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Lemur [1.5K]
3 years ago
9

Can somebody help me with this due last week just haven’t been able to get to it

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
All you have to do is divide the numerator by the denominator then move the decimal to the right 2 places to get the answer.
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The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.
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The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of th
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In a regular triangle ABC with side 1, two squares MNKL, RKPT are drawn such that points M, L, R are on the side AC (the order o
Orlov [11]

Answer:

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  • RK = (14√3 -12)/37 ≈ 0.331046

Step-by-step explanation:

In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...

  AM = LR = x/√3

  RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x

Then the sum of lengths along AC is ...

  AC = AM +ML +LR +RC

  1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)

Then the value of x is ...

  x=\dfrac{3\sqrt{3}}{7\sqrt{3}+6}=\dfrac{3\sqrt{3}(7\sqrt{3}-6)}{(7\sqrt{3})^2-6^2}=\dfrac{3(21-6\sqrt{3})}{3(49-12)}\\\\\boxed{MN=\dfrac{21-6\sqrt{3}}{37}}\\\\RK=\dfrac{2\sqrt{3}}{3}MN\\\\\boxed{RK=\dfrac{14\sqrt{3}-12}{37}}

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3 years ago
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