A jet airliner, flying initially 300 mi/hr due
east, suddenly enters a region where the
wind is blowing 100 mi/hr, pushing the
aircraft in the direction 30° north of east.
What is the resultant speed of the aircraft?

Answers

Answer 1

Answer:

389.82 mi/hr

Step-by-step explanation:

For us to find the resultant speed of the aircraft, we will simply add the vector components of the wind and the vector velocity of the aircraft to get;

V = v_xi^ + v_yj^

Now,

v_xi^ = (300 + 100cos30°)i^

v_yj^ = (100 sin 30°) j^

This gives;

v_xi^ = 386.6 i^

v_yj^ = 50 j^

Thus;

V = 386.6 i^ + 50 j^

Resultant velocity is;

|V| = √(386.6² + 50²)

|V| = √151959.56

|V| = 389.82 mi/hr


Related Questions

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot

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

L + W = 10 --> W = 10 - L

---

L*W >= 20

----

Solve L*W = 20

L*(10 - L) = 20

-L^2 + 10L - 20 = 0

Math question! I don't understand! can I have an explanation?​

Answers

Answer:

linear monomial

Step-by-step explanation:

A(b) is a function.


. A(b)
A. True
B. False

Answers

Answer:

B

Step-by-step explanation:

NOTE:

it might be wrong since im in geometry, not algebra, i used to know this

What goes on the green box ?

Answers

Answer:

5^9 / 5^3 = 5^6

the answer is 6

Step-by-step explanation:

Find the area of this triangle. Round to the nearest tenth. 9.5 yd 23 yd



Please help!

Answers

Answer:

[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]

Step-by-step explanation:

I hope this helps ^_^

The area of the triangle is 108.7 square yards.

What is the area of the triangle?

Let a, b, and c is the sides of the triangle.

The area of the triangle is given as

S = (a + b + c) / 2

[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]

The third side of the triangle will be

c² = a² + b² - 2ab cos θ

c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°

c² = 619.25 - 38.09

c² = 581.16

 c = 24.11 yd

Then the area of the triangle will be

S = (9.5 + 23 + 24.11) / 2

S = 56.61 / 2

S = 28.3

Then the area will be

[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]

Simplify the expression, then the value will be

A = √11815.01

A = 108.7 square yd

The area of the triangle is 108.7 square yards.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ2

Show work, please
32 points!

Answers

Answer:

1.Equivalent

2.Equaivalent

3.Not Equivalent

4.Equivalent

What’s the side length?

Answers

Answer:

11.18

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

The hypotenuse is c.

10² + b² = 15²

Square 10 = 100

Square 15 = 225

100 + b² = 225

225 - 100 = 125

Find the Square Root of 125.

11.18033989 or 11.18

Indicar el número entero que corresponde a cada
situación

a) Se realiza un descuento de $20 en la primera compra con tarjeta de crédito.


b) Se acredita $15 al saldo telefónico por una promoción.

c) La playa de estacionamiento se encuentra en el tercer subsuelo

.
d) María Angélica tiene una deuda de $300.

e) En el nordeste de Francia la temperatura llegó a los 15 grados
bajo cero.

f) La empresa disminuyó las ventas en un promedio de 5 000
unidades por mes.

Answers

Answer:

a)-20

b)+15

c)-3

d)-300

e)-15

f)-5000

g)-400

h)-250

i)+420

Anyone that answers this right will get 100+ points, any wrong answers or spamming will be reported.

Answers

Answer:

na

Step-by-step explanation:

ez I did this in 3rd grade

They don't want place on the school baseball team in the last 9 games one was at bat 28 times and got six hits what is the experimental probability that one will get a kid during his next time at that express your answer as a fraction in simplest form

Answers

Eisismokistee form is their je. Ejeieiek wowow

Pls help!!!! Pic attached

Answers

I’m not sure but have you tried 7?
y=10
all you have to do is substitute the numbers given
hope this helps :)

The diameter of a circle is 5 cm. Find its area to the nearest tenth

Answers

Answer:

Check pdf

Step-by-step explanation:

check pdf it should help you out a lot!

In a college philosophy class during the fall semester, there were 323 students,42% of whom were male and the rest of whom were female. In the springsemester, the same number of females was in the class as in the fall, but there were only 298 total students in the class. In the spring, what percent of students were female?
A. 46%B. 58%C. 63%D. 92%

Answers

Using the percentage concept, it is found that the percentage of female students in the spring was of:

C. 63%

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

During the fall semester, 58% of 323 students were female, hence:

0.58 x 323 = 187.

Then, during the spring semester, the same amount out of 298, hence:

[tex]P = \frac{187}{298} \times 100\% = 63\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

What are all the zeros of the function f(x) = 4x2 + 8x + 3?
Please help!!

Answers

X= 3 on top and f - 16 on the bottom!

someone help it’s timed!!!

Answers

Answer:

p=195

Step-by-step explanation:

If m = 65 and v = 3,

when two variables are together like that, that means you multiply,

65*3 = 195

Answer:

195

Step-by-step explanation:

p=mv

p=65 times 3

p=195

what is the length of BC ?

Answers

The answer is c.

Since a^2+b^2=c^2, b^2=c^2-a^2 thus,
16=4-b^2= srt. of 12

Answer:

b = √12

Step-by-step explanation:

Pythogerom Thyrom

a^2 + b^2 = c^2

2^2 + b^2 = 4^2

4 + b^2 = 16

Find the value of b

4 - 4 + b^2 = 16 - 4

b^2 = 12

b = √12

Joe walked 12m East and stopped for lunch. After eating he continued walking for 12m East. What is his displacement?

Answers

Answer:

24meters

Step-by-step explanation:

Given data

Joe walked 12m East

We are told that Joe continued to walk for another 12m east

Therefore, Joes displacement is

=12+12

=24m

His displacement is 24meters

The measures of the angles of a triangle are shown in the figure below. Solve for x. 620 39°​

Answers

Answer:

6.29

hope this helped

Step-by-step explanation:

:)

PLS HELP ME AND MY TEACHER ARE ON A 1 ON 1 CALL HELP ASAP

Answers

Answer:

I'm confused because...

Step-by-step explanation:

The area of the triangle is 117.

So the surface area of the pyramid is 701.168.

HELP!!!!!!!!!!!!!!!!

Answers

I think it’s A but if it’s not then try c

Answer:

C. 390 cm²

Step-by-step explanation:

Area of Rectangle: l•w

Area of Triangle: 1/2bh

Rectangle:

20 cm • 15 cm = 300 cm²

Triangle:

1/2(12)(15)

1/2(180)

90 cm²

Entire Shape:

300 cm² + 90 cm² = 390 cm²

If the function f is given by f(x)=2x2−4, then which of the following represents the value of c such that f(c)=28?

Select one:
A. 0
B. 2
C. 4
D. 8

Answers

i believe the answer is C. 4

Can someone help me on this plzzz??

Answers

Answer:

add to elimanate y.

Step-by-step explanation:

will give brainlesr please help im 25% blind

Which statement is true about the following pair of rectangles?

Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.

Answers

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle     ( 3 )  is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle  ( 6 )  is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

40=

52=

0%=0

Solve for x. 2x−5=−x+7

Answers

Answer:

x = 4

Step-by-step explanation

2x−5+x=−x+7+x

3x−5=7

3x−5+5=7+5

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

You need to isolate the variable on one side first so that the equation is easier to solve.  To do that, add x to both sides to get 2x + x, which is 3x.  This gets rid of the -x on the other side and results with the new equation

3x - 5 = 7.   Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.  

You can check your work by plugging in 4 for x.  

2(4) - 5 = -(4) + 7

8 - 5 = 3

3 = 3

Therefore, x is equal to 4.  

Hope this helped!  Have a good day!  

Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50
miles in 4 hours. Find the constant of proportipnality and write an equation to
describe the situation. Let x represent the number of hours.
The equation that describes the relationship is y =

Answers

The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.

The equation is  

d

=

12.5

×

t

Explanation:

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

25

miles

÷

2

hours

=

12.5

miles

hour

A direct proportionality will always result in an equation that resembles this:

y

=

k

x

where  

y

and  

x

are the related quantities and  

k

is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)

HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?

Answers

answer: 70 feet
explanation: 14/2=7 7x10=70

10 Points, and thank you!

Answers

-8x^2-50x-60 i don’t know if that’s correct

need help i dont know what I am doing

Answers

Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20

The second one: [tex]11^{1}[/tex]= 11

The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4

Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60,  [tex]11^{1}[/tex],  [tex]2^{2}[/tex] x 5

Hope it helped, good luck!!

Can someone please help me pleaseeee!

Answers

Answer:

y=-1.7x+8

Step-by-step explanation:

An equation of a line is y=mx+c

m is the gradient and c is the y intercept, which is where the line intercepts y.

you work out m getting two points and then subtracting y - y ÷ x - x

So in this graph, if we chose points (6,-2) and (3,3) then we would do this equation.

[tex] \frac{3 - - 2}{3 - 6} = \frac{5}{ - 3} = - 1.7[/tex]

So m = -1.7

c = 8 because it goes through 8 in y.

So the equation is y=-1.7x+8

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