Mathematics High School

JOURNEY CONSISTS OF TWO DISPLACEMENTSTHE FIRST IS 500m IN A NORTHERNLY DIRECTION AND THE SECOND IS 200m IN AN EASTRENLY DIRECTION.DRAW TO SCALE A VECTOR DIAGRAM OF THESE DISPLACEMENTS

Answers

Answer 1

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The scale of the drawing is 50 m per grid square.

The magnitude of the resultant can be found using the Pythagorean theorem:

r = √(n² +e²)

r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters

The direction angle can be found using the arctangent function.

The angle east of north is ...

arctan(200/500) ≈ 21.8014°

The resultant is 538.52 meters in the direction 21.8° east of north.

Related Questions

PLEASE HELP ME!! I WILL MARK BRAINLIEST!! :<

Write a LETTER addressed to your friend as a reply to his/her request. In your letter, discuss/explain to him/her using your own words how to add and subtract
polynomials. Use examples to show them the step by step process of adding and subtracting polynomials.

Answers

Answer:

You're welcome

Step-by-step explanation:

Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x games after school today. Which equation can be used to find y, the total minutes Andrew will play video games today?

Answers

Given :

Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x games after school today.

To Find :

Which equation can be used to find y, the total minutes Andrew will play video games today.

Solution :

Number of minutes he play after school time, n = 15x .

Number of minutes already played, c = 32 .

So, total number of minutes he play games for today is :

y = n + c

y = 15x + 32

Therefore, equation which is useful to find number of minutes video game played per day is y = 15x + 32 .

Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answers

Answer:

the correct answer should be 144

Answer:

144

Step-by-step explanation:

180*20% is 36 so 180-36 is 144

(8+k³-6k⁴)+(4-3k⁴+8k²)

Answers

Answer:

12 + 8k² + k³ - 9k⁴

Step-by-step explanation:

(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)

8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²

(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)

(12) + (8k²) + (k³) + (-9k⁴)

12 + 8k² + k³ - 9k⁴

add and reduce to lowest terms: 5 1/4+4 5/6

Answers

Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

−6.7 + (−2 1/ 5 )

Answer:

The answer is 10 1/12

Step-by-step explanation:

Hope this helps!

PLEASE ANSWER

Which characteristic is shared by both prokaryotes and eukaryotes?

Answers

Answer:

Eukaryotes may also be single-celled. Both prokaryotic and eukaryotic cells have structures in common. All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. The plasma membrane, or cell membrane, is the phospholipid layer that surrounds the cell and protects it from the outside environment.

PLEASE HELP!!!!
3(2x -5)= 1
And explain

Answers

Answer:

x = 8/3

Step-by-step explanation:

distribute the 3 with everything in the parantheses

3(2x-5) --> 6x -15 = 1

move the 15 to the right side of the equation

6x = 16 and then divide by 6

x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

3 ( 2x - 5 ) = 1

→ Expand out bracket

6x - 15 = 1

→ Add 15 to both sides to isolate 6x

6x = 16

→ Divide both sides by 6 to isolate x

x = 8/3

I’m not sure of what the answer is. Can u help me, please and thank you.

Answers

Answer:

Step-by-step explanation:

the answer is 3 to your question

Solve for x

(I’ve tried everything I can think of, but I still haven’t been able to solve this. Please help!)

Answers

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180 {Angle sum property of triangle}

11x + 11x + 9 +9 +30 = 180

22x + 48 = 180

22x = 180 - 48

22x = 132

x = 132/22

x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

HELP
Which equations have exactly one y-value for any given x-value? Select all that apply.

Answers

Answer:

I believe its A. y=-x C and D.

Please correct If I am wrong Please and thank you

Step-by-step explanation:

Pls help me i'm so confused with this ;-;

Draw the solution set for each of the following inequalities.

Answers

Answer:

ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

What percent of $0.32 = $0.08

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

because we know the whole is .32 so that means that for 0.08 is 1/4 or 25% of 0.32

2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.

Answers

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

I will make you brainliest if correct. please explain how you got it if you can

Answers

They are parallel and if you have more questions like this a good website to help you answer desmos graphing calculator

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below thw water surface. A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver. What is the slope between the scuba diver and fish?

Answers

Given :

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.

A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.

To Find :

The slope between the scuba diver and fish.

Solution :

Horizontal distance between diver and fish is 20 feet.

Fish is 10 feet below the scuba diver.

Slope between scuba diver and fish is :

[tex]tan\ \theta = \dfrac{10}{20}\\\\tan\ \theta = 0.5[/tex]

Therefore, the slope between the scuba diver and fish is 0.5 .

6) 4n - 8 = -2n + 5n

7. 197=8(1-4a)+5a

Answers

Answer:

6) n = 8

7) a = 32

Answer:

6 is 8

7 is -7

Step-by-step explanation:

Mark sold 218 tickets for the school play and made $1,363. Adult tickets are $8 and
student tickets are $5. How many adult tickets did Mark sell?

Answers

Answer: 91

Step-by-step explanation:

Let adults tickets be a

Let students ticket be b.

The information in the question can be presented as an equation as:

a + b = 218 .......... i

8a + 5b = 1363 ......... ii

Multiply equation i by 5

Multiply equation ii by 1

5a + 5b = 1090 ........ iii

8a + 5b = 1363 ....... iv

Subtract iii from iv

3a= 273

a = 273/3

a = 91

Number of adult's ticket sold = 91

please help I am timed!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option 3

Step-by-step explanation:

If you get more of these just now that a y value of a graph in this case -2, will be outside of the radical or else it would start at 2 and keep going right above 0 due to the radical.

Answer:

the answer is C

Step-by-step explanation:

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Will give brainliest!!!!!!! Please help I need correct answer!!!

The citizenship clause of the Fourteenth Amendment is important because it

limited the number of people who can become citizens.

gave everyone free passports if they became citizens.

was the first time the Constitution defined what a citizen is.

restricted freed enslaved people from becoming citizens.

Answers

Answer:

Step-by-step explanation:

The citizenship clause of the Fourteenth Amendment is important because it was the first time the Constitution defined what a citizen is.

What is a clause?

A section, phrase, paragraph, or segment of a legal document, such as a contract, deed, will, or constitution, that relates to a particular point.

The Fourteenth Amendment :-

All persons born or naturalized in the United States and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.

No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty or property, without due process of law, nor deny to any person within its jurisdiction the equal protection of the laws.

Hence, the correct statement is :- it was the first time the Constitution defined what a citizen is.

Learn more about clause, click;

https://brainly.in/question/7722003

#SPJ7

helppp i don’t know the answer

Answers

I believe the answer is the first one ! Keep in your mind that the first part of the ordered pair is always the domain , and the second part of the ordered pair is the range !!
Don’t forget a brainliest if this helped ;)

Vera hiked a total of 138 miles in 12 days. She hiked the same distance each day. Write and solve a multiplication equation to find the number of miles m she hiked each day.

Answers

Answer:

11 miles ah day

Step-by-step explanation:

11.5 x 12

Answer:

138 divided by 12 =11.5

Step-by-step explanation:

or you can do 11.5 x 12 to check your answer

I’d like a explanation

Answers

Answer:

Its d

Step-by-step explanation:

It is d because he did sell 500 cars and tehy earned 1000 dollars :)

Could someone help me out with this please?

Answers

Answer:y=-x=5

Step-by-step explanation:

Which set of coordinates is NOT a function?
O {(5,5), (3, 9), (2, -1), (5, 8)}
O {(2,5),(3,9),(4, -1), (5,9)}
O {(-2,-5).(-3,5),(4,-5), (5,5)}

Answers

Answer:

O {(-2,-5).(-3,5),(4,-5), (5,5)}

Step-by-step explanation:

brainest plz

please answer the question below

Answers

Answer:

8 mm

Step-by-step explanation:

It would be 8 mm..... Mark me brainleast please

Sharon jarred 18 liters of jam after 9 days. How many days does Sharon need to spend making jam if she wants to jar 20 liters of jam in all? Assume the relationship is directly proportional.

?days

Answers

Answer:

Step-by-step explanation:

She would need to spend 10 days jarring jam I think

is the value of x true? x+5=5

Answers

Answer:

[tex]\huge\boxed{x\:=\:0}[/tex]

Step-by-step explanation:

x+5 = 5

x = 5-5

x = 0

Hence, the value is true

Hope it helps!<3

Answer:

its true as the value of x=0

Step-by-step explanation:

x+5=5

or,x=5-5

•°•x=0

Sabeena’s pen measures 144 millimeters long. Her pencil measures 18 centimeters long. How many centimeters longer is Sabeena’s pencil than her pen?

Enter the correct answer in the box.

Answers

Answer:

3.6 cm or 36mm

Step-by-step explanation:

So we know that there are 10 millimetres in a centimetre. So we can convert the 18cm into millimetres to make it easy to subtract

18cm*10=180mm

now take the pencil length subtracted by the length of the pen.

180mm-144mm=36mm

now if you want the answer in cm, convert it by dividing the answer by 10

36/10=3.6cm

Hope This Helps :)

Answer:3.6 cm

Have a great day!

Solve for x.
5x−2(x+1)=14

x =

Answers

Answer:

x=16/3

Step-by-step explanation:

5x−2(x+1)=14

Distribute

5x -2x -2 =14

Combine like terms

3x -2 =14

Add 2 to each side

3x-2+2 =14+2

3x=16

Divide each side by 3

3x/3 = 16/3

x=16/3

Answer:

x = 16/3

Step-by-step explanation:

5x - 2(x + 1) = 14

~Simplify

5x - 2x - 2 = 14

~Combine like terms

3x - 2 = 14

~Add 2 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

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