An airplane is flying in the direction of 30 degrees south of west at 600 mph. a wind is blowing in the direction of 60 degrees north of east at 40 mph. are the component forms for the air and wind vectors. the ground speed, g, of the plane is given by .

Answers

Answer 1

The ground speed (G) is given as

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

The correct potion is B.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.

It means the airplane is flying in the opposite direction of the wind.

The component of an airplane will be

[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]

The component of wind will be

[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]

Then the ground speed will be

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

Then the correct potion is B.

More about the vector link is given below.

brainly.com/question/13188123

Answer 2

Answer:

C and B

Step-by-step explanation:

C and B


Related Questions

Shade 2/3 of this grid

Answers

Answer:

The answer is in the attachment

Step-by-step explanation:

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Step-by-step explanation:

Hope its helpful for you!!

What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!

Answers

Answer:

1764

Step-by-step explanation:

10 x 98 = 980

8 x 98 = 784

980 + 784 = 1764

Answer:

I would choose A) 1764

Step-by-step explanation:

I know this because I used a calculator;)

Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9


distributive property
commutative property
associative property
inverse property

Answers

Answer:

  (b)  commutative property

Step-by-step explanation:

The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.

Please help!! Will mark brainlyest.

Answers

Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

Choose Your Own Solution
3x + 8 = 3x +?

What would make it true for just one value of x?

Answers

Answer:

Your answer would be

x = 8

Last Question HELP

What is the inverse of `y = 5x + 7

Show Steps!

Answers

Answer:

[tex]\sf y' = \dfrac{x-7}{5}[/tex]

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

y=5x+7

Take this and solve for x

5x=y-7x=y-7/5

Interchange y and x

y=x-7/5

So

The inverse is

[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]

Find the measurement for x.

Answers

Answer:

x=120 degrees

Step-by-step explanation:

All triangle add up to 180 degrees so first you need to finnish the triangle which is 60 degrees. X and 60 degrees is on a straight line which means something + 60= 180.

(180-60=120)

x= 120

180-50-70=60
180-60=120 degrees

IF SAM BUY'S A CHOCOLATE AT PRICE 8 DOLLER AND SELLS THE CHOCOLATE AT PRICE 8.5 DOLLER. HOW MUCH CHOCOLATE WOULD SAM HAVE TO SELL TO MAKE A PROFIT 25 PERCENT.

Answers

Answer:

................... Sam should sell 25 chocolate

Step-by-step explanation:

hahaha

La siguiente tabla presenta las frecuencias absolutas y relativas de las distintas caras de un dado cuando se simulan 300 lanzamientos en una página web: Si ahora se simulan 600 lanzamientos en la misma página web, Marcos cree que la frecuencia relativa de la cara con el número 6 será 0,36, porque se simula el doble de los lanzamientos originales. Por otro lado, Camila cree que la frecuencia relativa de la cara número 6 se acercará más al valor 0,166, tal como el resto de las frecuencias relativas de la tabla

Answers

La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.

Qué es la frecuencia relativa?

La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.

Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.

De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.

Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.

Aprenda más sobre probabilidad en: https://brainly.com/question/16019390

What is the answer and how to solve?

Answers

I’m not sure what h and t are but you would want to plug them in and solve. How I would do it is multiply h and t on the left, then multiply t squared and get an answer, then multiply that answer by -5, then multiply t by 20. Next add or subtract all of the numbers on the right and I think you would get your answer.

Landon Wallin is an auto mechanic who wishes to start his own business. He will need ​$4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60​-month fixed installment loan with an APR of 6​%.
​a) Determine​ Landon's finance charge.
​b) Determine​ Landon's monthly payment.

Answers

Answer:

a.$1230

b.$20.50

Step-by-step explanation:

Assuming Landon only makes the minimum payments for the sixty months this is how you would find it

Multiply loan by percentage over the five years: 4100 x .3 = 1230

Then divide that amount by months paid: 1230/60= 20.5

Please help me with this question.

Answers

Answer:

C

Step-by-step explanation:

C, because the second line keeps adding 6 to it and, the third line keeps adding 7.

Solve the system.
2x + y = -3
-2y = 6 + 4x
Write each equation in slope-intercept form

Answers

Answer:

y=−3−2x

Step-by-step explanation:

y=−2x−3

Answer:

The answer for both is y=-2x-3

Step-by-step explanation:

I hope this helps!

Someone earned 24$ in two years by investing 400$ what is the simple intrest

Answers

25 multi 400 85300 answer

The dimensions of a rectangle are:
-8x and -7x
Write the simplified expression for the rectangle's area.

Answers

Step-by-step explanation:

area=L×W

so

Area= (-8x)(-7x)

= 56x^2

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. What is the perimeter of the parking lot

Answers

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5

Answer:

Step-by-step explanation:

b is the answer i first i was confused with the other answer but its b

help mee!eeeeeeeee please

Answers

Answer:

50.24

Step-by-step explanation:

4²=16

16×3.14=50.24

Firstly, we must use the equation to solving a circle which is [tex]A = \pi r^2[/tex]. Since we already know pi (3.14) and the radius (4), we must plug the numbers into the formula. Here is how it should look like with the plug-ins: [tex]A = 3.14 * 4^2[/tex].

Next, we solve the formula. After solving, we get 50.24. The final answer to the problem is 50.24 inches squared.

Two solids are described in the list below.

• One solid is a sphere and has a radius of 6 inches.

• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches.

What is the difference between the volumes, in cubic inches, of the solids in terms of it?

Answers

Answer:

72pi

Step-by-step explanation:

ou are taking a multiple choice test that has 5 questions. Each of the questions has 5 answer choices, wth one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways cm
ou answer the questions?
ou can answer the questions in ways.

Answers

Each question = 20 points 100 divided by 5

Answer:

it's 1,024

Step-by-step explanation:

4x4x4x4x4

(3x^2-10x+4)+(10x^2-5x+8)
(3x
2
−10x+4)+(10x
2
−5x+8)

Answers

Answer:

30x^4-115x^3+127x^2+115x+44

Step-by-step explanation:

This is what I got, let me know if I'm right.

What is the solution to 31–3x + 91 = -18?
O x= -5
O x = 5 or x = 1
O x= -5 or x = 1
O no solution

Answers

The option will be d) no solution

Please check the attachment for full solution

The answer would be 140/3. Thus no solution

Can someone help me with this pls

Answers

Answer:

10^4 * 4^5

Step-by-step explanation:

4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.

Answer:

[tex]{10^4*4^5}[/tex]

Step-by-step explanation:

Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]

Hope this helps!

Use the long division method to find the result when 4x3 + 11x2 + 30x + 18 is
divided by 4x + 3.

Answers

The answer is x^2+2x+6

ryan bought a wii game for 34.00 at the mall. he had to pay 6 % sales tax. How much did he pay in all

Answers

Answer:

$36.04

Step-by-step explanation:

34 * 1.06 = 36.04

You start at (6, 7). You move right 3 units and left 3 units. Where do you end?

Answers

Same place. (6,7).

Its like a dance lol

Answer: (6,7)

Step-by-step explanation: (6,7) because if you move right 3 and then move back 3, you end up where you started. So it's the number you started with. (6,7)

Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?

Answers

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

d = r * 2

Solving for radius

r = d/2

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

Please help me asap

Answers

Answer:

One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.

Step-by-step explanation:

432.4 galloons in total in 4 tanks

432.4 : 4

? : 1

432.4/4=108.1, so 108.1 gallons in each tank

Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.

Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet

Answers

im not just answering for points now this is on g00gIe this the answer is 9.24

A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?

Answers

option C

47.5 cm²

hope it helps...!!!

Mr. Hasson is buying barbie dolls and stands for his barbie dolls. Dolls are sold in packs of 10 and stands are sold in packs of 6. What is the least number of dolls and stands he can buy so that there is a doll for every stand?

Answers

Answer:

3packs of dolls and 5packs of stands

Step-by-step explanation:

1 pack = 6stands

3packs =3×6

=30 stands

1 pack =10 dolls

3packs =3×10

=30 dolls

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