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Paraphin [41]
3 years ago
10

How do you find the surface area of this prism?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0
Length * width* height
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The beam from a lighthouse is visible for a distance of 14 mi. To the nearest square mile, what is the area covered by the beam
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Can u explain this!?
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3 years ago
The letters r and Θ represent polar coordinates. perform the following.
nexus9112 [7]

Answer:

\boxed{(x - \frac{1 }{ 2})^{2} + y^{2} = \frac{21 }{ 4}}\\

Step-by-step explanation:

r = \frac{5}{r - cos\theta}\\r^{2} - rcos\theta = 5\\\\

\text{Use the relationships}\\r^{2} = x^{2} + y^{2}; cos\theta = \frac{ x}{r }\\

\begin{array}{ll}x^{2} + y^{2} - r(\frac{x }{r }) = 5 & \text{Made the substitutions } \\x^{2} + y^{2} - x = 5 & \text{Simplified } \\x^{2} -x + y^{2} = 5 & \text{Rearranged } \\x^{2} -x + \frac{1 }{ 4} + y^{2}= 5 + \frac{1 }{ 4} & \text{Completed the square } \\(x - \frac{1 }{ 2})^{2} + y^{2}= \frac{21 }{ 4} & \text{Wrote as sum of squares} \\\end{array}\\\\

\text{This is the equation of a circle with centre at (0.5, 0 ) and radius equal to}\\\frac{\sqrt{21} }{ 2} \approx 2.291\\

\boxed{(x - \frac{1 }{ 2})^{2} + y^{2}= \frac{21 }{ 4}}\\

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3 years ago
7. To the nearest tenth, what is the square root of 33?
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The square root of 33 to the nearest tenth is 5.7

Hope this helped :)
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