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Oksanka [162]
3 years ago
5

Problem 2:

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

The answers to the questions about problem 2 are:

  1. The fraction of the length after Priya stops two times is 3/4.
  2. The fraction of the length after Priya stops four times is 15/16.
  3. Priya will never reach the end of the hallway.

Step-by-step explanation:

The explanation about each answer is below:

1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:

\frac{1}{2}/2=\frac{1}{4}

If you add the two values you obtain the total distance traveled by Priya:

\frac{1}{2}+\frac{1}{4}= \frac{3}{4}

And the distance traveled in two stops is 3/4 of the total length of the hallway.

2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:

\frac{1}{4}/2=\frac{1}{8}

And in the fourth stop she will travel half of the remaining, I mean:

\frac{1}{8}/2=\frac{1}{16}

Now, we add all the values of the distances obtained:

\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}

So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.

3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.

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___________________________________________________ </span>
Explanation:
__________________________________________________
The area of a triangle, "A", is equal to (1/2) * (b₁ + b₂) * h ; 
                                    or:  A = (1/2) * (b₁ + b₂) * h
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          ___________________________________________
                                     in which:  A = area of the triangle; 
                                                       b₁ = length of one of the bases
                                                                 of the triangle ("base 1");
                                                       b₂ = length of the other base
                                                                 of the triangle ("base 2");
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____________________________________________________
To find the height of the triangle, we rearrange the formula to solve for "h" (height); assuming that all the units are the same (e.g. feet, centimeters); if no "units" are given, then the assumption is that the units are all the same.
We can use the term "units" if desired, in such cases; in which the area, "A" is measured in "square units"; or "units²",
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_________________________________________________
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     If we knew the other values; we plug in the those other values.
______________________________________________
  Given:   A =  [(b₁ + b₂) * h] / 2 ;

Multiply EACH side of the equation by "2" ;
_________________________________________
            2*A = {  [(b₁ + b₂) * h] / 2 } * 2 ;
_________________________________________
to get:
_________________________________________
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_____________________________________________________
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_______________________________________________
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