The sets of numbers 3, 4, 5 and 5, 12, 13 are examples

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

Answer:

8, 15, 17 — yes
15, 20, 25 — yes
20, 48, 52 — yes
2, 9, 11 — no
39, 80, 89 — yes

Step-by-step explanation:

The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.

{64, 225, 289}, yes

{225, 400, 625}, yes — a 3,4,5 triple multiplied by 5

{400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4

{4, 81, 121}, no*

{1521, 6400, 7921}, yes.

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* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.

7nadin3 [17]3 years ago

5 0

Answer:

15 20 25 yes

Step-by-step explanation:

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Please Help!!!

mylen [45]

B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

$\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots$

That is, we can write the sum more compactly as

$\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n$

The series is geometric with common ratio $\dfrac23$ , so the series converges (and thereby has a sum), so the answer is D.

6 0

3 years ago

A waffle recipe calls for 2 and1/4 cups of flour. If Chun wants to make1 1/2 times the recipe, how much flour does he need?

balandron [24]

2 1/4 x 1 1/2 = 3.375 cups of flour

5 0

3 years ago

Is 67 a multiple of 5

tankabanditka [31]

No, because all multiples of 5 end with 5 or 0

3 0

3 years ago