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igomit [66]
2 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]2 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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3 years ago
The dimensions of a rectangle are such that its length is 3 in more than its width if the length were doubled and if the width w
emmasim [6.3K]

Length (L): w + 3            ⇒2(w + 3)

width (w): w                    ⇒ w - 1

Area (A) = L x w

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*******************************************

       A + 176 = 2(w + 3)(w - 1)

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w = 13                  w = -14

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7 0
3 years ago
Please help! I don't understand it
kifflom [539]
A)360/6 = 60. 180-60 =120 degrees i think
b) 360/8 = 32.5. 180-32.5= 147.5 degrees i think
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3 years ago
Read 2 more answers
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Hi there
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