Which set of three side lengths will NOT form a triangle?

2 answers:

6 0

B. 25, 38, 13
These 3 will not form a triangle because the sum of the shorter sides must be greater than the longest side.
25 + 13 = 38 which is not greater than 38

elena-s [515]3 years ago

4 0

<span>B
25, 38, 13
</span>
25 + 13 = 38 (in a triangle the sum of two sides is always greater than the third side.)

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Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling

sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are $2^{30}$ lilypads on the 30th, and $2^{29}$ lilypads on the 29th. This can be deduced multiplying succesively by 2.