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igomit [66]
3 years ago
9

Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers sep

arated by commas.​
Mathematics
1 answer:
viktelen [127]3 years ago
6 0

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.

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Esteban made the following drawing and then stated this conjecture the altitude of atriangle always lies inside of or along the
Radda [10]

Answer:

The error Esteban made that the altitude can be lie outside the triangle

Step-by-step explanation:

* Lets explain the position of the altitude in any triangles

- The altitude of a triangle is a line drawn from a vertex to the

  opposite side and perpendicular to it

- So altitude is the shortest distance from a vertex to its opposite side

- If the triangle is acute triangle, then its altitudes lie inside it

- If the triangle is obtuse triangle, the the altitudes of the sides of

 the obtuse angle lie out side it and the third altitude lies inside it

- If the triangle is right triangle, then the two sides of the right angle

 are altitudes of it and the third altitude lies inside it

- Look to the attached figures for more understand

∵ Esteban said  the altitude of a triangle always lies inside of or

  along the side of the triangle

∴ The error Esteban made that the altitude can be lie outside

   the triangle

5 0
4 years ago
Please answer this, FAST!! please!!!
rjkz [21]

Answer:$15.40

Step-by-step explanation:

6 0
3 years ago
85 kilometers is equivalent to how many meters?
vekshin1
85 kilometers is equivalent to 85000 meters
8 0
3 years ago
It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

=4x3+2/3 ÷ 1x3+2/3

=14/3 ÷ 5/3

In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

=14/1 x 5/1

=14/5

=2.8 miles/hour

Therefore their average speed is 2.8 miles/hour.

Hope it helps!

8 0
3 years ago
3.2654376... Rational or Irrational *<br> O Rational<br> O Irrational
Jlenok [28]

Answer:

its irrational if the number goes on forever my g

6 0
4 years ago
Read 2 more answers
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