"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".

Answers

Answer 1

Answer:

vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta  [tex]= 22.95[/tex]

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta

[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]


Related Questions

I really need help really fast!!!

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Answer:

-3 sqrt 2 or -4.242640687

Step-by-step explanation:

hi please help i’ll give brainly but please show your work.

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Answer:0.028

Step-by-step explanation: 0.07 x 0.4= 0.028

0.028 is the answer! Hope this helps you!

If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?

Answers

Answer: D

Step-by-step explanation: correct on edg 2021

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

Adrianna is two years older than Fernando, while Lucy is triple Fernando's age. If the sum of their ages is eighty-two, how old is Adrianna?

HELPPPP MEEEEE!!!!!!

Answers

27 i think lol :) x byeeeee

Answer:

18

Step-by-step explanation:

x + (2+x)+ (3x) =82

x+x+3x= 82-2

5x=80

x= 16

Fernando is 16

Adrianna is 2 years older so she is 18

And Lucy is 3x 16=48

together 82

If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

Answers

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

M(4,2) is the midpoint of AB and A(-5, -3).

[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]4=\dfrac{-5+a}{2}[/tex]

[tex]8=-5+a[/tex]

[tex]8+5=a[/tex]

[tex]13=a[/tex]

And,

[tex]2=\dfrac{-3+b}{2}[/tex]

[tex]4=-3+b[/tex]

[tex]4+3=b[/tex]

[tex]7=b[/tex]

Therefore, the coordinates of point B are (13,7).

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53

Answers

Answer:

C. 3√5

Step-by-step explanation:

45 = 3 × 3 × 5 considering this the answer is C

Answer:

c

Step-by-step explanation:

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

the scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft

Answers

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Rearrange p=r+3 to make r the subject

Answers

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

6 (8j - 3l + 9 ) 12l + 14j

Answers

Answer:

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Step-by-step explanation:

Answer:

5822j-15972

Step-by-step explanation:

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Answers

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

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Answers

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300π

Step-by-step explanation:

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Answers

C=1.50r would be the correct answer

Consider a right triangle ABC where ZC is
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Answers

Answer:

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Step-by-step explanation:

I need help I can’t understand having the answer is going to help a lot

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Answer:

Step-by-step explanation:

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Answers

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survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
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Answers

Answer:

ll and lll

Step-by-step explanation:

if 20(mod 9) is equivalent to y(mod 6) find y

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Answer:

First, reduce 20(mod 9) to its simplest form in mod 9; 9 x 2 + 2 = 2(mod 9)

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The spinner below is spun. Find the probability,
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Step-by-step explanation:

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yes

Step-by-step explanation:

I'm ready to help anyone in maths

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Answer:

in what sentence all i see is the letters no image above

Need help with math question 8th grade math

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Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

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Answer:

Step-by-step explanation:

x reprsents = 30 nickles

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Please answer the pictures provided

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Answer:

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Step-by-step explanation:

Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of

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Answers

Answer:

Step-by-step explanation:

620.50 * 12 = 7,446

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NEEd HELp ASAP AlGEBRA 1

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Answer:

Step-by-step explanation:

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