1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

1. A Grand Tour Of Four Cities Begins At City A And Makes Successive Stops At Cities B, C,and D Before

Answers

Answer 1

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988


Related Questions

Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?

100 miles
170 miles
180 miles
160 miles

Answers

60miles+40miles=100miles

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

PLEASE HELP ME 100 POINTS (make full screen)

Answers

Answer:

See below

Step-by-step explanation:

Part 1

Corresponding angles and sides of ΔMNP and ΔUVW are congruent:

∠M ≅ ∠U       MP ≅ UW∠P ≅ ∠W       PN ≅ WV∠N ≅ ∠V       MN ≅ UVPart 2

The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.

Corresponding sides are congruent:

3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3

Given ∠C ≅ ∠D

In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.

We can observe ∠AED ≅ ∠BEC as vertical angles.

Additional information we need is:

DE ≅ CEPart 4

Triangles ABC and ADC are congruent by SAS:

AB ≅ AD∠DAC ≅ ∠BACAC ≅ AC

Therefore corresponding sides BC and CD are also congruent

Perimeter of ABCD is:

P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cm

Answer:

Free to use your own personal information ℹ to help you find the best deal for the your business in the word of the day you free to do it and you can get a ghost 500k for your invitation or your personal life to make a name for your family and your family Merry Christmas and Happy New Year to you and your family Merry are you the

If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?

A) $0.89
B) $0.79
C) $1.29
D) $1.09

Answers

4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03. Let the cost of 1 notebook be x and that of 1 package of pens be y.Therefore, cost of 4 notebooks = 4x, cost of 3 packages of pens = 3y.So, 4x + 3y = $7.43 ...(1)Also, cost of 5 notebooks = 5x, cost of 2 packages of pens = 2y.Therefore, 5x + 2y = $7.03 ...(2)Multiply equation (1) with 5, we get

5(4x + 3y) = $7.43 × 5

or, 20x + 15y = $37.15 ...(3)

Multiply equation (2) with 4, we get

4(5x + 2y) = $7.03 × 4

or, 20x + 8y = $28.12 ...(4)

Subtract (4) from (3), we have

20x + 15y-(20x + 8y) = $37.15 - $28.12

or, 7y = $9.03

or, y = $1.29

4x + 3y = $7.43

or, 4x + 3($1.29) = $7.43

or, 4x + $3.87 = $7.43

or, 4x = $7.43 - $3.87

or, 4x = $3.56

or, x = $0.89

Answer:

A) $0.89

Hope you could get an idea from here.

Doubt clarification - use comment section.



9. An expression is subtracted from 2p+9q + 100 to get –5p + 7q + 50. What is that expression?

Answers

Answer:

-3p + 16q + 150

0.2(3m − 6) + m = 2 for 8th grade

Answers

Answer:

2

Step-by-step explanation:

0.6m-1.2+m=2

1.6m-1.2=2

1.6m=3.2

m=2

can someone help with this ​

Answers

[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]

Ok done. Thank to me :>

Find the value of the variables.

Answers

Answer:

d=8√2 = 11.31

x=3√3 = 5.20

y=6√3 = 10.39

Step-by-step explanation:

d²=8²+8²

d²=64+64

d²=128

d=√128

d=√64*2

d=8√2 = 11.31

30-60-90 triangle

x-x√3-2x

x√3=9

x=9/√3

x=3√3

y=2x

y=2 * 3√3

y=6√3

Which graph or graph shows a proportional relationship

Answers

Answer:

C) Graph A and Graph C

Step-by-step explanation:

A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.

Graph b does not show a straight line so B does not show a proportional relationship.

Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.

Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.

Thus, the answer is C) Graph A and Graph C

14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?​

Answers

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answers

Answer:

55.4

Step-by-step explanation:

Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.

−x<−29 solve for X just please commet fast im on khan right now

Answers

Answer:

x > 29

Hope you level up in khan :)

[tex]-x <-29 <=>\frac{-x}{-1} >\frac{-29}{-1} <=>x >29[/tex]

Ok done. Thank to me :>

I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?

Answers

Answer: 13.5 bags

Explanation:

5 3/8 = 43/8

3 5/8 = 29/8

43/8 + 29/8 = 9

9 divided by 2/3 is 13.5

Hope this helps :)

Answer:

[tex]13 \frac{1}{2} [/tex]

Step-by-step explanation:

So first we can add the two snack together

So the

[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]

Once we have that we can say 9÷2/3

And this will give us 13.5 or 13 and a half.

I really hope this helps

Which pairs of angles are alternate interior angles? Select all that apply.

A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8

PLEASE HURRY!!

Answers

B ??? i’m not sure bout this

Can someone help me with this question

Answers

Answer:

$2.40

Step-by-step explanation:

Answer:

48 mph

Step-by-step explanation:

Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:

12*x=96

x=8 mph over the speed limit

Since the speed limit is 40, then she was going 40+8=48mph

| x | < 2

solve the inequality and then graph the solution

Answers

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

Graph the line with the equation y = 2x - 2

Answers

Answer:

y-intercept is -2 slope is up 2 right 1(2/1)

Step-by-step explanation:

the sum of two numbers is 30. the difference one the two numbers is 4

Answers

Answer:

20+10 is 30 5x6 is 30

Step-by-step explanation:

so just add numbers to find 30

Answer:

first number is 17 and second number is 13

Step-by-step explanation:

let the numbers are x and y

if their sum is 30 and difference is 4

then

x+y=30     --------------1equation

x-y=4          -----------2equation

add both the equations,

2x=34

x=17

then  

put the value of x in 1equation,

x+y=30

17+y=30

y=30-17

y=13

then,

first number is 17 and second number is 13

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

third one

Step-by-step explanation:

a number is less than 3 1/2

aaaaaaaaaaaaaaaaaaaa

Answers

Answer:

what grade are you??..........

How many ways are possible to select a president and vice president from an
association with 5400 members?

Answers

The Answer there are 9*8 = 72 ways to choose a president and vice president

Step-by-step explanation:

solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9​

Answers

Answer: g = 2.5

Hope it helps!

Answer:

g = 2.5

Step-by-step explanation:

0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides

0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )

0.4g + 0.4 = - g + 3.9 ( add g to both sides )

1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )

1.4g = 3.5 ( divide both sides by 1.4 )

g = 2.5

is this correct ? if not what’s the correct answer?

Answers

Answer:

YES 68 is the correct answer

Which graph represents the function f(x) = −|x − 2| − 1?

Answers

Answer:

Graph C

Step-by-step explanation:

What is the expression after applying the distributive property? −12(−2+(−3))

Answers

Answer:

60

Step-by-step explanation:

-5.-12=60

Hey there!

-12(-2 + (-3))

= -12(-2 - 3)

DISTRIBUTE -12 within THE PARENTHESES

= -12(-2) - 12(-3)

= 24 + 36

= 60

Therefore, your answer is: 60

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Palawbhehrht awnser yes or mo

Answers

Answer:

yes

Step-by-step explanation:

Solve four ninths minus four tenths equals blank.

Answers

Answer:

2/45

Step-by-step explanation:

help with my math please

Answers

Answer:

j mmmmmmm

Step-by-step explanation:

mmmmmmmmm

What is 826x98= ?
826x98 is 80948

Answers

Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8

Answers

Answer:

?

Step-by-step explanation:

Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts

Answers

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

The given ratio is:

2 gallons to 27 quarts

This can also be written as:

2 gallons  :  27 quarts

Convert 27 quarts to gallons so that both items in the ratio can be of equal unit

Note that:

1 quart  =  0.25 gallons

27 quarts = 0.25 x 27

27 quarts = 6.75 gallons

The ratio can therefore be re-written as:

2 gallons :  6.75 gallons

In fraction form:

2 gallons  :  27 quarts = 2/6.75

Multiply the numerator and denominator by 4

2 gallons  :  27 quarts  =  4/27

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

Learn more here: https://brainly.com/question/25843849

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