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lyudmila [28]
2 years ago
6

A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin

e to the opposite corner. How far did the player run?
Mathematics
1 answer:
Dimas [21]2 years ago
3 0

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

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Sholpan [36]
Give more of an answer please
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2 years ago
you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?
stich3 [128]

Answer:

x=15

Step-by-step explanation:

Supplementary angles are two angles that equal the sum of 180 degrees.

Take 4x and 8x and make it equal to 180

4x+8x=180

Add like terms:

12x=180

Divide:

x=15

To check:

Plug in 15 to both expressions

4(15)=60

8(15)=120

Add them up and they equal 180 degrees

Hope this helps! :)

5 0
3 years ago
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.9, \sigma = 1.4

(a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

Z = \frac{X - \mu}{\sigma}

Z = \frac{3 - 4.9}{1.4}

Z = -1.36

Z = -1.36 has a pvalue of 0.0869

0.0869 = 8.69% probability that the thickness is less than 3.0 mm

(b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 4.9}{1.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the thickness is more than 7.0 mm

5 0
3 years ago
Please help me whit this (if you answer pls show the work)
adell [148]

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

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Taylor is two years younger than Bryce. The sum of tier ages is 28. How old is Taylor?
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