Two ships leave the same port. Ship A travels at a constant speed of 30 km/h. Ship B travels at a constant speed of 37 km/h. The angle between their paths 62 degrees. How far apart are the two ships from eachother three hours later?

Answers

Answer 1

Answer:

The distance between them is 105.07 km

Step-by-step explanation:

First we need to find the distance travelled by each ship.

To find this distance, we should use the formula:

distance = speed * time

For ship A, we have:

distance1 = 30 * 3 = 90 km

For ship B, we have:

distance2 = 37 * 3 = 111 km

Now, to find the distance between the ships, we can use the law of cosines, where a, b and c are the respectively the distance travelled by ship A, the distance travelled by ship B and the distance between them:

c^2 = a^2 + b^2 - 2*a*b*cos(62)

c^2 = 90^2 + 111^2 - 2*90*111*0.4695

c^2 = 11040.39

c = 105.07 km

The distance between them is 105.07 km


Related Questions

please help quickly !

Answers

Answer:

See Below:

Step-by-step explanation:

b*3/5 = l

where b is the cost of the bill, being multiplied by 3/5 to find out how much of it was l, labor cost.

We now labor was 79.50 so we substitute that for l.

b*3/5= 79.50          We now multiply by 5/3 on both sides to isolate b, the cost of the bill.

b=  132.50

The correct equation is D, 3/5*b = 79.50 and the total bill was 132.50

Answer:

antwoord

Is d

Step-by-step explanation:

-7.33 - 1.3n = -0.18
HELPPPPP!!!!

Answers

Answer:

The answer to your probem is -5.5

Answer:

-1.3n - 7.33 = -0.18

-1.3n = 7.15

n = -5.5

Step-by-step explanation:

What does 3 to the zero power equal?

Answers

Answer:

1

Step-by-step explanation:

any number to the power 0 is equal to 1

Answer:  1

Step-by-step explanation:

n^0 = 1

any number raise to zero is one

Remove all perfect squares from inside the square root√450
I need an answer ASAP please.

Answers

Answer:

[tex]\sqrt{450}= 21.21[/tex]

Step-by-step explanation:

[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]

The required expression is 15√2.

What is simplification?

In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.

Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2

Thus, the required expression is 15√2.

Study more about simplification here:
https://brainly.com/question/12501526

#SPJ2


Why is math so hard

Answers

Answer:

because their are so more calculaition

basically math derives from satan.

If -----
1 =2
3=18
5=50
4=32
Then,
6=?

Answers

66, bcz 6 times 11 is 66

Answer:

i believe the answer is 80

Step-by-step explanation:

Please help
Algebra 1
Look at the photo below...

Answers

horizontal line: x=9

vertical line: y=3

You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other

whats the radius for the circle? x^2+2x+y^2+4y-6=0

Answers

Answer:

r = [tex]\sqrt{11}[/tex]

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]

A die is rolled. What is the probability that the result is less than 3?

Answers

Answer:

1/6 if the die is 6 sided

Step-by-step explanation:

it wold have a 1/6 chance to land on 3 if the die is 6 sided

If you are making a complementary angle and one angle is 70 degrees. What must the other angle measure?

Answers

Answer:

20 degrees

Step-by-step explanation:

complementary angles sum up to 90 degrees

Answer:

[tex]20 \: \: degrees[/tex]

Step-by-step explanation:

complementary angles mean either of two angles whose sum is 90°.

[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]

Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by the system) *

Answers

Answer:

47 degrees

Step-by-step explanation:

i hope this helps

Answer these maybe? I’m confused

Answers

Step-by-step explanation:

c) j = 95 degree (similar triangle)

d) jk/4 = 4.6/9.2

jk/4 = 1/2

jk = ?

Answer:

angle k = 30.4

Step-by-step explanation:

Large triangle :

95 + 15 = 110

180 - 110 = 70 degrees

Now, the second triangle is 2.3 times larger than the first one.

(9.2 divide 4 = 2.3)

so, 70 degrees divided by 2.3 = 30.4

If you take a number, times by 8 then add 6. You get the same as if you took the number, times by 3 then subtract 7. What is the number?

Answers

I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Jose is x years old. His brother, Felipe, is 2 years older than Jose. Their aunt, Maria, is three times as old as Felipe. Write and simplify an algebraic expression to show Maria’s age in years. (Hint: your answer will not be a number...it will be an algebraic expression)

Answers

Answer:

3(x + 2) = 3(x) + 3(2)

= 3x + 6

Step-by-step explanation:

Which equation can be used to find the surface area of the cylinder?

d = 6 cm

h = 14 cm

S= 2(14)2 + 25(14)(6)

S=2(3)2 + 2(3)(14)

S=28(6)2 + 25(6)(14)

S=2643)2 +27(3)(14)

Answers

Answer:

S = π( 2(9) + 2(3)(14))

Step-by-step explanation:

Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.

Mathematically,

the surface area of a cylinder can be calculated using the formula

S = 2 π r^2 + 2 π rh

from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm

We plug these two values into the equation above

Thus, we have

S = 2 * π * 3^2 + 2 * π * 3 * 14

S = π( 2(9) + 2(3)(14))

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?

Answers

Answer:

4

Step-by-step explanation:

Malcolm and Ravi raced each other.

The average of their maximum speeds was km/h260 if doubled Malcolm's maximum speed would be km/h80 more than Ravi's maximum speed.

What were Malcolm's and Ravi's maximum speeds?

Answers

Answer:

ravi's is 440 and malcolm's is 520 i think

Step-by-step explanation:

Use the work shown below to find the simplified product. StartFraction 25 x squared Over 2 x + 6 EndFraction times StartFraction 2 Over 5 x EndFraction StartFraction 25 x squared Over 2 (x + 3) EndFraction times StartFraction 2 Over 5 x EndFraction Choose the simplified product.

Answers

Answer:

c

Step-by-step explanation:

:)

Answer:

C.

Step-by-step explanation:

5x/x+ 3

lisa watches the vehicles that passes buy in front of he apartment building.she has counted 15 vans and 30 cars. what is the approximate probability that the next vehicle lisa sees is a van?
A) 25%
B) 0.5
C)1/3
D3/2

Answers

The correct for sure answer is 0.5

SHOW WORK FOR BRAINLEST!
Are the two figures similar? If so, give the scale factor of the first figure to the second figure.

Answers

Answer:

Step-by-step explanation:

The scale factor is 2/3

2/3=2*2/2*3=4/6

2/3=2*3/3*3=6/9

The two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

What is Scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

From the given figure take the same sides of both figure

Width = [tex]\frac{6}{9}=\frac{2}{3}[/tex]

Length = [tex]\frac{4}{6}=\frac{2}{3}[/tex]

Height = [tex]\frac{2}{3}[/tex]

Therefore the scale factor is [tex]\frac{2}{3}[/tex]

Hence, the two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

Learn more about Scale factor here

https://brainly.com/question/22312172

#SPJ2

Which of the following values is the solution to the equation

-16 + x = -30 ?

1.)-2
2.)-14
3.)-480
4.)-46

Answers

Answer:

Step-by-step explanation:

x - 16 = -30

x = -14

Answer:

3.

Step-by-step explanation:-16 + x = -30

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 3, 6, \sqrt{45}3,6, 45 ​ 3, comma, 6, comma, square root of, 45, end square root (Choice B) B \text{2.5, 6, 6.5}2.5, 6, 6.5start text, 2, point, 5, comma, space, 6, comma, space, 6, point, 5, end text (Choice C) C 4, 8, \sqrt{80}4,8, 80 ​

Answers

Answer:

A, B and C

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Option A: [tex]3, 6, \sqrt{45}[/tex]

[tex](\sqrt{45})^2=3^2+6^2\\45=36+9\\45=45[/tex]

True

Option B: 2.5, 6, 6.5

[tex]6.5^2=6^2+2.5^2\\42.25=36+6.25\\42.25=42.25 (TRUE)[/tex]

Option C: [tex]4, 8, \sqrt{80}[/tex]

[tex]4, 8, \sqrt{80}\\( \sqrt{80})^2=4^2+8^2\\80=16+64\\80=80 (TRUE)[/tex]

Since all are true, the side lengths in Options A, B and C forms a right triangle,

Answer:

ABC

Step-by-step explanation:

please help !!

use this set of points to help answer 11a and 11b:
(0,9) (2,8) (4,7) (6,6) (8,5)

11a. Write a point that could be added so that the set of points represents a function.

11b. Write a point that could be added so that the set of points does not represent a function.

Answers

Answer:

11a.  (1, 1)

11b.  (2, 2)

Step-by-step explanation:

A function cannot have an x-value that produces multiple different y-values.  A function can have a y-value that produces multiple different x-values.

For this question, you could put in a number of different points and still get the right answer.  If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong.  As long as it follows the rules stated above, you will get the correct answer.

11a.  (1, 1)  

This is an x-value that was not stated in the data set.  This means that, as far as we know, there is only one y-value for the x-value of 1.

11b.  (2, 2)

This is an x-value that was stated in the data set.  This means that for the x-value of 2, there are two y-values: 2 and 8.

Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)

Answers

Answer:

Because is said

Step-by-step explanation:

C

If one discount point costs the borrower 1% of the loan amount and increases the lender's yeild by ⅛ of 1 percent how many discount points must be purchased to lower the interest rate by 1 percent

Answers

Answer:

He has to buy 8 of course

Step-by-step explanation:

Can someone please tell me what is 9x = -7

Answers

Answer:-7/9 ( as a fraction )

Step-by-step explanation:

To isolate x divide 9 on both sides

You get -7/9

Geoff thinks of a number. He deducts five from it and the divides the result by three. His answer is 25. what number did he start with?

Answers

Answer:

80

Step-by-step explanation:

Geoff's number is 80. We can figure this out by reversing the steps.

Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.

3 x 25 = 75

75 + 5 = 80

Therefore, Geoff's number is 80.

Answer:80

Step-by-step explanation:

Which book should they choose for the district?

Answers

Answer:

A

Step-by-step explanation:

While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.

A: Approved = 8 Total = 9    8/9 = 88%

B: Approved = 24 Total = 29    24/29 = 83%

C: Approved = 12 Total = 16    12/16 = 75%

D: Approved = 20 Total = 26   20/26 = 77%

As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!

12/19*.............................= -12/19

Answers

Answer:

[tex] \frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19} [/tex]

Step-by-step explanation:

[tex] \frac{12}{19} \times ..... = -\frac{12}{19} [/tex]

= [tex] \frac{\frac{12}{19}}{-\frac{12}{19}} [/tex]

= [tex] \frac{12}{19} \times -\frac{19}{12} [/tex]

= [tex] -\frac{228}{228} [/tex]

= [tex] \bold{-1} [/tex]

So, the appropriate value to complete it is -1

#CMIIW ^^

Answer:

-1 is the answer

Step-by-step explanation:

:)

I need to pass this please any help is appreciated

Answers

Answer:

GF = GE so GE = 7x-3

Answer:

GE = 38

Step-by-step explanation:

6x + 2 = 7x - 3

6x + 5 = 7x

5 = x

Put the variable into the equation of GF, since GF and GE make a square therefore are equal.

7(5) - 3

GE = 38

Other Questions
Menes was the ________.Apharaoh who built the first pyramidBgod of death, life and fertilityCfirst to unite EgyptDBritish Egyptologist who discovered King Tut's tomb When choosing a text structure, authors should think aboutwhat type of information they are writing about.how long the text will be.how the information in the text will be arranged.where charts or graphs are needed in the text. What tissue makes up a bone? 1) Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean = 43 and standard deviation = 9. Find the following probabilities. a) x is less than 60 b) x is greater than 16 c) x is between 16 and 60 d) x is more than 602)Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.5 millimeters (mm) and a standard deviation of 1.0 mm. For a randomly found shard, find the following probabilities. a) the thickness is less than 3.0 mm b) the thickness is more than 7.0 mm c) the thickness is between 3.0 mm and 7.0 mm. A seabird rescue center has a special habitat for birds that will be released soon. The habitat is shaped like a rectangular prism. The habitat has a ground area of 2,000 square meters that is covered in grass and sand. The height of the habitat is 9 meters. What is the volume of the bird habitat? This is not collage level. Using the Enforcement Acts, who did Congress empower to stop the Ku Klux Klan and other white societies during Reconstruction?Select the best answer from the choices provided.A. state and local governmentsB. the president, using the federal government and armyC. federal courts, including the Supreme CourtD. private mercenaries and contractors in the given figure, mBC =118, mBE=76, and ma.) the measure of DE is 48, and triangle BCD is isosceles. b.) the measure of DE is 83, and triangle BCD is isosceles c.) the measure of DE is 48, and triangle BCD is not isosceles. d.) the measure of DE is 83, and triangle BCD is not isosceles. What is El Nio? Identify at least two ways in which El Nio changes the weather of a region Function f is an increasing exponential function that is negative on the interval (-, 2) and positive on the interval (2, ). Which could be the graph of function f? In 1964, the Congress of Racial Equality and the Student Nonviolent Coordinating Committee launched Please please please please PLEASE help!!!Brainliest for whoever gets this right!Describe how an earth wire and a fuse can protect an iPad with a metal casing - 5 clear simple points How would the gravity change if the earth was farther away fro maybe sun? Explain the steps in calculating the mean absolutedeviation of a set of data. Need help with this pls!!(Show work pls) Slavery in the ancient world The passage of the fifth amendment lead to which algebraic expression represents the phrase 14 increased by a number A shoe repair company starts buying out all the local shoe repair companies. Once it is the only shoe repair company in town, it sharply raises prices. This might be a violation of which of the following types of laws? A. Regulatory B. Patent C. Antitrust D. Supply and demand ____ senor junto a mi padre es mi bisabuoa. aquellab. aquel c. estad. esos What must be done to translate a posttest loop expressed in the formrepeat: (. . . ) until (. . . )into an equivalent posttest loop expressed in the formdo: (. . . ) while (. . . )