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

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!


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.

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

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,...!

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

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..

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

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

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 :)

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)

can someone help me with this please​

Answers

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

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

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

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.

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

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.

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

Answers

CosA= base/hypotenuse
=5/13

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.

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 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 :)

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 ▄▀▄▀▄

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

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)

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 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

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

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

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.

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

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