Allie goes cruising on her dirt bike. She rides 2 km north, 4 km west, 13 km south, 10 km east, 1 km south and 6 km east. What was her displacement?

Answers

Answer 1

Answer:

16.97km

Step-by-step explanation:

To get the displacement, we will use the pythagoras theorem

Sum of distances along the horizontal (east and west) is expressed as

dx = 10 - 4 + 6

dx = 6+6

dx = 12km

Sum of distances along the y;

dy = 2 - 13 - 1

dy = -11-1

dy = -12km

Find the displacement using the pythagoras theorem

D = √(12)²+(-12)²

D = √144+144

D = √288

D = 16.97km

Hence her displacement is 16.97km


Related Questions

please help me on this will give you brainliest!!

Answers

Answer:

a) -13 B) 82

Step-by-step explanation:

a) -34+21= -13

b) 73+9= 82

A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.

Answers

Answer:

Four Is The Answer

Step-by-step explanation:

Thx Me Later

$750 was earned in interest over 3 years. Find the interest rate if $5,000 was originally invested

Answers

Answer:

5% intrest yearly

Step-by-step explanation:

27=15+n I can not get this one ether

Answers

Answer:

n= 12

Step-by-step explanation:

27=15+n

step 1. simplify

27=n+15

step 2. flip the equation n+15=27

step 3. subtract 15 from both sides

n+ 15 - 15 = 27 - 15 =

n=12

Answer:

12.

Step-by-step explanation:

We don't have the other number, so we must do the reverse operation, which is subtraction. So we have to subtract 27 from 15. 7-5 is 2, and 20-10 is 10. Add those together and you get 12.

A factory increased its production by 22%and produced 4900tonnes. How many tonnes was it producing before

Answers

Answer:

whfjajfigiiwitohoeirtiririri neji

together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?

BRAINLIEST WILL BE GIVEN

Answers

Answer:

10 secs for Jane and Dien is 15 secs

Step-by-step explanation:

Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are:

Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6

Hence:

[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]

[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]

[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]

[tex]x^2 - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

More can be learned about the together rate at https://brainly.com/question/25159431

Which of the following is the slope of the line that passes through the points (- 2, 8) and (10, - 1)
(1) -1/2
(2)-3/4
(3)7/8
(4)9/8

Answers

Answer:

2. -3/4

Step-by-step explanation:

slope formula is y2-y1/x2-x1

-1-8/10-(-2)

simplify the two negatives make a positive

-9/12

simplify

-3/4

Please solve the proof in the picture. It uses either all of the lines or all but one.

Answers

Answer:

we cant see the picture-

Step-by-step explanation:

Answer:

Step-by-step explanation:

so do i download it?

A scale model NASA is working on for the space shuttle is built in the ratio of 1:15, meaning the actual space shuttle is 15 times larger. If the rocket fuel container on the model is 5 inches long, how many inches long is the rocket fuel container on the actual space shuttle?

Answers


The rocket fuel container on the actual shuttle is 75 in. long

Ratio of the model: actual shuttle
1:15

Ratio of fuel tank on model: fuel tank on actual shuttle
5: (unknown)

Multiply 5 by 15 to find the unknown value.
5 x 15 = 75 inches long

Answer: 75 inches

Step-by-step explanation:

From the question, we are informed that a scale model NASA is working on for the space shuttle is built in the ratio of 1:15.

If the rocket fuel container on the model is 5 inches long, the number of inches long is the rocket fuel container on the actual space shuttle will then be:

= 5 × 15.

= 75 inches

Find the area of this figure.
A = in^2

Answers

Answer:

34

Step-by-step explanation:

Answer:

[tex]34in^2[/tex]

Step-by-step explanation:

First, you should find the area of the trapezoid which the formula for that is:

[tex](b1 + b2)h/2[/tex]

So, you will ad up 7in and 3in, and you should get 10in.

Now multiply 10 in by the height which is 5in, so it will be 50in^2. Then you have to divide that by 2 turning it into 25in^2.

For the top part, it is basically a triangle so you just multiply 3 by 6, giving you 18/2 = 9in^2

Add the two together and you should get 34in^2

Which best describes the association shown in the scatter plot?

A. no association
B. strong positive
C. moderate positive
D. strong negative

Answers

Answer:

strong negative

Step-by-step explanation:

13) Find the measure of an exterior angle of a regular 20-gon.*
360
n
A) 18°
OB) 20°
0 C) 162

Answers

C is the best
explain

Paul’s dad drives on the highway at an average rate of 70 miles per hour. If the entire trip is driven on a highway, how many driving hours will be required for the trip

Answers

Answer:

The answer would be based off of how many miles the dad went so if he went to say 140 miles then it would be 2 hours.

Step-by-step explanation:

Just go to your calculator and divide how many miles he went by 70 then it will give you the amout of hours he went.

Have a great day! :)

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3

Answers

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is  54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

how do you know 3001x25 is (whatever the answer you get) without using a calculator
explain

Answers

Answer:

75,025

Step-by-step explanation:

There are many ways to solve this equation, you can divide 3001 by 4, this way you will know how many hundereds will be in your answer. 4*25=100, so in this case, 3001/4 is 750.25. Then you multiply 750.25 by 100. 750.25*100=75,025.

The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?

Answers

Answer:

C. ΔFGH~ΔJKL

Step-by-step explanation:

I'm not sure what the answer is. If you know, please help me out.

Answers

Answer:

Is y = (x+8) (x+3)

Answer:

1. y=(x+8)(x+3)

Step-by-step explanation:

Problem to solve:

What is the variables in the expression

x2 + y - 2 - 16

Answers

Answer:

The variables in your equation are x and y;

the numbers in your equation are 2, -2, and -16

Find the indicated side of the triangle

Answers

Answer:

It's a 30-60-90 triangle so x=6

Step-by-step explanation:

Answer:

90 I think bc I saw the right angle

the sum of three plus three times x equals 129 which color​

Answers

Answer:

Yellow I think

Step-by-step explanation:

(3+3)*x=129

Green? I’m not 100% sure though

please help me lol it’s due today

Answers

Answer:

0091880102993201019200299219191

[tex]1 \times 666 = 1000[/tex]

Step-by-step explanation:

1+1

Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain your thinking.
1) Suppose that you have a new candy jar with the same ratio of Jolly Ranchers to jawbreakers that Mrs. Pascal had but it contains 100 Jolly Ranchers. How many jawbreakers would you have?

Answers

Answer:

260 jawbreakers

Step-by-step explanation:

The ratio is 5:13 so if the value of Jolly ranchers increased 20x then the number of jawbreakers would also increase by 20x. There are 260 jawbreakers.

Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?

Answers

Answer:

228.64 ft

Step-by-step explanation:

Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.

Given that t = 4s and t = t1 + t2.

So t1 + t2 = 4  (1)

Also s = 16(t1)² and t2 = s/1100

Thus t2 = 16(t1)²/1000

From (1), t2 = 4 - t1

So 4 - t1 = 0.016(t1)²

0.016(t1)² + t1 - 4 = 0

(t1)² + 62.5t1 - 250 = 0

Using the quadratic formula to find t1,

[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]

Since t1 cannot be negative, t1 = 3.78 s

So, s = 16(t1)²

= 16(3.78)²

= 16(14.29)

= 228.64 ft

pls answer this....................................................................................................................................................................................................................................................................................................................................................................................is -5x+10 proportional and if it has a positive y intercept

Answers

Answer:

d) the graph will not pass through  (0, 0).

Step-by-step explanation:

a non-proportional graph doesnt start at 0/doesnt go through the origin.

$500 12% 3years what is the interest

Answers

Answer:

$180 is the Interest.

Hope it helps!

Answer:

702

Step-by-step explanation:

PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.

Answers

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

What is an exponent?

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-1, -11), (16, -8)

Answers

Answer:

m = 3/17

Step-by-step explanation:

M = -1y/-11c + 16y/-8x = 3/17

A bag is filled with red,blue,and green marbles.

Red-70
Blue-120
Green-60

Marble is pulled out of random from the bag. What REDUCED fraction and percent represent the probability that the marble will be green?
HELPpppppp!!!!

Answers

Total number of marbles = 70 + 120 + 60 = 250
Prob of green = 60/250
Reduced fraction = 6/25
Percentage = 24%

A photo is 15 centimeters high and 9 centimeters wide. Mikael wants to proportionately shrink it so its height is 6 centimeters high. How wide would it then be? Find the missing measurement using a proportion

Answers

Answer:

6:3.6

Step-by-step explanation:

The hight of the photo=15

so,15=6

15 :- 2.5=6

9 divided by 2.6= 3.6

therefour, the answer will be 6:3.6

Ava owns a small business selling clothing. She knows that in the last week 35 customers paid cash, 13 customers used a debit card, and 5 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.​

Answers

Answer:

Why dont you just do the steps

Step-by-step explanation:

First you have to add it all together then take your second number, aka 35 which gives you

35/53 which then you just get your fraction from that

Probability of next customer paying cash is [tex]\frac{35}{53}[/tex].

Given that,

Number of customer paid cash (a) is 35.Number of customer paid by debit card (b) is 13.Number of customer paid by credit card (c) is 5.

According to the scenario, computation of the given data are as follows,

Probability of next customer paying cash =  [tex]\frac{a}{(a+b+c)}[/tex]

By putting the value, we get

Probability = [tex]\frac{35}{(35 + 13 + 5)}[/tex]

= [tex]\frac{35}{53}[/tex]

Learn more about probability : https://brainly.com/question/24361544

Other Questions
Identify the italicized clause.After you finish your lunch, you may go.nounadjectiveadverb Write a phrase for EACH expression: 10yx - 312n large scale movement of African Americans after World WarScopesTrial Quota SystemAnarchist Great Migration Please help I will mark brainliest .. what caused operation torch? Think about a situation at school where you or someone you knowhas demonstrated grit. Describe the situation. Pls help me Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to be in blue color If a card is randomly selected, what is the probability of drawing spade or club? . Which of the following views of weather is an example of systems thinking?Weather consists of several components that each contribute to the overall system.O Weather is a system that determines whether an area will rain or stay dry.O Weather is a system that can contribute to the overall climate of an area.O weather has the overall purpose of distributing heat throughout the Earth. Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of$72,500. The board of directors at ZAP voted to give all employees acost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What willSimmons's salary be for the upcoming year? You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.what are the odds against the spinner stopping at a blue section?(Answer is a fraction) Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold. Let n represent the fold number and t(n) represent the thickness of the paper.Which exponential function represents this scenario? Estimate the thickness of paper if it is folded 4 times What is the measurement of ABC? Let me know, this question is 13 points. what level of an organism is the stomach? 1AIA3If A1 = 27A and A3 = 1.9A, what would A2 read? x(3x - 5) please and 5x(x - 3y) urgent ! ??????????????????????????? Given:x 25.2Choose the solution set.{X Ix>10- }7O[xlx>35}2{x1x You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You have to reach your hand into the tsunami and select a duck. If there is a star on the bottom of the duck, you win. The game claims to have 20 ducks with stars among the 100 ducks. After each round you must place the duck back in the tumultuous water. Let W=the number of times you win if you play this game 10 times. a. Explain why Wis a binomial random variable. b. Find the probability that you win exactly 3 times. Why are bonds considered " fixed income investments"?