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Travka [436]
3 years ago
6

Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 in

ches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

9.4 inches

Step-by-step explanation:

The triangle formed is  aright angled triangle with the right angle between the  length and width of the paper cut hence the diagonal represents the hypotenuse side.

Recall that Pythagoras theorem states that

a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides

Hence

8^2 + 5^2 = c^2

c^2 = 64 + 25

= 89

Finding the roots of both sides

c = 9.433981132

To the nearest tenth

c = 9.4 inches

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Answer:

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Step-by-step explanation:

Given

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SD= σ=32

In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.

The formula for z-score is:

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Here x is the value whose z-score is to be found.

In the given question, x = 272

So,

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So , the z-score for 272 is 1..

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