answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis
3 months ago
13

A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It trave

ls from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
A. 41

B. 38

C. 13

D. 5

(The picture of the graph should be there, I apologize if it isn't clear enough. Also, please explain the answer in detail, I want to try to understand it so when I approach a problem like this, I will know what to do)

Mathematics
2 answers:
Inessa [12.5K]3 months ago
5 0

Response:

41

Detailed explanation:

Svet_ta [12.7K]3 months ago
5 0

Response:

  • B. 38

Detailed explanation:

  • Apply the Pythagorean theorem to determine line distances

The shape formed by the route exhibits symmetry, and

  • BC = EA
  • CD= DE

The total distance calculates as the perimeter of the polygon

1. AB is a horizontal line, measuring 2 units (from -1 to 1)

  • 1 - (-1) = 2 miles

2. BC = √((5-1)²+(2 -(-1))²) = √(16 + 9) = √25 = 5 miles

  • EA = BC = 5 miles

3. CD = √(13-2)² + (5-1)²) = √121 + 16 = √137 = 11.7 miles

  • DE = CD = 11.7 miles

Overall

  • 2 + 5*2 + 11.7*2 = 35.4 miles

The closest option is option B

You might be interested in
How many models of 100 do you need to model 3,200 explain
tester [12383]
Turn the scenario into a division problem: how many 100s fit into 3,200? Compute 3,200 ÷ 100. Removing the two zeros leaves 32, so thirty-two 100s make up 3,200.
3 0
2 months ago
Read 2 more answers
Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
AnnZ [12381]
A. The quantity of 10-boards that Peter purchases is equal to n divided by 10. Consequently, each of the 10-boxes will receive two boxes of nails. After purchasing n boards, the formula for the number of boxes of nails Peter will have will be,

N = (2)(n/10)

When simplified,

N = n/5

b. If the total number of boards is 90, then,

N2 = (90/10)(2)(100 nails/box)
N2 = 1800

Final Answer: 1800
7 0
2 months ago
Read 2 more answers
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving
tester [12383]
<span>D=20+50t 120=20+50t 50t=100 t=2 hours The time variable t ranges from t=-(2/5)hr to t=2hr. Given that they have already covered 20 miles. [-2/5,2]</span>
5 0
2 months ago
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
lawyer [12517]

To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

 

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

 

The coordinates given are:

(-4, 11) = (x, y)

 

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

 

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

3 0
2 months ago
Other questions:
  • The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number
    12·1 answer
  • Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
    10·1 answer
  • John Anderson bought a home with a 10.5% adjustable rate mortgage for 30 years. He paid $9.99 monthly per thousand on his origin
    15·2 answers
  • The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
    15·2 answers
  • Find the number of ordered quadruples (a, b, c,
    10·1 answer
  • nine days ago the area covered by a mold on a piece of bread was 3 square inches today the mold covers 9,square inches find the
    10·2 answers
  • Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squa
    14·1 answer
  • What is next number 3469131824
    7·2 answers
  • What is the value of h?<br><br> h = 20<br> h = 35<br> h = 55<br> h = 70
    9·2 answers
  • A bacteria sample can be modeled by the function f(x) - 350(1.20) which gives the number of bacteria in the sample at the end of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!