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Temka [501]
2 years ago
14

HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.

Mathematics
1 answer:
asambeis [7]2 years ago
7 0
X = 1/2 =0.500

Mark as brainliest
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Calculate the following limit:
aleksklad [387]
\lim_{x\to\infty}\dfrac{\sqrt x}{\sqrt{x+\sqrt{x+\sqrt x}}}=\\
\lim_{x\to\infty}\dfrac{\dfrac{\sqrt x}{\sqrt x}}{\dfrac{\sqrt{x+\sqrt{x+\sqrt x}}}{\sqrt x}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{\dfrac{x+\sqrt{x+\sqrt x}}{x}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{x}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{\sqrt{x^2}}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{x+\sqrt x}{x^2}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\dfrac{\sqrt x}{\sqrt{x^4}}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{x}{x^4}}}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{1}{x^3}}}}}=\\
=\dfrac{1}{\sqrt{1+\sqrt{0+\sqrt{0}}}}=\\
=\dfrac{1}{\sqrt{1+0}}=\\
=\dfrac{1}{\sqrt{1}}=\\
=\dfrac{1}{1}=\\
1


8 0
2 years ago
The formula for the area of a sector with a central angle in radians is ?
zlopas [31]
S= \frac{r^2*\alpha}{2}

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2 years ago
A= 158.368 ft2<br><br> Radius=<br><br> Diameter=
faltersainse [42]
A=(pi)d
158.368=3.14d
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4 0
3 years ago
A square has a side length of 5x and a perimeter of 60.<br> What is the value of x?
kozerog [31]

Answer:

x=3

Step-by-step explanation:

60/4=15\\15/5=3\\x=3

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3 years ago
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14:16 21:24 28:32 are three ratios that are equivalent
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