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Anni [7]
2 years ago
10

In her calculations, Rosita will be using the square root of 2 often. She wants to use as few digits as possible, but at the sam

e time have sufficient precision. How should Rosita round the square root of 2 so that the approximation times 5 is greater than 7.05?
Mathematics
1 answer:
Sladkaya [172]2 years ago
6 0

Testing the multiplication for each case, it is found that she should round the square root of 2 to three decimal digits.

<h3>What is the square root of 2?</h3>

The square root of 2 is given by:

\sqrt{2} = 1.41421356237

With one decimal digit, the result of the multiplication is:

5 \times \sqrt{2} = 5 \times 1.4 = 7 < 7.05

With two decimal digits, the result of the multiplication is:

5 \times \sqrt{2} = 5 \times 1.41 = 7.05 = 7.05

With three decimal digits, the result of the multiplication is:

5 \times \sqrt{2} = 5 \times 1.414 = 7.07 > 7.05

Hence, she should round the square root of 2 to three decimal digits.

You can learn more about rounding at brainly.com/question/17248958

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1/48

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If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
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<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

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<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

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<em>  They are presumed true by most of the scholars in the field. </em>

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<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

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