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Zarrin [17]
3 years ago
14

American football field measure of 100 yards between the end zone and are 53 1/3 yards wide. is the length of the diagonal acros

s thid field more less than 100 yards? explain
Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

It is more than 100 yards.  Take the equation a^2+b^2=c^2. plug in a(100) and b(53 1/3) and find the squares of those. then add them up. that should equal 12840.89. then find the square root of that which is 113.32 (rounded). so it is more than 100 yards.
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A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,4
KiRa [710]

Answer:

112 people

Step-by-step explanation:

\frac{4}{50} = \frac{x}{1400}  write the proportion where x is the number of people with a             missplaced time

50x = 5600  cross multipy

x = 112 divide both sides by 50

3 0
3 years ago
Problem 2:
kifflom [539]

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.

3 0
3 years ago
PLEASE HELP
irina [24]

Answer:

12\sqrt{3} feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 1:\sqrt{3} :2

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12

Solving for x, we find that

x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36  \sqrt{3} }{3} = 12\sqrt{3}

So the length of the original pole would be 12\sqrt{3} feet

If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!

6 0
3 years ago
X= ? The trainable a below are similar
ratelena [41]

\frac{x + 7}{3x + 3}  =  \frac{19}{38} \\ \Leftrightarrow  \frac{x + 7}{3x + 3}  =  \frac{1}{2}  \\ \Leftrightarrow 2x + 14 = 3x + 3 \\ \Leftrightarrow x = 11

6 0
3 years ago
Solve for x, worth 10 points
Anton [14]

Answer: x=22

Step-by-step explanation:

Since the angles are corresponding angles, use x+14=5x-74. You get 36=36 meaning it is right when you substitute the value for x.

x+14=5x-74

-x on both sides

14=4x-74

+74 on both sides

88=4x

Divide both sides by 4

x=22

8 0
3 years ago
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