Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet Jane at the end of her run. How much farther does Jane travel than her trainer? Answer the questions to find out. 1. What is the total distance Jane travels biking and running? Include units with your answer. Write your answer in the space below. 2. Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes. Write your answer in the space below. 3. Solve your equation to find the distance Jane's trainer bikes. Show your work. Write your answer in the space below. 4. How much farther does Jane travel than her trainer? Write your answer in the space below.

Answers

Answer 1

Answer:

can you Please put screen shot in there

Step-by-step explanation:

Answer 2

22.34 miles much farther does Jane travel than her trainer.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, given that,

she leaves the health club and bikes 16 miles south.

Then, She then runs 12 miles west.

so, we have,

It must be, hypotenuse = 16 miles

                  base= 12 miles

We have to find, the height.

by Pythagorean theorem, we get,

the distance Jane's trainer bikes=√16²-12² miles

                                                       =√32 miles

                                                       =5.66 miles

So. she travels in total = 28 miles

22.34 miles much farther does Jane travel than her trainer.

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Related Questions

1.Mario purchased 15 tickets to a football game for $13.50. How much would it cost to purchase 21 tickets? $ ____________

2.Student Council sells bottled water at the cheerleading competition as shown below. Determine of each statement is true or false.

Cases sold: 3 6
Time (min): 20 40

a) They sell 27 cases in 3 hours
b) They sell 12 cases in 1 hr 20 minutes
c) They sell 18 cases in 2 hours
d) They sell 24 cases in 2 hrs 40 minutes
e) They sell 36 cases in 3 hrs 20 minutes

Answers

Answer:

1. $18.90

2. Every statement is true EXCEPT e

Step-by-step explanation:

For number 1. We first need to find how much one ticket costs. To find this we divide profit by number of tickets sold. So,

13.50/15 = $0.90

So to find the cost of 21 tickets we times the cost per ticket by 21

21 x 0.90 = 18.9

So $18.90

2.

They sold 6 cases in 40 minutes.

6/40 = 0.15

They sell 0.15 cases per minute

For a we wanna see if they can sell 27 cases in 180 minutes so

0.15 x 180 = 27

So a is true

B)

0.15 x 80 = 12

So b is true

C)

0.15 x 120 = 18

C is true

D)

0.15 x 160 = 24

D is true

E)

0.15 x 200 = 30

E is false

Last month, a store sold 110 video games. This month, the store sold 77 video games. Find the percent decrease. Round the nearest percent
A 33%
B 70%
C 30%
D 43%

Answers

Answer:

c. 30%

Step-by-step explanation:

i’m pretty sure it’s c. 30%

Jane has 1 quarter,3 dimes, and 4 nickles what percent of a dollar dose jane have?

Answers

Answer:

75%

Step-by-step explanation:

Step-by-step explanation:

quarter = 25¢

dime = 10¢

nickel = 5¢

1 quarter (25¢) + 3 dimes (3 x 10¢, which is 30¢) + 4 nickels (4 x 5¢, which is 20¢)

25 + 30 + 20

25 + 50

75¢

1 dollar is 100¢

75/100 = 75%

Which point is located at (-1,11/4)

Answers

Answer:

The answer to your question is A

Please mark this answer as brainliest.

Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $875.00. On Saturday, the store will have a sale and discount the computer by 30%. How much will Lea pay (without tax) when she buys the computer with a 30% discount? Help please this is due in 15 min thank you!! with explanation

A) $262.50
B) $350.00
C) $612.50
D) $1,137.50

Answers

Answer:

C)$612.50

Step-by-step explanation:

Plss make me BRAINLIEST

If there is 30% discount, u will pay 70%(7/10) of actual price.

70% of $871

7/10 x 871 = $612.50

Answer:

$612.50

Step-by-step explanation:

875 x 30% = 262.50

875- 262.50= $612.50


Find the distance between points (3,-5) and (-2, -1) on the co-ordinate plane. Write the answer to the hundredth.

Answers

Distance: sqr(x2-x1)^2 + (y2-x1)^2
Sqr (-2-3)^2 + (-1+5)^2
Sqr (-1)^2 + (4)^2
Sqr 1 + 16
Sqr 17 = 4.12
The distance is 4.12
(Check my work)

Which two changes are caused by shear acting on Earth's crust?​

Answers

Answer:

Two slabs of rock slide past one another

one slab of rock breaks into two peices

Step-by-step explanation:

The two changes caused by the shear on the earth crust are; A: One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;

How to describe the shear acting on Earth's Crust?

Shear stress usually occurs when two plates rub against each other as they move in opposite directions.

Now, when shear stress occurs on the earth's crust, the force generated by the stress tends to push some of the crust in different directions. This would mean that a large part of the crust can break off, which makes the plate size smaller.

Thus, when a shear stress acts on the earths' crust, One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;

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Jessica skated 4 laps in 32 seconds. Which of the following is an equivalent rate of skating?

А 6 laps in 120 seconds

B 10 laps in 205 seconds

C 6 laps in 130 seconds

D 10 laps in 215 seconds

Answers

Answer:

A

Step-by-step explanation:

Evaluate each value expression for the given value of x: 2x+10, x=7

Answers

Answer: 24

Step-by-step explanation: Here, we have the expression 2x + 10,

and we want to evaluate the expression when x = 7.

To an evaluate an expression, we simply plug

the value of the variable into the expression, and solve.

So here, since x = 7, we have 2(7) + 10.

2(7) is equal to 14 so we have 14 + 10 which is equal to 24.

So the value of our expression when x = 7 is 24.

** SOLVE FOR N**

4n / 4 = 311 / 4
also please make sure it isnt a decimal

Answers

Answer:

Actual answer would be 77.75 but you would answer as 78 I believe.

Step-by-step explanation:

Since they're over the same denominator this means that 4n= 311.

311/4=n

n=77.75

Or for you it would be 78 rounded up.

Or for a fraction it would be 77 1/4.

(Thanks for reminding me)

If point (1,0) is on the line whose equation is y=2x+b, what is the value of b?

Answers

Answer:

-2

Step-by-step explanation:

Here we just need to substitute the values in. 0=2(1)+b.

2(1)=2

0=2+b

-2   -2

-2=b

Hope this helps :-)

9 men working in a factory produce a. certain number of pans in 6 working days. how long will it take 12 men to produce the same number of pans if they work at the same rate?​

Answers

Answer:

It would take 12 men 4.5 (four and a half) days to do the same amount of work as the 9 men in 6 days.

Step-by-step explanation:

9 is 75% of 12 (12*.75=9) if they work at the same rate it would take 75% of the time it did for the 9 men (6hrs*.75=4.5)

At the end of 5 years, how much money would you have in total if you invested $600 and earned 4% simple interest?
A $620
B $624
C. $720
D. $740

Answers

Answer:

720

Step-by-step explanation:

Task: You and your friend were taking turns rolling a die when you thought of a game: If a one is rolled by either player, you pay your friend 50 cents, but when a different number is rolled, your friend pays you 10 cents. After 30 rolls, it turned out that you were even, and neither of you won anything.

Answers

Answer:

u both got rickrolled

Step-by-step explanation:

\_( XD)_/

Answer:

6 times

Step-by-step explanation:

'one' 50 cents, other 10 cents

If you get 50 cents you have to roll other number 5 times to minus 50 cents (50 divided by 10 is 5)

because they got nothing after roll so if they get a cents they have to minus it rolling other number

So if you divide 30 (the number of rolling) by 5 (the number of times to minus 50 cents) so the answer will be 6

Sorry this was too confusing

Please help will mark brainliest if correct

Answers

I think the opposite angles are congruent

3
What is the slope of the line y = 3x--?
4

Answers

It’s 4 because if you add the sides of the evens it makes it 4

so this equation is in y = mx + b form or slope intercept form

you can see that the slope is 3x since mx is slope

remember! m is always slope!

please help pls and ty​

Answers

no because the exact opposite of -3 would be 3.

PLEASE HELP WITH #6 DUE SOON!!

Answers

Answer:

Answer:

I would say triangle VQB is congruent to the triangle TJE. Not entirely sure about the transformation, try reflecting it over y=x or y = -x,, translate it, and rotate it

(Can't look at it right now fully cause i have my own math hw to do lol)

For 8, FAKE is congruent to CMDI, (Transformations from FAKE to CMDI) then it's a reflection over the y axis, and reflect over the x axis.

#teamtrees #WAP (Water and Plant)

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of the function that represents the average cost per person?

The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases

the horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

The vertical asymptote x = 0 represents that the cost per person approaches $0 as the number of people increases

The vertical asymptote x = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.​

Answers

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

The horizontal asymptote y = 11.95 reflects a cost each person reaching $11.95 because as number of individuals rises.

Horizontal asymptotic y = $11.95

Cost per person approaches = $11.95 per person increase

Answer:

B) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Step-by-step explanation:

Edge 2020

Distance = 30 m, Time = 6 minutes, Speed = ?


Helpppp

Answers

Answer:

its 5 m/minute

Step-by-step explanation:

you have to use the units that are given in the equation

pls mark brainliest if you geel like it...

Answer:

5 minutes

Step-by-step explanation:

6 min x 5 min = 30

i just multiply

how to find the value of x in a triangle (5x-11)°, (2x+20)°, (11x-63)°

Answers

Answer:

x=13

Step-by-step explanation:

Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.

So, (5x-11) x (2x+20) x (11x-63) = 180.

Now, take away the parenthesis and add up all the like terms.

This should = 18x-54 = 180.

Now solve like you regularly would. Add 54 on both sides which equals,

18x=234. Now, divide 18 on both sides.

x = 13.

Hope this helps.

Answer:
x=13

Explanation:
All the angles in a triangle add up to 180 degrees, and this is true for every and any triangle. Knowing this, we can set up this equation and solve:

(5x-11)+(2x+20)+(11x-63)=180
1) Open up parentheses
5x-11+2x+20+11x-63=180
2) Combine like terms
5x+2x+11x-11+20-63=180
18x-54=180
3) Add both sides by 54
18x-54+54=180+54
18x=234
4) Divide both sides by 18
18x/18=234/18
x=13

I hope this helps!

Ties are on sale for a buy one get one 30% off deal. You pick out two ties that cost $24.95 each. What will the total cost be for the two ties?

Answers

Answer:

42.415

Step-by-step explanation:

if its buy one get one then 24.95 plus one more with a 30 percent off so 30percent off of 24.95 is 17.465 plus 24.95 is 42.415

Given that AD is the perpendicular bisector of BC, AB=21.3, AC=21.3, and DC=9.1, identify BC.

a) BC = 42.6
b) BC = 18.2
c) BC = 9.1
d) BC = 4.55

sorry i can't upload a picture of the triangle but this is from an luoa assignment. i know it's not C

Answers

answer. B hope this helps

The length of BC is 18.2 units.

The correct answer is option b) BC = 18.2.

Since AD is the perpendicular bisector of BC, it divides BC into two equal segments. Let's call the point of intersection between AD and BC as M. Therefore, BM = MC.

According to the given information,

AB = AC = 21.3. Since AD is the perpendicular bisector of BC, it implies that AM is equal to MC.

Therefore, AM = MC = BC/2.

We are also given that DC = 9.1. Since MC = DC, we can conclude that BC/2 = 9.1.

To find BC, we can multiply both sides of the equation by 2:

BC = 2 x 9.1

BC = 18.2.

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PLS HELP I WILL GIVE U BRAILIEST I need help
Copy and convert into numbers.

1.) 2.75 x 10-2 =

2.) 39,000,000,000 =

3.) .000002 =

4.) 7.368 x 104 =

Answers

Answer:

1)0.0275

2)3.9×10^10

3)2×10^-6

4)did u mean 10^4?

if so then it would be 73,680

explanation

1)2.75×10^-2

2.75×.01=0.0275

2)39,000,000,000.00

in scientific notations the first number has to be lower than 10 and higher than 1>

3.9 works so i would take the dot/period and bring it between 3 and 9, the dot would travel 10 places therefore you raise the 10 to the 10th power

3.9×10^10

4) and since 10 is raised to the 4th power you would just move the dot 4 places right and you get

7.368>73,680

Which table shows a constant rate of change

please answer!

Answers

Answer: Feet to yards, all other are inconsistent.

Step-by-step explanation:

What is the slope intercept equation for thus line?

Answers

Answer:

y= 2/3 x + 4

y- intercept= (0,4)

and slope of the line is 2/3

Answer:

B.

Step-by-step explanation:

y = mx + b

The y-intercept is the point (0, 4), so you get b = 4

You now have

y = mx + 4

Now start at the y-intercept, (0, 4). Go up 2 units and right 3 units to a point on the line; rise = 2; run = 2.

slope = m = rise/run = 2/3

Now you have

y = 2/3 x + 4

Answer: B.

Amelia needs to buy some cat food. At the nearest store, 5 bags of cat food cost $26.25. How
much would Amelia spend on 6 bags of cat food

Answers

Answer:

$5.25

Step-by-step explanation:

Divide 26.25 by 5 and there's your answer.

Conner and Jana are multiplying (3568)(39610).

Conner's Work Jana's Work
(3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680
Is either of them correct? Explain your reasoning. (5 points)

Answers

Go to pathway with an m instead of a p

Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.

Answers

Answer:

I got you my man

Step-by-step explanation:

Blank 1: 2

Blank 2: 3

Blank 3: 1 only

The blanks will have values 2, 3,  and 1 respectively.

What is zero of a function?

Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.

If p is the zero of the function f(x)=0 then f(p)=0.

We have,

f(x) = (x-1)² (x+3)³ (x+1)

Now,

The zero is located at x=1 and has a multiplicity of 2.

Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.

The zero is located at x = - 3 and has a multiplicity of 3. The graph of the function will touch, but not cross, the x-axis at the x - the value of 1.

The complete question is given below:-

Consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)

use the equation to complete each statement about this function

The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.

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Please help . I need it ASAP!!

Answers

Step-by-step explanation:

the key is 5x-2

the area where x is bring the required variable in the question multiply by five wen and subtract two from it

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