An airplane is flying in the direction of 30 degrees South of East at 500 mph. A wind is blowing in the direction of 45 degrees North of East at 55 mph. Find the direction angle of the airplane’s path, adjusted for the wind.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

An Airplane Is Flying In The Direction Of 30 Degrees South Of East At 500 Mph. A Wind Is Blowing In The
Answer 2

The angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ

what is vector?

A vector is defined as a quantity which has two independent properties magnitude and direction.

î & ĵ denote two unit vectors along East & North directions respectively.

V1 denotes velocity vector direction of  airplan of 30 degrees South of East at 500 mph

V2 denotes velocity vector wind the direction of 45 degrees North of East at 55 mph

V denotes the actual velocity vector of the given plane.

Hence from above data we get following descriptions,

V1 = 500.(sin 30°).î + 450.(cos 30°).ĵ

= 500.(1/2).î + 500(√3/2.ĵ

= 250î + 250√3ĵ

V2 = 55(sin 45°).î - 55(cos 45°).ĵ

= 55[1/√2].î - 55[1/√2]ĵ

V = V1 + V2

= 250î + 250√3ĵ +55[1/√2].î - 55[1/√2]ĵ

= 250î +55[1/√2].î + 250√3ĵ - 55[1/√2]ĵ

= [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ

Hence the angle of the airplane’s path is = [tex](\frac{250\sqrt{2}+55}{\sqrt{2}} )[/tex]î +[tex](\frac{250\sqrt{6}-55 }{2})[/tex]ĵ

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Related Questions

Question in picture pls hurry im timed

Answers

Answer:

256

Step-by-step explanation:

4*4*4*4=256

Hope this helps!!

Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees

Answers

Answer:

90°

Step-by-step explanation:

Given the trigonometry equation;

[tex]2sin^2 x -sinx -1 =0[/tex]

Step 1; Let p = sin(x) to have;

[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]

Step 2: factorize the resulting quadratic equation:

[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]

Step 3: Find x:

when p = 1

sin(x) = 1

[tex]x = sin^{-1}1\\x = 90^0[/tex]

also when p  -1/2

sin (x) = -1/2

[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]

[tex]x = 180-30\\x = 150^0[/tex]

Since 150° is not within the range 0<x<90, then the only solution is 90°

What is Two-thirds divided by one-sixth?

Answers

Answer:

4

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Please help! I will give brainlist, if I can

Answers

It is B glad I could help!

your awnser is C

Step-by-step explanation:

cause you'll need to multiply 1.05 × 15 then divide by 100

How do I find the missing sides in the triangle?

Answers

Answer:

x=14   y=10

Step-by-step explanation:

This is really hard can anyone help it's due in 20 minutes

Answers

Answer:

The answer would be B if right mark brainliest

Answer:

I believe it's A

Step-by-step explanation:

write the missing decimal so the each pair adds to 1

Answers

Answer:

top one is 0.6 bottom one is 0.1

a² + b -c for a = 2 b = (-9) c = 4

Answers

Answer:

-9

Step-by-step explanation:

4+(-9)-4

4+(-13)

-9

Answer:

-9

4 + -9 - 4

4 + -9 + -4

4 + -13 = -9

Asapppp, plssss help meee :(

Answers

D because the x coordinate 1 has multiple y’s

3x-9=x-8
what is X??​

Answers

Answer:

x=½

Step-by-step explanation:

3x-9=x-8(Group like terms)

3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).

2x=1(Divide both sides by 2)

x=½

Answer:

0.5

Step-by-step explanation:

3x-9=x-8

3x=x-8+9

3x=x+1

3x-x=+1

2x=+1

x=1/2

x=0.5

What method would i use to solve this?

Answers

I think it’s 3 at least from my knowledge

please help i am desperate.

Answers

Answer:

3y +9 = perimeter

Step-by-step explanation:

Answer:

4y+9

Step-by-step explanation:

To find the perimeter , you have to add up all the 4 sides

so y + y+2 + y+4 + y+3 = 4y+ 9

hope it helps

Which is the equation of a line that has a slope of 4 and passes through point (2,5)?

y= 4x-2
y= 4x+6
y=4x+2
y=4x-3

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)

Answer: D

Step-by-step explanation:

Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?

Answers

I need to see the graph in order to anwser

Answer:

c is the answer

Step-by-step explanation:

What is 3÷4? Draw a diagram that explains how you know.

Answers

Answer:

3 divided by 4 is 0.75

Step-by-step explanation:

Answer:

Answer: 3 divided by 4 is 0.75 .

Step-by-step explanation:

GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel then theo's family

Answers

Answer:

15

Step-by-step explanation:

Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart

50

+15

-------

65

15 is your answer

A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth

Answers

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We are given that 1 light year ≈ 5.9 x  10¹² miles

so: the Coefficients for the problem are mathematically given a

Coefficients =2.4 x 5.9

Coefficients = 14.16

For Exponents;

Exponents=   10² x 10¹² = 10⁽²⁺¹²⁾

Exponents =10¹⁴

In conclusion, we put them together once again to produce a scientific notation;

14.16 x 10¹⁴

1.416 x 10¹⁵ miles

The distance of the earth from the star is; 1.416 x 10¹⁵ miles

Learn more about exponentiation here:

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A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make

Answers

Answer:

they made 3 batchs

Step-by-step explanation:

Just got a 100 point question skim answered HA

Answers

Answer:

THis is not a question

Step-by-step explanation:

Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost? ​

Answers

Answer:

The answer is 125%

Step-by-step explanation:

Fraction calculator  

David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6​

Answers

Answer:

J

Step-by-step explanation:

Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9

Answers

The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.

What is the formula for determination of angle of the resultant vector ?

The resultant angle between the vectors is given by

[tex]\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}[/tex]

The two forces have magnitude of 17.3 and 42.5 pounds.

The angle of the resultant vector is

[tex]\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}[/tex]

[tex]\rm \theta = tan^{-1}[/tex] (6.453/58.55)

[tex]\rm \theta[/tex] = 6.2886 degree = 6.3 degree.

Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.

To know more about Resultant vector angle

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Answer:

6.3 on edge

Step-by-step explanation:

help me thanks . please

Answers

Answer:

0.1 > 10^-2

(I'm pretty sure I'm right. sorry if im wrong :(

Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.

Answers

can i see the question or the picture of it?

b. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
=f
Is there a proportional relationship

Answers

Answer:

No

Step-by-step explanation:

Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).

Here,

In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).

Mathematically, this can be represented as:

f = 1.08p

The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.

This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.

Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.

This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.

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Shala bought a pen on sale. She saved 17 percent of the original price of $29. About how much money did she save?
$1
$5
$10
$20

Answers

$5 ..........................?

Answer:

it is 5

Step-by-step explanation:

At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?

75 people

80 people

65 people

70 people

Answers

Its 75 honestly how i did it was just 25x10 then 3x25 which is 75

A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?

Answers

Answer:

Step-by-step explanation:

12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.

12*2= 24 km/h

Please help me with this

Answers

Step-by-step explanation:

3/4 x 11/11 = 44

7/12 x 5/5 = 35/60

18/72 = 6/6 x 3/12

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Four lines are drawn on a coordinate plane to form trapezoid WXYZ.

A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3).

Which statements are true about the lines? Select three options.

Answers

Answer:

A,C,D

Step-by-step explanation:

Answer:

A C D

Step-by-step explination

it just is

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