A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

Answer 1

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

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Related Questions

What would x equal( rounded to the nearest tenth)

Answers

You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
8.5 i think cause i used tan but i haven’t done this in a while

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.

A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

Answers

Answer:

(B)negative slope

(C)constant slope

(E)decreasing function

Step-by-step explanation:

just took the test :)

Answer:

B,C,E

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

It’s B Ps U gottttt thisssss

evaluate the expression

Answers

Answer is here in a file


A rectangular rug measures 9 feet by 6 feet. The rug has two
nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue.

What percent of the rug is blue? HELP HELP

DO NOT ANSWER “ DOWNLOAD HERE” STOP DOING THAT I ACTUALLY NEED HELP

Answers

Answer:

54%

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Trust me



A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.



True or False

A. The difference in height between the pelican and the heron is -33 feet.

Answers

Answer:

False

Step-by-step explanation:

This is because there both above sea level and 50-17=33 not -33

A 34-foot tall utility pole is supported by two wires that are anchored 8feet from the base of the pole.how many feet of wire is needed for the support wires?

Answers

Answer:

35 feet

Step-by-step explanation:

The problem is a right angle triangle problem and we have to solve it using pythagoras theorem

Let the length of the wire be x

So;

x^2 = 34^2 + 8^2

x = √34^2 + 8^2

x = 35 feet

I = prt solve for( r)​

Answers

Answer:

r = [tex]\frac{l}{pt}[/tex]

Step-by-step explanation:

Given

l = prt ( isolate r by dividing both sides by pt )

[tex]\frac{l}{pt}[/tex] = r

Please help ASAP i don’t know how to do this

Answers

Answer:

c = 74

d = 122

a = 58

b = 48

Step-by-step explanation:

C: a triangle always equals to 180, so 48 + 58 - 180 = 74

D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122

A: Alternating interior angles of a parallel line equal to each other, so it would also be 58

B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48

Describe two different ways to find the total area of the park.

Answers

Answer:

1. Combine the like terms from all 3 sections then subsite for X.

2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.

Step-by-step explanation:

The two ways to find the total area of the park are:

Add the Areas of Each Section

Use Geometric Shapes

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Method 1:

Add the Areas of Each Section

We can find the total area of the park by adding the areas of each section. Therefore, the total area is:

Total Area = Game field + Picnic field + Recreation area

Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)

Total Area = 3x² + 175x + 1200 ft²

Method 2:

Use Geometric Shapes

Another way to find the total area of the park is to use geometric shapes that represent each section.

We can see that the Game field and Picnic field have the same area of

x² + 95x + 450 ft², which we can represent as a rectangle.

The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.

Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.

Total Area = Area of Rectangle + Area of Triangle

Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)

Total Area = 3x^2 + 175x + 1200 ft^2

Thus,

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

Learn more about expressions here:

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Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).

Answers

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b  [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b  [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2  [Solve for b]

y = 1/2x + 1/2

Answer:

y= 1/2x + 0.5

Step-by-step explanation:

plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

GiVing
brains!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which expression has a value of 13?


(20 ÷ 4) − 4 + 3 x 2

(18 ÷ 2) + 6 ÷ 6 + 3

(16 ÷ 4) + 3 x 4 − 1

(10 ÷ 2) − 3 + 4 x 2

Answers

(18/2)+6/6+3

Step-by-step explanation:

(18/2)=9

6/6=1

9+1=10

10+3=13

Use PEMDAS

HELP ASAPP!!!! PLZZZ

Answers

Answer:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4

i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE

Answers

Answer:

B is twice the size of A, so the ratio would be 2:1.

Step-by-step explanation:

two printers working together can print a 250 page book in 30 minutes. printer a takes twice as long as printer b to print the same book. how long would it take each printer working alone to print the book. let the variable x = how many minutes it takes to print the book. Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.​

Answers

Me das mas información porfa?

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)


Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?

Answers

I believe they need 32 walkers.
[correct me if I’m wrong]
why: if their goal is $1000 and they already have $232 you can subtract $232 from $1000 which would leave you with the rest of the money they need: $768. By dividing $768 by $24 (the amount of money they will raise for each person) you’ll end up with 32, being the number of walkers you’ll need because 32x24= $768, the remainder they need.

Does anyone know this cause I need to understand how to do this.

Answers

Answer:

Triangle TSR

Step-by-step explanation:

This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.

Answers

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

find the area will mark brain list

Answers

Answer:

I guess the dude in the comments helped you out first but when that answer gets deleted this will be here

Step-by-step explanation:

plz give big brain crown

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272

Answers

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

please help, find the area​

Answers

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

Help me I’m struggling

Answers

I am not sure how to do the "Two different approaches" but I can tell you the answer.

(750-182.9) divided by 5.35 = Number of pizzas left to sell = 106

106 = answer

Hope this helped! If it did, please give brainliest! It would help a lot :D

what's the value of x?

[tex] {x}^{2} = 625[/tex]

Answers

Answer:

hey mate!!

Step-by-step explanation:

x^2=625

x=√625

x=25

hope it helps

Plrase quick hurry !!!

Answers

the answer is 30 hope this helps
30 i hope you pass :)

i’ll give brainliest help plz

Answers

Answer:

The first question on the very left it shows

Step-by-step explanation:

go left from main question and up

a dozen exercise books cause $840.what is the cost of four of the same exercise book
280

200

300

260​

Answers

280 because 840 divided by 12 ( a dozen) is 70. So 70 times 4 books equals 280. Lmk if I’m wrong:)

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]

Dozen of exercise books costs $ 840. What is the cost of four of the same exercise book ?

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]

Cost of dozen of exercise books [ 12 exercise books ] = $ 840

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]

Cost of four of the same exercise books

✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

Firstly , Find the cost of 1 exercise book

[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]

Find the cost of 4 exercise books

[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]

[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night !ツ

Let me know if have any questions regarding my answer! ♪

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

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What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. 6.3 Incorrect. The surface area of an equilateral triangular pyramid is given by the formula surface area = 2bh. The surface area of this equilateral triangular pyramid is 2bh = 2 × 6 cm × 5.2 cm = 62.4 square centimeters. Enter the correct answer. the net of an equilateral triangular pyramid

Answers

Answer:

the surface area of the pyramid is 62.4 square centimeters

Step-by-step explanation:

The computation of the surface area of the pyramid is shown below:

As we know that

The surface area = 2bh

= 2 × 6 cm × 5.2 cm

= 62.4 square centimeters

Hence, the surface area of the pyramid is 62.4 square centimeters

What is the value of the expression. (-8+4)- (3-9)

Answers

Answer:

2

PLZ MARK BRAINLIEST

Step-by-step explanation:

(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2

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