please help!

if a trail runner zig-zags 15m to the west and then 15m to the east:

what is the runner's total distance?
what is the runner's total displacement?​

Answers

Answer 1

Answer:

Total distance = 30m

Total displacement = 0m

Step-by-step explanation:

a) Distance is a scalar quantity that does not specify direction

Hence if a trail runner zig-zags 15m to the west and then 15m to the east, the total distance will be the sum of the distance travelled both to the west and east.

total distance =  distance through west + distance through east

total distance = 15m + 15m

total distance = 30m

Hence the runner's total distance is 30m

b) Displacement is a vector quantity and it specifies direction. Hence we will take into consideration the direction taken

Since East direction is positive, the displacement through east is +15m

Since West direction is negative, the displacement through west is -15m

Total displacement  = +15 - 15

Total displacement = 0m

Hence the runner's total displacement is 0m


Related Questions

help me please?
The function ƒ(x) = 2x + 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left
an upward shift of 1 unit.
None of these choices are correct.

Answers

Upward shift of one unit

Bonjour, svp aidez-moi

b) Décomposer 30 en produits de facteurs premiers.

Answers

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

this is a trigonometry question
so SIN COSIN AND TANGENT​

Answers

Answer:

x = 6.71

Step-by-step explanation:

use Pythagoras.......

Functions and Graphing complete each table

Answers

Answer:

table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6

Step-by-step explanation:

What is the Surface Area of the figure below?

A. 268 square inches


B. 134 square inches


C. 21 square inches


D. 240 square inches

Answers

Answer:

34.98 yds²

Step-by-step explanation:

To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.

We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.

2.40 · 2.50 = 6

Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.

Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.

Add to our equation, for 12 + 11.7.

For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.

The answer is 34.98 yds². Good luck :)

Find the area of the semi circle with a radius of 2 feet

Answers

Answer:

area of semi circle πr=π×2=44/7 feet²

Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175

Answers

Answer:(x-0)^2 + (y-0)^2=30^2

Step-by-step explanation:

The equation of the circle is x^2 +y^2 = 7656.25

How to determine the equation of the circle?

The given parameters are:

Center = (0,0)

Diameter = 175

The equation of a circle is represented as:

(x - a)^2 +(y - b)^2 = r^2

Where

Center = (a,b) = (0,0)

r = radius = 175/2

So, we have:

(x - 0)^2 +(y - 0)^2 = (175/2)^2

Evaluate

x^2 +y^2 = 7656.25

Hence, the equation of the circle is x^2 +y^2 = 7656.25

Read more about circle equations at:

https://brainly.com/question/1506955

Jonathan is preparing for a triathlon he biked 3.5 miles on Thursday and 4.25 miles on Friday on Saturday he biked 12 miles how much farther did he bike on Saturday than he did on Thursday and Friday combined

Answers

Answer: 4.25 miles

Step-by-step explanation:

The distance he biked on Thursday and Friday combined is:

= 3.5 + 4.25

= 7.75 miles

On Saturday he biked 12 miles. The number of miles he biked over Thursday and Friday is:

= 12 - 7.75

= 4.25 miles

Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices

Answers

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

HELP PLEASEEEEE I'll give you a crown

Answers

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

Alina has to spend $30 000 on expenses each year. If that amount of money is 40% of her total yearly earnings, then how much money does Alina make per year?

Answers

Answer:

$75000

Step-by-step explanation:

Given data

Let her yearly earnings be x

so

40% of x= $30000

40/100*x=30000

0.4x=30000

x=30000/0.4

=$75000

Hence the total amount made per years is

$75000

Suppose each cube in this figure is a -inch cube. Select all that are true.



The dimensions of this prism are 3 inches × 2 inches × 2 inches.
The volume of this prism is 15 cubic inches.
The volume of this prism with -inch unit cubes is the volume of the prism with 1-inch cubes.
There are 96 cubes in the prism.

Answers

Answer:

Can you attach the figure?

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30

Answers

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

[tex]3x-5y=-30[/tex]

Move the -3x to the right side

[tex]-5y=-3x-30[/tex]

Divide both sides by -5

[tex]y=\dfrac{3}{5}x+6[/tex]

This should be your answer, let me know if you need any clarifications, thanks!

Answer
y=6+3/5x
Explanation

8 squared + B squared = 10 squared

Right triangle Pythagorean theorem

Answers

Answer:

6

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

Hope I helped!! (p.s. maybe brainliest)

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle

Answers

The height of the triangle would be

7.2 bc

10x7.2:72

So to find the area of a triangle u have to divide by 2, so

72 divided by 2 is 36, so 7.2 is the height

Work out the value of x when
2^30 / 8^9 =2^x

Answers

X=3 lollllllllllllllll

Tony's friends ate 0.6 of the appetizers he made. Which point on the number line best represents 0.6?

A. R
B. S
C. Q
D. P

Answers

It’s letter c, cause
P=0,4
Q=0,6
R=0,8
S=1,0

Elizabeth has $35.50 to spend on Math tutoring. Each session costs $9 plus a one- time registration fee of $7.45. Let the variable t represent the number of tutoring sessions. Which equation represents the number of sessions Elizabeth can attend for $35.50?​

Answers

Answer:

2 tutoring sessions

Step-by-step explanation:

do 9 + 7.45 = 16.45 x 2 = 32.9. You can’t add another 16.45 otherwise it’d go over 35.50

Answer:She can afford 3 lessons.

Step-by-step explanation: If you strt

with the fee of 35.50 you can subtract the one-time fee (7.45) to make it 28.05 and then divide that by 9 to get 3.12 which means she can afford tree lessons.

pls whats the solution to this question.
(x-1÷x)^6.
and also solve with full workings.​

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex](x - 1 \div x) {}^{6} [/tex]

Arrange the powers

[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀

pls help figure out part c, part e, and part f

Answers

part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle

an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.

Answers

Answer:

83.5km/h

Step-by-step explanation:

To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set


CAN SOMEONE PLS HELP I RLLY NEED HELP ASAP ANY HELP WOULD BE ENOUGH PLS AND TY PLS

Answers

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (80 - 30)° = 0.5 × 50° = 25°

Answer:

x = 25°

Step-by-step explanation:

Hope this helps

Solve for x. The triangles in each pair are similar.

Answers

Answer:

...............................

I need help plz answer!!!

Answers

Answer:

No.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you graph the equations, then you see that (3,8) is not the solution.

PLZS HELP I NEED IT BY TODAY!

Answers

90-59 = 31
hope this helps

Make a graph equation with Y-X = 5

Answers

Lets put this in y=mx+b form
First we add x to both sides in order to isolate y
That leaves us with y=x+5 which is your answer.

HELPPPPPP PLSSSS HELPPPPP PLLLLLSSS HELPPPPP

Answers

Answer:

5x+3=23.        Subtract.        -3

Step-by-step explanation:

5x+3=23

5x=23-3

5x=20

x=20÷5=4

x=4

Which choice gives the solution of this inequality? 3t+ < 28​

Answers

Answer:

its 9.33 reapetting or just 9.33

Step-by-step explanation:

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 27000 shirts can be sold at a price of $39, while 33000 shirts can be sold at a price of $15. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts

Answers

30000000 you are welcomeeeeeeeeeeeee

I need to know the vertex of this parabola can someone help me ASAP

Answers

The vertex is located at (-1,-9)
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