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Svetlanka [38]
4 years ago
8

Dont understand this question it confucing

Mathematics
1 answer:
Juliette [100K]4 years ago
8 0
So, let's see, Amber made 3 penalty shots off 4, now, 3 out of 4 is 75% or 3/4.  So she's 75% of the time effective.

Lindsay has made 4 out of 6 penalty shots, 4/6 or 2/3, that's about 66% effectiveness.

Li has made 2 out of 3 penalty shots, that's 2/3, that's about the same 66% effectiveness.

so, which fraction is highest 3/4, or 2/3 or 2/3?  neverminding the percentages, let's multiply all by the LCD, let's see from 4, and 3, and 3, the LCD is 12.

so, let's multiply all of them by 12, to get rid of the denominator, to see which is highest.

\bf 12\cdot \cfrac{3}{4}\implies \boxed{9}\qquad \qquad 12\cdot \cfrac{2}{3}\implies \boxed{8}

notice, Amber has the higher effectiveness rate, to make it through in the penalty kick.
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Step One
======
Find the length of FO (see below)

All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)

Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ

Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.

FO^2 = FJ^2 + OJ^2
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FJ = 1/2 [(sqrt(5) + sqrt(2)]                                           \
OJ = ??

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21/4 + 6/4* sqrt(10) = OJ^2
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sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )

Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.


7 0
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