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Aleksandr [31]
2 years ago
6

Olivia hopes to complete 45 of the levels of her computer game by the end of the week. So far, she has completed 23 of the level

s. What part of the levels must she still complete to meet her goal?
Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

Answer:

2/15

Step-by-step explanation:

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The value of DC is 66.34.

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Then the measure of angles BCA and ACD will be 15° each.

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Then the measure of angles DAC and BAC will be 75° each.

Now consider the right angled triangle ABC.

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AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}

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tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34

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