Indicating whether the following statements are True (T) or False (F).

1 answer:

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1. The difference of two rational numbers is always a natural number. TRUE
2. The ratio of two rational numbers is always positive .FALSE

3. The difference of two rational numbers is always a rational number. TRUE

4. The quotient of two rational numbers is always a real number (provided the denominator is non-zero). FALSE

5. The quotient of two rational numbers is always a rational number (provided the denominator is non-zero).TRUE

6. The sum of two rational numbers is always a rational number. FALSE

7. The product of two rational numbers is always a rational number. FALSE

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What is the distance between points M and N?

Free_Kalibri [48]

By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

$\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}$

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

$MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}$

MN ≈ 9.8 m

By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

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2 years ago

a racing car starts fron rest .if it gains an acceleration of 5m/second square in 10 second ,calculate the final velocity.

hjlf

Answer:

The final velocity would be 50 m/s.

Its by formula,

$a = \frac{v - u}{t}$