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

The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.

Answers

Answer:

r=5.31

Step-by-step explanation:

A=π r²

88.42cm²=3.14r².................π =3.14

88.42cm²÷3.14=r²

r²=28.16cm²

r=5.31

Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.

Answers

Answer:

-7/40

Step-by-step explanation:

I hope this helps!

I need help!!
If any boady could tell me the awnswer that would be great

Answers

Answer:

1/4 and 3/8  = 2/8 and 3/8

1/4 and 1/2 = 1/4 and 2/4

2/16 ad 3/8 = 2/16 and 6/16

1/4 and 2/16 = 4/16 and 2/16

1/2 and 3/8 = 4/8 and 3/8

Step-by-step explanation:

Answer:

The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.

Hope this helps

amara needs $624 for her budget every week. She works 40 hours a week.CLEARCHECKWhat is the minimum amount Tamara needs to earn per hour?$per hour

Answers

She needs to earn at least about 16$ every hour

15.6 or

Step-by-step explanation:

Based on the given conditions, formulate:

624 ÷ 40

Reduce the fraction:

get the result:

15.6 or

Answer:

15.6 or

(Hope this helps can I pls have brainliest

Please help with this question and if you can explain because I’m confused. - thank you

Answers

y = 32, x = 43

To figure this out, you have to use what you know to find all sorts of measures.

Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.

1.8 0.087 − 0.947 + 2.2 0.044

Answers

Answer:

2

Step-by-step explanation:

im smart

Determine the zeros for x2 + 7x − 20 = 6x.

Answers

Answer:

= 4

or

= −5

Step-by-step explanation:

Answer:

[tex]x=-5[/tex] and [tex]x=4[/tex]

Step-by-step explanation:

[tex]x^2+7x-20=6x[/tex]

[tex]x^2+7x-20-6x=6x-6x[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x=-5[/tex] and [tex]x=4[/tex]

What is the measure of x?
Z
Х
ТУ
4
9
x = [?] ✓
=
Give your answer in simplest form.
Enter

Answers

Answer:

  x = 2√13

Step-by-step explanation:

The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).

  x = √(4·13)

  x = 2√13

__

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Solve the following inequality.
-9 < 5 + 2.0 < -5
[?] < x <[
]

Answers

Step-by-step explanation:

you work with it like with regular equations :

-9 <= 5 + 2x <= -5

-14 <= 2x <= -10

-7 <= x <= -5

can anyone help me with math

Answers

Answer:

d = 6

Step-by-step explanation:

diameter is the whole thing while the radius is always half of the diameter.

12 / 2

= 6

Answer:

6

the diameter is always the half of a radius

PLS HURRY ONLY CORRECT ANSWERS 50 POINTS NEED THIS IN ONE HOUR
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done

Answers

Answer:

600J

Step-by-step explanation:

work done = force x distance

                  = 60 x 10

                  = 600J

The workdone by arsene wenger in joules is 600J

What is workdone?

Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)

Workdone is expressed as;

Workdone = f × d

where do is the force and d is the distance.

The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.

Therefore, the workdone by arsene wernger is

W = 60 × 10

W = 600J

learn more about workdone from

https://brainly.com/question/25573309

#SPJ3

Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS

Answers

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

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Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.

How many hours did Carlos spend practicing his multiplication facts?

____ of an hour

A: 1/4 of an hour
B: 3/8 of an hour
C: 1/16 of an hour
D: 5/16 of an hour

Answers

A:1/4 of a hour, it says he spent 1/4 of his time practicing his multiplication facts

How can you turn decimals into percentages

Answers

Step-by-step explanation:

Example given 0.987.

0.987 = 987/1000

now, to convert the decimal in percentage.

(987/1000 ×100)% = 98.7%.

hope this helps you.

A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?

PLEASE SHOW WORK

Answers

Answer:

7 Seconds

Step-by-step explanation:

This is kinematics

Vf=Vi+at

t=[tex]\frac{Vf-Vi}{a}[/tex]

t=[tex]\frac{62-13}{7}[/tex]

t=[tex]\frac{49}{7} =7[/tex]

Can someone help me with 15 and 16 Please!

Answers

With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY

The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

Answers

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

What is the measure of

Answers

Answer:

45 degrees

Step-by-step explanation:

90+45+45=180 degrees

:))

Answer:

[tex]m\angle A=45\textdegree[/tex]

Step-by-step explanation:

All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.

[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]

A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.

A.y = - 2x - 3
B. y= - 2x + 3
C. y = 2x - 3
D. y = 2x +3

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept= 5 - (-2)(-4) = 5 - 8 = -3

Find the range of the following group of numbers: 1, -8, -10, 11, 19

Answers

it should be 29. range is taking the biggest number and subtracting the smallest number. biggest is 19 and smallest is -10. 19 minus -10 equals 29 :D

What is the Slope of the equation y = x - 2

Question 4 options:

1


-2


2


0

Answers

Answer:

1

Step-by-step explanation:

Answer:

The slope for the equations y = x - 2 is answer A - 1

Step-by-step explanation:

Graph attached Below

Hope I helped,

Brainliest is always appreciated.

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

Answers

….there’s nothing here?…

I'm stuck on question 6 + (-20.5)

Answers

Answer:

Step-by-step explanation:

First you put the negative sign away for the end and then you switch the problem to 20.5 - 6. Then you put the 0.5 away for later too. 20 - 6 is equal to 14. Then you add the 0.5 back to the number. So it is equal 14.5 and the you put the negative sign back on to get the final answer of -14.5.

Question
Solve the equation.

q+5/9=1/6
q=

Answers

q= 1/6 - 5/9
q= -7/18

Answer:

q = - [tex]\frac{7}{18}[/tex]

Step-by-step explanation:

q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]

Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions

18q + 10 = 3 ( subtract 10 from both sides )

18q = - 7 ( divide both sides by 18 )

q = - [tex]\frac{7}{18}[/tex]

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A line passes through the point (-8, 3) and has a slope of 3/4 write an equation in slope intercept form

Answers

Im thinking 9. If i did the math correctly. You should try 9

Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?

Answers

Answer: x = 13 hours

Step-by-step explanation:

335 miles/5 hours = 67 mi/hr

(67 mi/hr)x = 871 miles

x = 13 hours

what is the equation of the line that passes through the point (4, 8) and has a slope of 0?

Answers

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

Does anybody have the answer to this???? Thank You

Answers

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

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