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

if p(q) = q^2 + 4q − 12,then what is p(−1)?

Answers

Answer: p(-1) = -15

Step-by-step:

Plug -1 into the equation in place of q.

p(-1) = (-1)^2 + 4(-1) - 12

p(-1) = (-1)^2 - 4 - 12

p(-1) = (-1)^2 -16

p(-1) = 1 - 16

p(-1) = -15
1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly

Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?

Answers

Answer:

26%

Step-by-step explanation:

Well, we need to find what percent 3.25 is of 12.50.

12.50*x=3.25

3.25/12.50=.26

26% is saved.

Solve for m. 81m2 = 36

Answers

Step-by-step explanation:

81m2 = 36

m2 = 36/81

m2 = 4/9

Square root on both sides

m = 2/3

Answer:

Step-by-step explanation:

i hope this help have a great day!

12 times 3/8 and simplified

Answers

Answer:

4 1/2

Step-by-step explanation:

[tex]12*\frac{3}{8} \\=3*\frac{3}{2} \\=9/2= 4 \frac{1}{2}[/tex]

Abigail’s family was going on vacation. They decided to rent a jet ski. When they went to rent the jet ski, they had to pay a $40 deposit and then $35 an hour.
Which equation could be used to calculate how many hours they rented the jet ski if they ended up paying a total of $145.

A. 145 + 35x = 40

B. 35x = 145 + 40

C. 35x - 40 = 145

D. 40 + 35x = 145

Answers

Answer:

The Answer To This Question Is D.

Step-by-step explanation:

So they had to pay 40 and then 35 an hour = 40 + 35x = 145

Hope this helps! Please Mark Brainliest!

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ​ ?

Answers

Answer:

the first on is 144 the secnd one is 1

Step-by-step explanation:

i think that's write.

Question 3
Which table represents a linear function?

Answers

Answer:

Top right

Step-by-step explanation:

The change in y must be constant. 11-13 = 2, 11-9 = 2, 9-7 = 2

A carton of a orange juice is in the sahpe of a cuboid. It has a height of 20cm lenght of 12cm and depth of 8cm. The depth of the orange juice is 6cm.the carton is turned so that it stands the shaded face.Work out the depth of the orange juice.

Answers

Answer:

4cm

Step-by-step explanation:

The area of the base will be doubled 60[tex]cm^{2}[/tex] to 120[tex]cm^{2}[/tex]

After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)

Answers

Answer:

$237.50

Step-by-step explanation:

5/100=.05

250•.05=12.5

250-12.5=237.50

Please help me im begging you

Answers

Answer:

i think its D but sorry if im wrong !! <3

Step-by-step explanation:

Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)

Whole numbers: 6-2 = 4

⅝- ⁴/8 = ⅛

Step-by-step explanation:

The answer is 4 ⅛ :)

PLEASE HELP. I'LL GIVE BRAINLIEST.

Find the missing value to complete the square. So what is the value of the question mark that would make the equation true.

x² + 8x + ?

Answers

Answer:

16

Step-by-step explanation:

(x+4)(x+4)

Answer:

The answer is 16.

Step-by-step explanation:

Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

[tex]\frac{8x}{2} \\\\4^2=16[/tex]

The last number must be 16. Let's check it.

[tex](x+4)^2=x^2+8x+16[/tex]

1/3 + 3/5 in fraction form

Answers

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

also read similar questions: What is 3/7 plus 3/5 in fraction form?...

https://brainly.com/question/3442261?referrer

-1 5/6 ÷ -3 1/3 in fraction form...

https://brainly.com/question/15930246?referrer

Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

What is the equation to find the slope
m=

Answers

Answer:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

Answer:

[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]

Step-by-step explanation:

The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,

[tex](x_1,y_1), and (x_2,y_2)[/tex].

Hope it helps :) and let me know if you want me to elaborate.

The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)

Answers

Answer: 4/3

Step-by-step explanation:

One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?

Answers

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

10-4/4x89-1/2+43992/69x174

Answers

10.127781530000000000

Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?

Answers

2% of 350 is 7, so Bentley sold 7 cards on Mother's Day

What is the length of DE?
А. 8
В. 7
С. 6
D. 5

Answers

I think your best shot is 6

Which of these is the correct root of the word judicial?

O A. jud = mankind

B. jud = book

C. jud = prophecy

O D. jud = law

SUBN

Answers

pretty sure law. judicial means of, by, or appropriate to a court or judge.

A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase

Answers

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

Mr Brown bought TV for a total money of 20000 including VAT of VAT is 15% then find the original price of the tv​

Answers

Answer:

17,391.30

Step-by-step explanation:

original is always 100%.

if 115% = 20000

wat of 100%= ?

crossmultiply to obtain 17,391.30 as the original price.

In a survey, 3 out of 20 students were left-handed. Based on this information, if 300 students were interviewed, how many of them could be expected to be left-handed?

Answers

Based on the information given, from the fraction, it can be noted that the number of left-handed people will be 45.

From the information given, it was stated that in the survey, 3 out of 20 students were left-handed.

Therefore, in a population of 300 people, the number of left handed people will be:

= 3/20 × 300.

= 3 × 15

= 45

There are 45 left handed people.

Learn more about fractions on:

https://brainly.com/question/13763238

The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?

thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0​

Answers

Answer:

x = (−2 ± √−12)/2

Step-by-step explanation:

Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):

Simplify
8(x+3)²/2(x + 3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)²/x+3=4x+12

A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?

Answers

Answer:

7 quarters

Step-by-step explanation:

An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.

Answers

Answer:

y = 20x + 80

Step-by-step explanation:

Define quadrilateral triangle ? Give two examples​

Answers

Answer:

Defination of Quadrilateral Triangle :-

A triangle is a simple closed curve or polygon which is created by three line-segments. On the other hand, in terms of Euclidean plane geometry, a polygon having four edges (or sides) together with four vertices is called a quadrilateral.

Examples of Quadrilateral Triangle :-

A quadrilateral is a closed two-dimensional figure that has 4 sides, 4 angles, and 4 vertices. Examples of quadrilaterals are :- square, rectangle and trapezium.

Step-by-step explanation:

Hope this helps you dear ✌️Carry on learning !!

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

Answers

Answer:

8 kiwis

Step-by-step explanation:

32/16= 2

2 kiwi for $1

4*2= 8

Answer:

8

Step-by-step explanation:

Method 1:

32 kiwi = $16

(÷4)

8 kiwi = $4

(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)

Ans: 8

Method 2:

$16 ÷ 32 = $0.50 (cost of 1 kiwi)

$4÷$0.50=8

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