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.  

 325^{\circ}- 110^{\circ} =225^{\circ}

215^{\circ}- 180^{\circ} =35^{\circ}

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.  

The tailwind component is:

56 cos (35^\circ)

And the cross wind component is:

56 sin (35^\circ)  


And that is,

C^2 = (286)^2 + (32)^2


c = 288

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ

So the actual direction angle is 110^\circ+ 6.38^\circ=116.38^\circ.

You might be interested in
What is ...
Brut [27]
\dfrac{14+a}{13}=12
14+a=13\cdot 12
14+a=156
a=156-14
\boxed{a=142}
8 0
3 years ago
Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified clas
posledela

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

3 0
3 years ago
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
BaLLatris [955]

Answer:

Vertex = (\frac{1}{2},\frac{7}{4})

Step-by-step explanation:

Given

f(x) = x^2 - x +2

Required

The vertex

We have:

f(x) = x^2 - x +2

First, we express the equation as:

f(x) = a(x - h)^2  +k

Where

Vertex = (h,k)

So, we have:

f(x) = x^2 - x +2

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

f(x) = x^2 - x +2

f(x) = x^2 - x + (-\frac{1}{2})^2+2  -(-\frac{1}{2})^2

f(x) = x^2 - x + \frac{1}{4}+2  -\frac{1}{4}

Expand

f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2  -\frac{1}{4}

Factorize

f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2  -\frac{1}{4}

Factor out x - 1/2

f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}

f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}

Compare to: f(x) = a(x - h)^2  +k

h = \frac{1}{2}

k = \frac{7}{4}

Hence:

Vertex = (\frac{1}{2},\frac{7}{4})

8 0
3 years ago
Read 2 more answers
The scatter plot shows the number of perishable and nonperishable items customers purchased at a market.
dmitriy555 [2]

Based on the scatter plot on perishable and nonperishable items purchased by customers, the following is true:

  1. Purchased 5 nonperishable items - 3 people.
  2. Median number of perishable items = 7 perishable items.
  3. People bought same number of perishable and nonperishable = 2 people.
<h3 /><h3>What does the scatterplot show?</h3>

Looking at the y-axis which shows the number of nonperishable items bought, the number of dots we find at 5 is 3 which means 3 people bought 5 nonperishable items.

The median of perishable items requires that we order the perishable items bought:

2, 2, 5, 6, 7, 8, 9, 10, 11

The median is 7 perishable items.

The number of people with the same number of perishable and nonperishables are 2 people.

One purchased 8 nonperishables and 8 perishables and the other purchased 9 of both items.

Find out more on scatterplots at brainly.com/question/7802890.

#SPJ1

4 0
2 years ago
If you multiply a number by 3 and then subtract 5, you will get 40 what is the number
Paul [167]

Answer:

Number  = 15.

Step-by-step explanation:

Given : If you multiply a number by 3 and then subtract 5, you will get 40.

To find : what is the number.

Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.

According to question :

Let the number =  x

Multiply is with 3 = 3x

Subtract 5 from it we get 40 .

3x -5 = 40

On adding both sides by 5

3x = 45 .

On dividing both sides by 3

x =  15.

Therefore, Number  = 15.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Julia has 19 apples she want 15 more that 19 But less then 16
    9·1 answer
  • Complete the equation of the line whose slope is -2 y-intercept is (0,3)
    14·1 answer
  • It's #25 guys. Show your work!
    15·1 answer
  • You bought a 5 pound turkey for 14.45. How much would a 7 pound turkey cost?
    15·2 answers
  • The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards ea
    8·1 answer
  • What’s the correct answer for this question?
    8·1 answer
  • If the simple interest on ​$1000 for 5 years is ​$250, then what is the interest​ rate?
    6·2 answers
  • The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
    6·1 answer
  • According to the graph, what is the value of the constant in the equation
    5·1 answer
  • HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. W
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!