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

Answers

Answer 1

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter


Related Questions

At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.

Answers

Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.​

Answers

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n

Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.​

Answers

Because all sides will be equal to 60 degrees equilateral triangle are all congruent (and therefore they all measure 60° ) however also you can see the other triangles theta and degree and angle which all triangles always add up to 180 degree. So if you got one degree on a triangle 90 then the next one 60 then with out a shadow of doubt the last one will be 30 degrees

how to evaluate 3-(-10)​

Answers

Answer:it's 13

please let me know if this is wrong

Answer:

Answer:

i am uncertain by the question

Step-by-step explanation:

10-3=7

10/3=3.333...

Answer:

the answer is "what are you doing step

bro"

pls help!! will mark as brainliest​

Answers

Answers:

B:

1. 2

2. 3

3. 1

4. 4

5. 2

C (Leading term):

1. 3x

2. x^4

3. 7

4. x^2

5. 2x^2

C (Degress of the Polynomial):

1. 1

2. 4

3. 0

4. 2

5. 2

how many 3/5s are in 9/10

Answers

Answer:they are only 2

Step-by-step explanation:

3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10

Answer:

1

Step-by-step explanation:

3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.

primary school has 140 girls and 90 boys.
The probability that a girl wears glasses is 0.4
The probability that a boy wears glasses is 0.3
Estimate the number of pupils wearing glasses in the school.​

Answers

Answer:

140*0.4=56

90*0.3=27

56+27=83

Hope This Helps!!!

Answer:

the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses

For f(x) = -5x-2, evaluate f(5)

Answers

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

which table represents a linear function?

Answers

Answer:

the first

Step-by-step explanation:

5-(-5) please i need a answer ASAP

Answers

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Write the slope-intercept form for the line with a slope of 2 and a y-intercept of 12.


Answers

Answer:

y = 2x + 12

Step-by-step explanation:

Question 1 (2 points)

Find the missing side.

А b с

14

23

B

O

37

Answers

Answer:

USED YOUR BRAIN NOT BRAINLY...

Step-by-step explanation:

TY

How to write in simplified slope intercept form

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

1.  Pick tow points that is on the line; (1, 1) and (2, 5).

2. Find the Slope:  Slope = (change in the y-values)/(change in the x-values)

   Slope = (5 - 1)/(2 - 1) = 4/1 = 4

3. Use the slope and one point on the graph and substitute into y = mx + b

    and solve for "b"

          y = mx + b                           Slope = 4  point (1, 1)

           1 = 4(1) + b

            1 = 4 + b

           1 - 4 = b

            -3 = b

4. Write the equation of the line: m = 4 and b = -3

     y = 4x - 3

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answers

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.

how to graph f(x)=2x^2-2

Answers

Answer:

ASWKT TAKING X AS ANY NO.

X=1

by substituting we get answer as 2,0

Step-by-step explanation:

mark as brainliest

Help please I need help

Answers

Answer:

I think it would be A??? idfk man

Its so easy Whats 1 + 1 = ?

Answers

Answer:

1+1=2....................

1 + 1 = 2

If we have one apple and get another apple, then we now have 2 apples.

We can also do the reverse to confirm our answer:

1 = 2 - 1

1 = 1

Which is true.

It is also not a matter of easy or not, this may be easy for us but hard for a baby.

I hope this helps! :)

PLEASE HELP 60 PTS

Graph the piecewise function.

Answers

Answer:-2x < 10.

Step-by-step explanation:

If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

don't give unwanted ans to get the points ~
stay away if u don't know the ans ( no spams and plagiarism )
well explained ans needed ~

Thanks !! ~ ​

Answers

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

by substituting the value of a and b

2a + b

= 2 ( x + 2y ) + ( x - 2y ) = 2x + 4y + 1x - 2y = 2x + 1x + 4y - 2y = 3x + 2y

a - 2b

= ( x + 2y ) - 2 ( x - 2y ) = x + 2y - 2x + 4y = -1 + 6y

i hope my answer helps !!

Answer:

4x - 4y

Step-by-step explanation:

Simplify the expression:

( 2a + b ) - ( a - 2b ) =2a + b - a + 2b = a + 3b

Substitute values:

a + 3b = x + 2y + 3(x - 2y) = x + 2y + 3x - 6y = 4x - 4y

Which of the following is a solution to the inequality below?

–4 +
10
m
< –68
10 points

Answers

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

Answer:

m can be -9

Step-by-step explanation:

-4+10m < -68

10m < -64

m < -6.4

using this statement, m can be any value less than -6.4, such as -9.

helpp?? please :))))​

Answers

The answer is B) $318.78

:D

Lie is solving the quadratic equation by completing the square.

3x2 + 18x – 8 = 0

3x2 + 18x = 8

What should Lie do next?

Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.

Answers

Answer:

Factor 3 out of the variable terms

Answer:

Factor 3 out of the variable terms.

Step-by-step explanation:

To complete the square the coefficient on the x^2 term must be 1

Therefor

Factor 3 out of the variable terms.

Which statement about the function f(x)=x2−x−20 is true?The expression x2−x−20 has factors (x−5) and (x+4), and f(x) has zeros at x=−5 and x=4.The expression x 2 − − x − − 20 has factors ( x − − 5 ) and ( x + 4 ) , and f ( x ) has zeros at x = − − 5 and x = 4 .The expression x2−x−20 has factors (x−5) and (x+4), and f(x) has zeros at x=−4 and x=5.The expression x 2 − − x − − 20 has factors ( x − − 5 ) and ( x + 4 ) , and f ( x ) has zeros at x = − − 4 and x = 5 .The expression x2−x−20 has factors (x−4) and (x+5), and f(x) has zeros at x=−5 and x=4.The expression x 2 − − x − − 20 has factors ( x − − 4 ) and ( x + 5 ) , and f ( x ) has zeros at x = − − 5 and x = 4 .The expression x2−x−20 has factors (x−4) and (x+5), and f(x) has zeros at x=−4 and x=5.The expression x 2 − − x − − 20 has factors ( x − − 4 ) and ( x + 5 ) , and f ( x ) has zeros at x = − − 4 and x = 5 .

Answers

Answer: its C

Step-by-step explanation:

Please help!
Factored Form: -2(x + 1)(x - 3)
a=
concave up or down
y-int (, )
A.o.S: x =
vertex:
x-intercepts ( , ) ; ( , )​

Answers

Here’s my work to your question. My answers are in the green box in the upper right hand corner.

-7x > 10
Solve for x

Answers

Answer:

x > -10/7

Step-by-step explanation:

divide both sides by -7 and it will be x= -10/7

5x-3y=30
7x-3y=36
elimantion method

Answers

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

find CP when sp=47180 loss=5%​

Answers

Answer:

The cost price 49,359

Step-by-step explanation:

To find the loss, turn 5% to decimal then multiply it to the selling price

5% = 0.05

47,180 * 0.05 = 2,359

The loss is 2,359.

Now add it to the selling price to find the cost price.

47,180 + 2,359 = 49,539

-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.

Answers

It is b
-2x +2y=10 and y =x+5 are the same

HELP PLEASE DONT GIVE THE WRONG ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

8. Write an equation for the line in slope- intercept form.​

Answers

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

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