Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle

between the flights is 18º.What is the distance between London and Paris?

London

939 km

18

Berlin

882 km

Paris

Answers

Answer 1

The distance between London and Paris is 290.38km

To get the distance between London and Paris, we will see the cosine formula as shown:

c² = a² + b² - 2ab cosФ

Given the following parameters:

a = 939kmb = 882 kmФ = 18⁰

Substitute into the formula to have:

c² = a² + b² - 2ab cosФ

c² = 939² + 882² - 2(939)(882) cos18

c² = 1,659,645 - 1575326.21

c² = 84,318.79

c = 290.38km

Hence the distance between London and Paris is 290.38km

Learn more on cosine rule here; https://brainly.com/question/7872492


Related Questions

An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns a total of (20p−60) dollars.

a. Factor the expression using the GCF.

20p−60=

b. The discount per T-shirt is $
. what is the discount

Answers

Answer:20 (p-3)

Step-by-step explanation:

how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.

Answers

50% decimal places hope it helps

AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5)

Point A has coordinates (9, 2)
Work out the coordinates of point B.

Answers

Answer:

(-3,8)

Step-by-step explanation:

Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:

((x1+x2)/2,(y1+y2)/2)

Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)

We can assign x2 and y2 as variables.

(9+x2)/2=3

9+x2=6

x2= -3

(2+y2)/2=5

2+y2=10

y2=8

therefore we get the point (-3,8)

There are better ways and this is the "formulaic (ig) way" to do this

The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).

What are the coordinates of the midpoint of the line segment AB?

The midpoint of a line segment means a point which lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

 x = (p+m)/2

and

y = (q+n)/2

The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,

x=(p+m)/2

3=(9+m)/2

6=9+m

m = -3

y = (q+n)/2

5 = (2+n)/2

10=2+n

n=8

Hence, the coordinate of point B is (-3,8).

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ2

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

Answers

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about absolute value graphs at:

https://brainly.com/question/3381225

help i dont know how to do this !!!!!!!!!!!! for brainlist

Answers

Answer:

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

x=2

D (last answer choice)

plug x=2 in and check and you will get 4096=4096

A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?

Answers

Answer:

No

Step-by-step explanation:

i have 9 animals 3 are girls what percent is girls?

Answers

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

can you identify the value of each digit ? ​

Answers

Answer:WHAT VALUE AND WHAT DIGIT

Step-by-step explanation:

Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!

Answers

Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

a + b + c = 4

a² + b² + c² = 10

it follows that

ab + ac + bc = (4² - 10)/2 = 3

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

a³ + b³ + c³ = 22

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

abc = (4³ - 58)/(-3) = -2

from which it follows that

a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

a²b² + a²c² + b²c² = 25

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒   [[[   a⁴ + b⁴ + c⁴ = 50   ]]

100,105,110.25… recusive formula

Answers

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

Which table of values would produce the graph shown above?

Answers

The answer to your question is B.

Find the value of x when 6-2x =5x-9x+16The value of x is

Answers

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5


Ok done. Thank to me :>


Help me I don’t know if it -7 and -12

Answers

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

X < -7

Explain:


a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the
ground?

Answers

well i see that 1x 1 is 2 so that’s your answer!!!!!!!!!

Help please, and explanation.
According to my teacher the answer is not 1/4.

Answers

Answer:

1/9

Step-by-step explanation:

There are 3 even numbers. 2,4, and 6. There is a 1/3 chance of rolling one on each dice.

So 1/3*1/3=1/9

What is the greatest common factor of 3 and 33?

Answers

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

3: 1, 333: 1, 3, 11, 33

Step 2: Find the largest common factor they share.

As you can see, the largest common factor they share is 3.

Therefore, the GCF of 3 and 33 is 3.

Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2

Answers

Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

[tex]x(x - y) - y(y^2 - x)[/tex]

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262

Simplify this expression.
2V5(13 +V2)

Answers

Answer:

26V^5+2V^7

Step-by-step explanation:

The side lengths of a triangle are 12, 14, and x units

Answers

Answer: x=14

Step-by-step explanation: have a good day

calculate the height of the tree the answer is not 46​

Answers

We will want to use the tangent ratio for this question. Opposite=x, adjacent=30.5. Tan(33)=x/30.5.
Tan(33)(30.5)=x
X=19.806, or rounded off x=19.81.

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

6.4 divided by 43.52

Answers

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?

Answers

Answer:

$54 = 71%, $22 = 29%

Step-by-step explanation:

54+22=76

54/76 = 0.7105

22/76 = 0.2894

evaluate 2x+y for x=1/3 and y=2/3

a.1/3
b.2/3
c.4/3
d.5/3

Answers

Answer:

C. 4/3

Step-by-step explanation:

2 × ⅓ + ⅔

⅔ + ⅔ = 4/3

Use X as ⅓, and use Y as ⅔.

can somebody please tell me if this is correct or not​

Answers

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

Answer: Looks precise

Step-by-step explanation:


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

13x+y=1
2x+6y=6
HELP PLZ

Answers

Answer:

(0,1)

Step-by-step explanation:

solve the first equation for y. y=1-13x

plug this into the other equation and solve for x.

2x+6(1-13x)=6

2x+6-78x=6

-76x+6=6

subtract 6 from both sides

-76x=0

x=0

plug this into the other original equation.

13(0)+y=1

y=1

(0,1)

Answer plz school is stressful

Answers

the answer is 1 month

Answer:

1 month.

Step-by-step explanation:

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

help quick! Which BEST describes the tables?

Answers

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

i need help with this question, thx to anyone who helps! :)

Answers

Answer:

Golf balls

Step-by-step explanation:

There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)

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