An airplane heads in the direction of N25°E at 325 mph. A tailwind is blowing in the direction N40°W at 50 mph. What is the actual velocity of the plane?
A) 315.786 mph
B) 349.084 mph
C) 438.064 mph
D) 121860.018 mph​

Answers

Answer 1

In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.

From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:

b² = a² + c² - 2ac Cos B

where;

a = 50 mph c = 325 mph∠B = 65° + 50° = 115°

b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)

b² = 2500 + 105625 - (32500 ×  (-0.4226))

b² = 108125 - (-13734.5)

b² = 121859.5

[tex]\mathbf{b =\sqrt{121859.5 }}[/tex]

b = 349.08 mph

Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.

Learn more about bearing and distance here:

https://brainly.com/question/19017345?referrer=searchResults

An Airplane Heads In The Direction Of N25E At 325 Mph. A Tailwind Is Blowing In The Direction N40W At

Related Questions

X= (2a+5)² Y= (a-3)²
X+Y??

Answers

Answer:

X = (2a + 5)^2 = 4a^2 + 20a + 25

Y = (a-3)^2 = a^2 - 6a + 9

4a^2 + 20a + 25 + a^2 - 6a + 9

X + Y = 5a^2 + 14a + 34

Which of theese have a algebrac expression for "some number to the power of 5"
5^x
x^5
5x
x+5

Answers

Answer:

it's

x^5

Step-by-step explanation:

because the number is x and the power of 5 is the little number that goes to the top right of x

please help me!!!!!!!!

Answers

Answer:

$84,320

Step-by-step explanation:

Simple any income above $9001 is taxed at 5.4%

So take 5.4% of $80,000 ($4,320) and add it back in

SO... $84,320

Question 4 of 30
Find the probability of rolling two dice and getting 2's on both.
.
A. 1/60
B. 1/30
C. 1/2
D.1/36
HELP ASAP

Answers

Answer:

1/36

Step-by-step explanation:

prob of each dice is 1/6

=1/6 * 1/6


Out of 65 students, 35 like lays, 24 likes kurkure and 15 is do not like any of them,present the above information in a venn-diagram and find the number of a students who like
both the items.

Answers

Step-by-step explanation:

n(U) = 65

n(L) = 35

n(K) = 24

n(LUK) = 15

n(LnK) = x

Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:

35-x and 24-x

Add the terms together and equate to the universal set :

35-x + x + 24-x + 15 = 65

35 + 24 + 15 + x-x - x = 65

74 - x = 65

- x = 65 - 75

-x = - 9

divide through by -1, you'll get:

x = 9

Therefore, the number of students who like both is 9.

What is the opposite of 8.5?

Answers

Answer:

-8.5

Step-by-step explanation:

If I'm not mistaken this is true because the opposite of a whole number (That isn't 0) is always the negative

2(x-1)(x+2)[tex]2(x-1)(x+2)[/tex]

Answers

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

I assume the following equation is the question you asked.

[tex] \rightarrow \sf \: 2(x - 1)(x + 2)[/tex]

If yes, these are the following are the steps to reach your answer :-

[tex]\sf \: 2(x - 1)(x + 2)[/tex]

Use the distributive property to multiply 2 by x - 1.

[tex] \sf \: \left(2x-2\right)\left(x+2\right) [/tex]

Apply the distributive property by multiplying each term of 2x - 2 by each term of x + 2.

[tex] \sf \: 2x^{2}+4x-2x-4 [/tex]

Combine 4x and - 2x to get 2x.

[tex] \boxed{ \bf \: 2x^{2}+2x-4 }[/tex]

=> The answer will be 2x² + 2x - 4.

_________

Hope it helps.

▄▀▄▀▄ RainbowSalt2222 ▄▀▄▀▄

Find the midpoint between 3pi and pi

Answers

Answer:  2pi

Explanation:

We apply the midpoint formula like so

C = (A+B)/2

C = (3pi+pi)/2

C = (4pi)/2

C = 2pi

This means 2pi is exactly halfway between pi and 3pi

This is similar to saying that 2 is halfway between 1 and 3. Think of the "pi" as "1pi", and we're effectively just looking at the coefficients.

Squere root of 23 is between which two consecutive integers ?

Answers

Answer:

4 and 5

Step-by-step explanation:

4^2 = 16

5^2 = 25

Pls help me :) I would appreciate it

Answers

Step-by-step explanation:

you are just using the number after the ; and switching it for the varible and seeing if the function is true or false (points :p)

A rectangle has an area of 21 square centimeters. Which of the following could be the rectangle's length and width? Area = length x width Choose all answers that apply

Answers

Width=1cm and length=21cm or width=3cm and length=7cm.

Which ordered pair is a solution of the system of equations? y= 3x + 1 y= 5x - 1 A (2,3) © (1,2) B (0, 1) D (1,4)​

Answers

Answer:

D

Step-by-step explanation:

So first, we have to test the pairs. Let start with equation 1.

7=\=3 x

4=\=2 x

0=0 ✓

4=4 ✓

Now we only have to test B and D.

0=\=-1

4=4 ✓

D is the correct answer.

i need helpppp Blake and josh are both saving money for a new bike, the ratio of blake saving 3:1 if they have saved 400$ how much has each boy saved

Answers

Answer:

Blake = $300

Josh = $100

Step-by-step explanation:

3:1

3(00) / 1(00)

300   /   100

Chow,...!

4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I

Answers

Answer: 11%

Step-by-step explanation:

729-648.81=80.10

What percent is 80.10 of 729

%/100 = is/of (this may help you)

X/100 = 80.10/729 (cross multiplication)

(80.19*100)/729 =

11%

CAN SOMONE PLEASE HELP.


a coin is weighed so the probability of landing head is 0.6. If this coin is flipped teice find the experimatal probabillaty of getting two heads.Anwser as a percent

Answers

hi <3

simply multiply the probabilities together:

0.6  x 0.6 = 0.36

multiply by 100 to turn this into a percentage:

0.36 x 100 = 36

thus, your answer is 36%

hope this helps :)

Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?

A) 5/5

B) 12/12

C) 15/15

D) 4/4

E) 3/3

Answers

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Helllllllllllppppppppp

Answers

-1/2 because slope is the rise over the run. If you count on the grid from one point on the line to another you go up one and 2 to the left meaning the slope is 1/2, buttttt when the line decreases going to the right, it has a negative slope so you just add a - sign in front

Complete the table for the given rule. Rule: y x/4 (fraction)

x y
fill in | 4
fill in | 2
fill in | 9​

Answers

Answer:

16, 8, 36

Step-by-step explanation:

x = 4y

y = 4, x = 16

y = 2, x = 8

y = 9, x = 36

Can someone help me for this question...please​

Answers

Answer:

No value of x

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Find the exact value of cos A in simplest radical form. ​

Answers

CosA= base/hypotenuse
=5/13

What is the expanded form of the number 34.576?

3 x 10 + 4 x 1 + 5 x 0.1 + 7 x 0.01 + 6 x 0.001
3 x 10 + 5 x 1 + 4 x 0.1 + 6 x 0.01 + 7 x 0.001
4 x 10 + 3 x 1 + 7 x 0.1 + 5 x 0.01 + 6 x 0.001
5 x 10 + 4 x 1 + 3 x 0.1 + 7 x 0.01 + 6 x 0.001

Answers

Answer:

its the first one I think

The population of the city is 5040000 and the rate of growth is 2.5℅ per annum. Find the population After one year.​

Answers

Answer:

5,166,000

Step-by-step explanation:

grown population after 1 year=2.5/100×5040000

which is 126,000

total population after 1year=5040000+126000

which is 5166000

5) What is the result of subtracting (x2 + 3x)from the polynomial (-2x2 + 4x + 5)?​

Answers

Answer:

- 3x² + x + 5

Step-by-step explanation:

- 2x² + 4x + 5 - (x² + 3x) ← distribute by - 1

= - 2x² + 4x + 5 - x² - 3x ← collect like terms

= - 3x² + x + 5

Hi

Golden rule to know by heart : you can only add or substract element of the same kind.

so X^2 with X^2 , X with X , numbers with numbers...

exemple : 2X^2 +3X^2 = 5X^2

but 5X^2 -3X remains that way as 5X^2 is a " X^2" and " 3X" is a " X" so I can't substract two elements of different kind.

Now you have to translate what is ask of you into a calculus.

so : you have

A ) ( 2x^2+4x +5) - ( x^2+3x)

Math is a sport of the mind. You will only progress and become stronger if you train.

So I let you have a shot. beware of signs rules. If you still have trouble, ask in comment section..

can someone help me with this please​

Answers

NOW FROM THE TOP MAKE IT DROP, THATSA N WAP WAP WAP.

Which of the following graphs represents the equation y-2 = 3(x - 1)?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

y+2= 3(x-1)

y=3x-3-2

y=3x-5

The y - intercept is at (0,-5)

The only graph that has the y-intercept at -5 is C

Answer is =C

Hope it is helpfully.Thankyou.Have a nice day.

Answer:

GRAPH B!!!

Step-by-step explanation:

hope this helps :)

What is the GCF of 55,40,80?

Answers

5 because 5x11 = 55, 5x8 = 40, and 5x16 = 60

Answer:

Take help of GCF of two or more numbers Calculator to calculate Greatest Common Factor of 55, 80, 40 i.e. 5 largest number that divides all numbers equally.

Help due tomorrow…..

Answers

Answer:

So the answer is H

Step-by-step explanation:

They could be situated as

x y z

in which case xy 5 and yz = 3

The total would be 8.

if they are situated like this

x z y

then xy = 5 and yz = 3 but its going the opposite way.

5 - 3 = 2

Rotate ΔCAR if C(-1,-4), A(2,3), R(-3,-2) 180° about the origin

Answers

Answer:

C(1,4) , A(-2,-3), R (3,2)

Step-by-step explanation:

the formula thing for rotating 180° about the origin is (x,y) -> (-x,-y)

this doesn't mean make the number negative, but make it the opposite if that makes sense

e.g. F(2,-4) -> F(-2,4)

The sum of three consecutive integers is 165 what are the integers

Answers

Answer:

54, 55, 56

Step-by-step explanation:

The first integer is x

so the second is x + 1

and the third is x + 2

Add all these together:

so (x) + (x+1) + (x+2) = 165

Group:

x + x + x + 1 + 2 = 165

Combine like terms:

3x + 3 = 165

3x = 162

x = 54

So the first integer is 54

The second is x + 1 = 54 + 1 = 55

And the third is x + 2 = 54 + 2 = 56

54 + 55 + 56 = 165

Answer:

54,55,56

Step-by-step explanation:

Let the three consecutive integers be x,x+1,x+2

x+x+1+x+2=165

or, 3x+3=165

or, 3x=165-3

or, 3x=162

or, x=162/3

or, x=54

Now,

x+1=54+1=55

x+2=54+2=56

Given that measure angle AEB equals 4x+1 and measure angle CED equals 3x, determine the missing measures.

Answers

<AEB=<CED

[tex]\\ \rm{:}\dashrightarrow 4x+1=3x[/tex]

[tex]\\ \rm{:}\dashrightarrow 4x-3x=1[/tex]

[tex]\\ \rm{:}\dashrightarrow x=1[/tex]

Now

[tex]\\ \rm{:}\dashrightarrow 3x=3(1)=3[/tex]

[tex]\\ \rm{:}\dashrightarrow 4x+1=4(1)+1=5[/tex]

Answer:

AEB = -3

CED = -3

Step-by-step explanation:

We can make an equation and solve for x.

4x + 1 = 3x

~Subtract 1 to both sides

4x = 3x - 1

~Subtract 3x to both sides

x = -1

Now we can substitute that value of x into both angles.

4(-1) + 1 = -4 + 1 = -3

3(-1) = -3

Best of Luck!

Other Questions
The perimeter of Stephanies triangle is half the perimeter of Juans triangle. Juans triangle is shown. Write a numerical expression to describe the perimeter of Stephanies triangle. A large power plant generates 7.1 gigawatts of electrical power. A large power plant generates_watts of electrical power. (Use the multiplication symbol in the math palette as needed) In 2001 there were 2,900,000 pupils in a primary school and by 2004 number had increased to 4200000 what was the percentage increase give your answer to the nearest whole number If mortgages and houses are complements in consumption and interest rates decrease, we would expect to see a.An increase in demand for houses b.An increase in the quantity of houses demanded c.An decrease in demand for houses d.An decrease in the quantity of houses demanded Help find the measure of of the angle A,Angle bAngle cAngle dAngle eAngle fAngle gUse degrees. What does it mean to paraphrase when you cite textual evidence?You take the sentence/author's thoughts and reword it into your own words andcite the source.You write down word-for-word what is in the text and cite it.You reword the author's thoughts into your own words, but you DO NOT cite it. the judeo Christian God changes true or false give reasons for your answer In the Cartesian coordinate system, the x-akis is horizontal.A.TrueB. False Help please. Simplify: 5i/ 3 + 2i songs lyrics that represent a personality?? no bad words pls Ideas and principles about what is right and good are known as the movement to inspire religious freedom was know as the enlightenment select the correct answerwhich of these mappings is a function How did Mendeleev come up with the first periodic table of the elements? (1 point)A He determined the mass of atoms of each element.B He estimated the number of electrons in atoms of each element.C He arranged the elements by different properties to find a pattern.D He organized the elements by their atomic number. What is the provision made by present constitution regarding right to education? Community and democracy, how are they similar and how are they different. plsss helpp will give brainliest! thanks! :) Which expression is equivalent to(2^3)^-5 Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce? How did the Spanish-American War affect US power in Asia? The war with the Filipino rebels reduced US influence in Asia. The wargave the US more military and economic power in Asia.The war had little effect on US power in Asia. The war created opposition to the US in many Asian countries.