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morpeh [17]
3 years ago
15

The area of a square garden is 50 m3. How long is the diagonal?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

10 m

Step-by-step explanation:

If the area of a square is 50 m2, then the length of each side will be \sqrt{50} m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length \sqrt{50} m each.

the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:

(hyp)^{2} = (opp)^{2}   + (Adj)^{2}, so we have:

(diagonal)^{2}  = 50 + 50

(diagonal)^{2}  = 100

diagonal = 10 m

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olga2289 [7]
Answer:  9 1/3 - 2/3 =  8  2/3 .
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Note:  If the answer were "8 1/3" ; 

then:  "8 1/3 + 2/3 =? 9 1/3 ? "  

      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
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So the answer has to be MORE than "8 1/3"

Try "8 2/3"  → "8 2/3 + 2/3 =? 9 1/3?" ?? ; 
        
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 So, the answer is:  "8  2/3" .
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Another method:
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Given the problem:  "<span>9 1/3 - 2/3 " ;
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Note that:  "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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   Start with:  "</span>9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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</span>Another method:
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Given the problem:  
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  "9 1/3 - 2/3 = ?? " ;
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  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
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  So, we rewrite as:  
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   28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8  2/3 .
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Step-by-step explanation:

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