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ad-work [718]
3 years ago
11

Carpet costs 15 per square yard. How much will it cost to carpet a room that is 180 square feet?

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0
$240 have a great day
Vadim26 [7]3 years ago
3 0

Answer:

it is 300

Step-by-step explanation:

180 square feet

So  

3 feet = 1 yard

9 square feet = 1 square yard

180/9 = 20 square yards

20 x 15 = $300

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Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck
Nimfa-mama [501]
\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}
\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}

Now, isolate the variables, so you can integrate.
(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}
\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}
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4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C
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At x = 1, y = 0.
0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}
-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}

4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0
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C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}
C = -\frac{\pi}{2}

\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}
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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
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