3 years ago

What's the sum of all the integers between √3 and √89 ?

1 answer:

7 0

So the closest integer above the square root of 3 is 2, and the closest integer below the square root of 89 is 9. (square root of 4 and 81, respectively.)

So we just want to add together all numbers between (including) 2 and 9.

So,

2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

Or,

11 * 4

44

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The approximate distance between J and K is units. The approximate distance between K and L is units. The approximate distance b

Dima020 [189]

Count the distance d, which gives you 7.

Use Pythogarean theorem to find c:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug in the numbers:
${4}^{2} + {3}^{2} = {c}^{2} \\ \\ = 16 + 9 \\ \\ = 25 \\ \\ c = \sqrt{25} = 5$
c is 5.

Same thing with g:
${e}^{2} + {f}^{2} = {g}^{2} \\ \\ {g}^{2} = {4}^{2} + {4}^{2} \\ \\ = 16 + 16 \\ \\ = 32 \\ \\ g = \sqrt{32} = 4 \sqrt{2} = 5.66$
g equals 5.66.