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ad-work [718]
2 years ago
13

what is the lub and glb of the following sets, in the set of real numbe if exists E={ 0.2,0.23,0.234,0.2343,0.23434,0.23434,...}

​
Mathematics
1 answer:
Brums [2.3K]2 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

LUB(E)=0.2=\dfrac{1}{5} \\\\GUB(E)=0.2 34 34 34 ....=0.2+\dfrac{1}{10} *0.343434....\\\\=\dfrac{1}{5} +\dfrac{1}{10} *\dfrac{34}{99} \\\\=\dfrac{198+34}{990} \\\\=\dfrac{116}{495}

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The measure of ∠C is 30°.

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.

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The measure of side AC is:

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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