According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

3 0

3 years ago

Read 2 more answers

1.9996 by 2 significant numbers

Svetradugi [14.3K]

1.9 or rounding with 2.0

8 0

3 years ago

For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?

slava [35]

Answer:

All statements are true

Step-by-step explanation:

1. The statement $S_{500}>S_{499}$ is true, because $S_{499}$ is the sum of first 499 terms, $S_{500}$ is the sum of first 500 terms, and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement $S_{500}>a_{500}$ is true, because $S_{500}$ is the sum of first 500 terms, $a_{500}$ is 500th term and the sum of 500 terms is greater than the 500th term.