1answer.
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
Aneli [31]
3 years ago
11

Pythagorean Theorem: A rectangular park is 6 miles long and 5 miles wide. How long is a pedestrian route that runs diagonally ac

ross the park?
explain/show steps please

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer: The exact length is sqrt(61) miles which approximates to 7.8102 miles

================================================

Work Shown:

See the attached image below. Draw a rectangle that is 6 by 5. Then add a diagonal line to represent the pedestrian route. This forms a right triangle. The right triangle has legs of 6 and 5. The hypotenuse is unknown, which we'll call x.

a = 6

b = 5

c = x

Use the pythagorean theorem to solve for x

a^2 + b^2 = c^2

6^2 + 5^2 = x^2

36 + 25 = x^2

61 = x^2

x^2 = 61

x = sqrt(61) which is the exact length

x = 7.8102 which is the approximate length

You might be interested in
_____ compare one quantity to 100.
Alexxx [7]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Which of the following statements about f(x) is true?
3241004551 [841]
The correct answer is b) the function has an inverse because if passes the horizontal line test.
6 0
2 years ago
Read 2 more answers
The function d(s) = 0.0056s squared + 0.14s models the stopping distance
victus00 [196]

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be d(s) = 0.0056\cdot s^{2} + 0.14\cdot s, where d is the stopping distance measured in metres and s is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of d(s).

2) Add the function d = 7\,m.

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

4 0
2 years ago
In geometry, how do defined terms and undefined terms relate to each other
inysia [295]
<span> </span>
<span><span><span>In geometry, how do defined terms and undefined terms relate to each other? 
</span><span><span>Ask for details </span> <span>Follow </span> Report</span> <span>by <span>Da5ncing4bearnelogi </span>05.08.2016</span></span>Answers<span><span>Hussain514 </span> Ambitious</span>In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. <span>
</span></span>
3 0
2 years ago
If 1=3 , 2=3 , 3=5, 4=4, 5=4 then , 6=?
Juli2301 [7.4K]

Answer:

is 3, because ‘six’ has three letters

4 0
2 years ago
Other questions:
  • Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other
    9·1 answer
  • Use a graphing tool to solve the system. {13x+6y=−30x−2y=−4 Which ordered pair is the best estimate for the solution to the syst
    5·2 answers
  • What is 276.13 in expanded form
    11·1 answer
  • A real world situation, would be there is a total of 10 bowling shelves that contain bowling bowls. The first shelf contains 5 b
    15·1 answer
  • Find common ratio in the geometric sequence 1,5,25,125
    14·1 answer
  • Please need help asap... thanks
    6·1 answer
  • Let A={1'3'5'6}<br> B={0'7}<br> check whether A and B are disjoint sets
    14·1 answer
  • Find the square root of 64a^2/9b^2+4+32a/3b​
    15·1 answer
  • Angle sum Theory
    10·1 answer
  • Which scale you would use on the coordinate plane to plot each set of points? A Select . (1.-6).(-7,-8), (-3, 7), (0.9) • (-20,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!