The bearings of ships A and B from a port P are 225° and 116° respectively. Ship A is 3.9km from ship B on a bearing of 258°.
Calculate the distance of ship A from P.

Please show workings and diagrams.​

Answers

Answer 1

Answer:

2.54 km

Step-by-step explanation:

See the attached

All given details are reflected in the diagram (not to scale)

PA is at 225°, PB is at 116°, BA is at 258°AB = 3.9 kmAP = xm∠P = 225° - 116° = 109°m∠A = 258° - 225° = 33°m∠B = 180° - (109° + 33°) = 38°

Use the law of sines:

x/ sin 38° = 3.9 / sin 109°x = 3.9 sin 38° / sin 109°x = 2.54 km (rounded)
The Bearings Of Ships A And B From A Port P Are 225 And 116 Respectively. Ship A Is 3.9km From Ship B

Related Questions

David Is saving money to buy a game. The game costs $15, and so far he has saved one-third of this cost. How much money has David saved?

Answers

Answer:

5$

Step-by-step explanation:

He has 15$. divide 15 by 3

Answer: 5

Step-by-step explanation:

15÷3= 5

Use the multiplier method to decrease £56 by 14%
You must show your working.

Answers

Answer:

56 times .86=48.16

Step-by-step explanation:


A baseball team has a goal of hitting more than 91 home runs this season. They average 7 home runs each game and have
already hit 35 home runs so far. How many more games, x, will it take the baseball team to reach its home run hitting goal if they
continue to average 7 home runs per game?
Select the number line that includes the fewest number of games the team can play and still meet their goal

Answers

Answer:

8.

Step-by-step explanation:

91-35=56

56/7=8

Answer:

It's D on study island

Step-by-step explanation:

[tex]-2\sqrt{18} +2\sqrt{2}[/tex]

Answers

Answer:

- 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{18}[/tex] using this rule

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Then

- 2[tex]\sqrt{18}[/tex] + 2[tex]\sqrt{2}[/tex]

= - 2(3[tex]\sqrt{2}[/tex] ) + 2[tex]\sqrt{2}[/tex]

= - 6[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex]

= - 4[tex]\sqrt{2}[/tex]

HELP Explain the Triangle Inequality Theorem as it relates to angles.

Answers

Answer:

If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.

have a great day and easter

The Inequality Theorem states that, If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

What are triangles?

A triangle is a polygon with three edges and three vertices.

Triangle Inequality Theorem :-

If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

For example :-

Consider a triangle RQS,

List the sides of this triangle in increasing order.

Because 30° < 50° < 100°, then RS < QR < QS.

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

A circular swimming pool has a radius of 15 feet. What is the circumference of the pool?

Answers

Answer: 706.5

Step-by-step explanation:

A= pi r squared

A= 3.14x15 squared

15 squared = 225

A= 3.14x225

Madeline needs to find the slope of the line that passes through the points (9, 12) and (7,4) she sets up the following work​

Answers

Answer:

         4

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]

My brain is destroying itself so i need a little help I give brain award

Answers

The third one is the right one on e2020

. 3(a - 2) – 4(2a - 3)

Answers

Answer:

a = 0.5454545455

Step-by-step explanation:

Simplifying

3(a + 2) + 4(2a + -3) = 0

Reorder the terms:

3(2 + a) + 4(2a + -3) = 0

(2 * 3 + a * 3) + 4(2a + -3) = 0

(6 + 3a) + 4(2a + -3) = 0

Reorder the terms:

6 + 3a + 4(-3 + 2a) = 0

6 + 3a + (-3 * 4 + 2a * 4) = 0

6 + 3a + (-12 + 8a) = 0

Reorder the terms:

6 + -12 + 3a + 8a = 0

Combine like terms: 6 + -12 = -6

-6 + 3a + 8a = 0

Combine like terms: 3a + 8a = 11a

-6 + 11a = 0

Solving

-6 + 11a = 0

Q1.
Laila has a biased 5-sided spinner.
The table below shows the different possible outcmes of the spinner.
1
2
3
4
Outcome
Probability
0.12
0.15
0.24
Work out the probability of the spinner landing on 4.

Answers

the answer is 0.49 because u jus add it all and minus it from 1
Ok I am going back and send a picture with him the answer is 0.45

A rectangular table is 64 inches long and 35 inches wide. What is the perimeter of this table

Answers

198 will be your perimeter

Hope this helps

The perimeter of a rectangular table is 198 inches.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, a rectangular table is 64 inches long and 35 inches wide.

Now the perimeter of table is

2(64+35)

= 2×99

= 198 inches

Therefore, the perimeter of a rectangular table is 198 inches.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ6

a cyclist rides his bike at a rate of 5 kilometers per hour.what is this rate in
miles per hour? how many miles will the cyclist travel in 5 hours? in your
computations assume that 1 mile is equal to 1.6 kiolmeters. Do not round your
answers

Answers

Answer:

rate is 8 miles per hour and he travels 40 miles per 5 hours

Step-by-step explanation:

The story problem told that i should assume that 1 mile is 1.6 km

so 5km/hr is equal to 8m/h

i got it by multiplying 5 by 1.6 so i can change from the unit km to mile

so about the miles per 5 hours just multiply the 8 mph by 5 so it is 40

40miles per 5hrs

hope i made it clear

100 points for test plz help!!!
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.

Answers

Answer:

I can't draw models on here but i can walk you through it

Step-by-step explanation:

A linear model is usually a graph of a line were it is going left to right. Start by collecting your data and simply place the points from decreasing order to increasing and draw a line to collect them.

Have a great day! :)

Answer:

heres a pic of what linear models look like

hope u have a great day :P

Step-by-step explanation:

Given segment AC and point B lies on AC
Find CB if AC = 51, AB = 6-5x, and CB = 49 + 6x

Answers

Answer

3.9 round to 4 ish

Step-by-step explanation:

hey, I'm not sure if I did this right but the way I did it it's what I'm learning so if you get it wrong I apologize.

help please!! im so confused and this is a mid-term for a major grade!!

Answers

Answer:

the secend equation

[tex]y = - x + 9[/tex]

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything.

I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.

For two independent events A and B, Pr(A or B) = 0.8 and Pr(B) = 0.3. From this, find Pr(A).

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

Correct option is

A

5/7

As A and B are independent

0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)

=0.3+P(B)−(0.3)P(B)

⇒0.5=(0.7)P(B)⇒7P(B)=5

In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).

Answers

Answer:

In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).

Step-by-step explanation:

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

Vectorially speaking, a translation is defined by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (3, 2)[/tex], [tex]C(x,y) = (4, -2)[/tex], [tex]D(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-4,2)[/tex], then the resulting points of the rectangle are:

[tex]A'(x,y) = (0, 0) + (-4, 2)[/tex]

[tex]A'(x,y) = (-4, 2)[/tex]

[tex]B'(x,y) = (3, 2) + (-4,2)[/tex]

[tex]B'(x,y) = (-1, 4)[/tex]

[tex]C'(x,y) = (4,-2) + (-4, 2)[/tex]

[tex]C'(x,y) = (0, 0)[/tex]

[tex]D'(x,y) = (3, -3) + (-4, 2)[/tex]

[tex]D'(x,y) = (-1, -1)[/tex]

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

We kindly invite to check this question on translations: https://brainly.com/question/12463306

In ΔKLM, l = 26 cm, k = 56 cm and ∠K=22°. Find all possible values of ∠L, to the nearest degree.

Answers

Answer:

10 degrees

Step-by-step explanation:

sdfsdfs

The possible value of ∠L in ΔKLM is approximately 22 degrees.

What is geometry?

Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.

A square triangle is a diagram made by using the squares and the triangle simultaneously. Here in the image below you can see we can make the square triangle by using one square and three triangles.

To find the possible values of ∠L in triangle ΔKLM, we can use the Law of Cosines, which relates the sides and angles of a triangle:

c² = a²+ b²- 2abcos(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our case, we know that:

KL = l = 26 cm (the side opposite to ∠M)

KM = k = 56 cm (the side opposite to ∠L)

∠K = 22° (angle opposite to KL)

To find the length of LM (the side opposite to ∠K), we can use the Law of Cosines:

LM² = KL² + KM^2 - 2KLKMcos(K)

LM² = 26² + 56² - 2(26)(56)cos(22°)

LM ≈ 61.3 cm

Now we can use the Law of Sines, which relates the lengths of the sides and the opposite angles of a triangle:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we can use this formula to find the value of sin(∠L):

sin(∠L)/KM = sin(∠K)/LM

sin(∠L)/56 = sin(22°)/61.3

sin(∠L) ≈ 0.374

∠L ≈ arcsin(0.374)

∠L ≈ 22° (rounded to the nearest degree)

Therefore, the possible value of ∠L in ΔKLM is approximately 22 degrees.

To know more about geometry follow

https://brainly.com/question/30428301

#SPJ3

Find the measures of the numbered angles in the kite.

Answers

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

In which step did Daniela make the first error?

Answers

you need to add an attachment
Add an attachment...

(WILL GIVE BRAINLIEST IF RIGHT PLEASE HELP 20 POINTS!!!)

What is the value of x?

Enter your answer in the box.

x = ?

Answers

x = 46 because 180 - 134 = 46

Answer:

46

explanation:

its supposed to make up 180 so you will subtract 180 from 134 and thats your answer

Read this excerpt from The People Could Fly


He turned into a dove. Anton flew and he flew, until he came to the inhabitants of the moon. He saw the tower of the moon. He flew to the window; he called for the ant:


"Ai, ai! Make of me an ant


That goes where nobody knows."


And he turned into an ant again. He went straight to the beautiful girl's room.


He said,


"Ai, ai! Make of me Anton,"


When he spoke, Anton turned into himself.


How does the plot influence characterization in this excerpt?


The exposition introduces Anton as a crafty planner.

The exposition suggests that the beautiful girl is lonely.

The rising action shows Anton creatively solving problems.

The rising action shows Anton falling in love with the girl.

Answers

Answer:

C. The rising action shows Anton creatively solving problems.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A



Answers

graph A because the slope and y intercept is correct on that graph

Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?

The side lengths of 8 cm, 5 cm and 13 cm _______ form a triangle.

Drop down options:

cannot
can

Answers

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

50 POINTS brainlist too! Help

Answers

Answer: A). V = 1/3(3)(3)(5)

Step-by-step explanation:

• Use the volume of a pyramid formula: V = 1/3Bh, where h is height, V is volume, and B is the base area.

• The base area is length (l) • width (w), so use that to substitute B.

• Substitute the values to get the answer: A). V = 1/3(3)(3)(5)

No problem! I'm happy to help you!

Please help due at 7AM!!

Answers

Answer:

For 1: C & D

For 2: A & C

(Do the Short answer on your own)

Step-by-step explanation:

Find the length of side x.
Give your answer to 1 decimal place.
105°
18 cm
15 cm
Х

Answers

26.2 is your answer

SOIUTION.
2. Omar is on a diet and eats no more than
1,800 calories per day. If he has consumed
385 calories so far today, how many more
calories he can consume?
Inequality
Solution
HELP HELP WILL MARK BRAINLEST ANSWER FAST

Answers

wouldnt the answer just be 1,415? 1,800-385 =1,415

I really need help...Will mark brainiest

Answers

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

What is the probability of landing on red and rolling a number greater than 2?
1/6

1/4

1/3

1/2

Answers

1/4 because there is 4 other numbers since there is only 6 numbers in a dice.
Other Questions
A definition for habitat!!!!! what is the value of x? Part BWhich quotation supports the answer in Part 4? PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest) Write about a time that technology has helped you complete a taskPlease help me Andrea said that that some branded bikes like Brompton folding bike was _____ expensive for her.A. fairlyB. mildlyC. too D. very Explain how malware can be used in cyber warfare or a cyber terrorism attack on a country? What do animals that are carnivores eat?whatever they can findfish and insectsother animalsplants and fungus Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Which of the following would have the MOST thermal energy cup of hot soupmug of warm coffeebowl of cold soupbathtub full of warm water "Where is Here?"What did you predict when you first saw the pictures, and the title of the story ?I give Brainliest! please help need answers ASAP! I will leave good reviews Kevin has a packet of 25 grams of sugar. How many milligrams of sugar does he have? A. 25,000 mg B. 27,500 mg C. 30,000 mg D. 50,000 mg please help me and before you try to answer the height is not 8 in but the volume is 25.12 in if that helps thank you WILL MARK BRAINLIST!! What makes italy famous? What moral values do u think a society should hold rolling two number dice and tossing one coin Which sentence accurately uses the homophones theyre, there, or their?Many of the students left there backpacks on the bus.Theyre going to come home as soon as the movie is over.I think I left the bags of groceries on the floor over their.These dogs bark at everyone, but there not dangerous at all. Give a synonym for the idiom "to call on"The word bogus means fictitious, false. What relationship might there be between this word and the protagonist of Parson's Pleasure? PLEASE HELP ASAP 2 : 6 : 7 = x : 36 : y