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AnnZ [28]
3 years ago
9

Between what 2 consecutive integers does /35 lie

Mathematics
1 answer:
adell [148]3 years ago
7 0
The correct question is 
<span>Between what two consecutive integers does Square Root Of 35 lie?
</span>
we know that

I <span>need to find two numbers </span>n<span> and </span>m<span> such that
</span>n < (√35)< m --------->  n² < 35 < m²

<span>list the first squares
</span>1²<span>=1</span>;
2²<span>=4</span>;
3²<span>=9</span>;
4²<span>=16</span>;
5²<span>=25</span>;
6²<span>=36</span><span>...

</span>So,
 you can see that <span>n=5</span><span> and </span><span>m=6</span><span> satisfy the request
</span>
the answer is
5 and 6


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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
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Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

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Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

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(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

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