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Oxana [17]
3 years ago
10

68 is what percent of 71?

Mathematics
2 answers:
pantera1 [17]3 years ago
5 0
I think the answer is 68 is 95.77% of 71. But I'm not that sure.

Hope this helps!!!!   :)
fomenos3 years ago
3 0
1. We assume, that the number 71 is 100% - because it's the output value of the task. 

<span>2. We assume, that x is the value we are looking for. </span>
<span>
3. If 71 is 100%, so we can write it down as 71=100%. </span>
<span>
4. We know, that x is 68% of the output value, so we can write it down as x=68%. </span>

5. Now we have two simple equations:

1) 71=100%

2) x=68%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
71/x=100%/68%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 68% of 71

71/x=100/68
<span>(71/x)*x=(100/68)*x       - </span>we multiply both sides of the equation by x
<span>71=1.4705882352941*x       - </span>we divide both sides of the equation by (1.4705882352941) to get x
<span>71/1.4705882352941=x </span>
<span>48.28=x </span>
x=48.28

<span>now we have: </span>
<span>68% of 71=48.28</span>
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UkoKoshka [18]
<h3>Answer:   10*sqrt(30)</h3>

That is the same as writing 10\sqrt{30}

======================================================

Explanation:

The diagram shows that

  • AC = 60
  • AD = 50

That must mean DC = AC-AD = 60-50 = 10

We'll use this to help find BD as shown below

AD/BD = BD/DC

AD*DC = BD*BD .... cross multiply

(BD)^2 = AD*DC

BD = sqrt(AD*DC) ..... geometric mean formula

BD = sqrt(50*10)

BD = sqrt(500)

----------------------

Now apply the pythagorean theorem to find AB. Focus on triangle ABD.

(AD)^2 + (BD)^2 = (AB)^2

(AB)^2 = (AD)^2 + (BD)^2

(AB)^2 = (50)^2 + (sqrt(500))^2

(AB)^2 = 2500 + 500

(AB)^2 = 3000

AB = sqrt(3000)

AB = sqrt(100*30)

AB = sqrt(100)*sqrt(30)

AB = 10*sqrt(30)

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