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DochEvi [55]
3 years ago
11

A scale drawing of a living room is shown below: A rectangle is shown. The length of the rectangle is labeled 3 inches. The widt

h of the rectangle is labeled 5.5 inches. The scale is 1 to 30. What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0
Steps to solve:
1. Find area: 3in*5.5in=16.5in
2. Scale:
16.5*30=495ft
Answer=495ft
(If scale was 1in to 30in covert 495in to ft which is 4ft 3in which is rounded to 4ft)
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Answer:

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Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
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Final Answer 102.2 and 10^{5}

hope that helps :)

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