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
LiRa [457]
2 years 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:
mr_godi [17]2 years ago
5 0

Answer:

41

Step-by-step explanation:

LekaFEV [45]2 years ago
5 0

Answer:

  • B. 38

Step-by-step explanation:

  • <em>Use Pythagorean theorem to find line lengths</em>

<u>We see the figure formed by the route is symmetric and</u>

  • BC = EA
  • CD= DE

The total distance is the perimeter of the polygon

1. AB is horizontal line, 2 units long (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

<u>Total</u>

  • 2 + 5*2 + 11.7*2 = 35.4 miles

Close option is option B

You might be interested in
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
Xelga [282]

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x +  52

⇒ Side = \frac{12x+52}{4}

⇒ Side = \frac{4(3x+13)}{4}

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

3 0
2 years ago
Read 2 more answers
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m
Sedaia [141]
The answer is the very first one! 
(x,y) --> (-x,y) 

It demonstrates a perfect reflection across the y-axis. 

Good Luck! 
7 0
2 years ago
Read 2 more answers
Consider the first five steps of the derivation of The Quadratic function
Burka [1]

Answer:

Step-by-step explanation:

  • pick like terms

x² +  b²/4a² = -c / a + b²/4a²

  • b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² =  -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² =  (-4ac+ b²)/4a²

  • square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a  =  √( b²-4ac) / 2a

  • subtract b/2a from both sides

x + b/2a -b/2a  =  {√( b²-4ac) / 2a } -b/2a

x = -b/2a +   {√( b²-4ac) / 2a }

  • the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

7 0
2 years ago
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
kicyunya [14]
Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides. 
6 0
2 years ago
Read 2 more answers
Other questions:
  • tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. at the last game, $521 was collected when 13
    12·2 answers
  • The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph
    7·2 answers
  • A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean fl
    9·1 answer
  • Which of these is an equation? A 2y + 7 = 9 B 2x &gt; 3 C 3n + 5 D a2 + 2
    9·1 answer
  • Which scatter plot has a correlation coefficient closest to r=1
    9·2 answers
  • Daniel has $600 in a checking account, has $12,000 in a savings account,
    13·2 answers
  • Find the GCF of 16a and 32ab *
    11·2 answers
  • A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were col
    10·1 answer
  • Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line
    13·2 answers
  • I NEED HELP NOW What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!