Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters. How much shorter is the root across the park than the route around its edges?

Pls help!!! It's due today in about 6 hours!!!!! I would also like a proper explanation instead of the answer itself!!!!

Answers

Answer 1

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.


Related Questions

what is the value of x? -6x=90
Please show you got the answer

Answers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

HELP ME PLEASE
Use the table to answer the question.
Avocados Price
$1.15
$2.30
$5.75
$11.50
1
2
5
10
How much will 3 avocados cost?
O $1.15
O $3.45
O $4.45
O $4.60

Answers

one Avocado costs 1.15 you need 3

1.15×3=3.45

$3.45 because just multiply 3 and 1.15 and you’ll get $3.45

Evaluate the expression 50 - t when t equals 10, 20, or 25. Then
complete the table to show the values.
50 t
50 -t
50-t
50 -
50 -
50 -
!!

Answers

Answer:

[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]

Step-by-step explanation:

Given

[tex]Expression: 50 - t[/tex]

Required

Evaluate when:

[tex]t = \{10,20,25\}[/tex]

When [tex]t =10.[/tex]

The expression is:

[tex]50 - t = 50 - 10[/tex]

[tex]50 - t = 40[/tex]

When t = 20

The expression is:

[tex]50 - t = 50 - 20[/tex]

[tex]50 - t =30[/tex]

When [tex]t = 25[/tex]

The expression is:

[tex]50 - t = 50 - 25[/tex]

[tex]50 - t =25[/tex]

The result is:

[tex](t,50-t) = \{(10,40),(20,30),(25,25)\}[/tex]

100 is the answer okay

PLEASE HELP ASAP!!

The graph represents which system of inequalities?

A.) y<=-2x+3
y<=x+3

B.) y>=-2x+3
y>=x+3

C.) y<=-3x+2
y<=-x+2

D.)y>-2x+3
y>x+3

Answers

Answer:

Its the yellow area

Step-by-step explanation:

one more lol sprry for a lot of post

Answers

Answer:

A

Step-by-step explanation:

brainliest to who ever answers correctly

Answers

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

no slope i’m pretty sure let me know what the answer is if i’m wrong

What is the sum of 1/5 and 3/4?

Answers

Answer:

19/20

Step-by-step explanation:

1/5+3/4

(4+15)/20....take L.C.M

19/20

Answer:

0.95 OR 19/20 OR 95%

Step-by-step explanation:

(1/5)+(3/4)=0.95

HOPE IT HELPS

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)

Answers

The answer is (4,2) because it just is

Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.


Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00

Utilities
$269.34

Entertainment
$220.00

Food/Clothes
$368.00

Cell Phone
$89.42

Credit Card #1
$94.62

Credit Card #2
$36.18

Car Insurance
$80.00

Car Payment
$300.00

Gym Membership
$25.00
Net Income

$317.44


After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.

Answers

Answer:

c.  Manny could spend less on food and clothes and put the money towards his credit card payment.

Step-by-step explanation:

Edge 2021

Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.

What is a credit card?

A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.

How to calculate monthly payment.

Mathematically, the monthly payment for a credit card is given by this formula:

[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]

Where:

P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.

In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.

Read more on monthly payment here: https://brainly.com/question/2151013

A marketing company is hiring two college students to hand out brochures near an event. Marshall hands out 300
brochures in 2 hours. Silas hands out 240 brochures in 90 minutes. Who handed out more brochures per minute?


Neither. They handed out brochures at the same rate.

Marshall

Silas


Answers

Answer:

silas

Step-by-step explanation:

complete the equation 4/5= ____×
1/5​

Answers

Answer:

HI! I think the answer is 4.

Answer:

4/5 = 4 x 1/5

Step-by-step explanation:

Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.

Which mathematical property is demonstrated?

7 + 9 + 3 = 7 + 3 + 9


commutative property of addition

associative property of multiplication

commutative property of multiplication

associative property of addition

Answers

Answer:

I am pretty sure that the answer to this question is A: comunative property of addition

Step-by-step explanation:

I'm 99% sure

I'm sorry if it turns out to be wrong

cause I have not yet finished the test

i need help someone help pls and thx

Answers

Answer: there are no x intercepts

Step-by-step explanation: this graph will continue on both ends away from the x axis, and it never crosses it

Answer: b think

Step-by-step explanation: b

Someone please answer this for me ASAP

Answers

the answers are

31
7
1
-5

i hope this helped. have a good day
-5, 31
-1, 7
0, 1
1, -5

The best way to find the answer to this question is to type in the equation into a graphing calculator under “y=“ then press the graph/ table button!

Help me hurry please
Giving points

Answers

Increased:B,E
Decreased:A,D
Stayed the same:C
B and E increased. A and D decreased, and C stayed the same. :)

Can you please help me with this???

Answers

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=

Answers

Answer:

r=-2

Step-by-step explanation:

your welcome :D also if there's another answer could you give me brainliest pls

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

CAN YOU PLEASE HELP ME ?

Answers

Answer:

Where is the question we can help you with

help with this .........

Answers

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

The equation in slope-intercept form is y = 6x + 5

The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.

Answers

Answer:

246.50

Step-by-step explanation:

Simplify the expression.

Answers

Answer:

-2.5

Step-by-step explanation:

-0.25x-6-5.5x-8.4=0

-5.75x-14.4=0

-5.75x=14.4

x= -2.5

Three friends go grocery shopping together, and each guys the same kinds of strawberries. Akio buys 2 pounds and pays 1.50. Gordon buys 3 pounds and pays 2.25. Maria buys 4 pounds and pays 3.00.

Answers

Answer: Graph B

Step-by-step explanation:

The unit price for the strawberries is:

= 1.5 / 2

= $0.75 per pound

Graph B is the right graph as it uses a unit price of $0.75 per pound for strawberry price. This is why it has points of the graph that mirror the friends purchases such as (2, 1.5) , (3, 2.5) and (4, 3).

Answer:

wut lol

Step-by-step explanation:

x/-3 is less than -10
solve the inequality​

Answers

Answer:

-7 or just 7

Step-by-step explanation:

Which of the following are adjacent angles?

Answers

Answer:

c

Step-by-step explana i think its right

Pls Help need it asap
which triangle is similar to an equilateral triangle with side lengths of 5.2 cm

a. a right triangle with a perimeter of 15.6 cm
b. a equilateral triangle with a perimeter of 10 feet
c. any triangle with a perimeter of 15.6 cm
d. an isosceles triangle where two of the side are 5.2 cm

Answers

Answer:

B.

Step-by-step explanation:

Two figures are said to be similar if they are the same shape. In more mathematical terms, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

I don’t know but it seems like a good choice would be 5

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

combine these like terms 4 girls + 2 girls - 3 boys

Answers

Answer:

6 girls - 3 boys

Step-by-step explanation:

Answer:

6girls - 3 boys

Step-by-step explanation:

4 girls + 2 girls =6 girls

you cant mix girls and boys so you still have 3 boys

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