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pentagon [3]
3 years ago
12

Carl is drawing blueprints for a new building. Although the building will be 40 feet (480 inches) tall, his drawing is only 10 i

nches tall. Assuming the drawing is to scale, what is the ratio of the building to the drawing
Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

48:1

Step-by-step explanation:

In this case we know the actual size and the size in the drawing therefore we can calculate its scale.

What we must do is divide the actual size by the size in the drawing. We know the actual size is 480 inches and in the drawing the size is 10 inches, so:

480/10 = 48

Which means that the relationship between the real and the drawing is 48:1

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The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T
ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

(x-3)^{2} + (y+4)^{2} = 9 (i)

The general equation of circle is mentioned below,

(x-h)^{2} + (y-k)^{2} = r^{2} (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

(x-3)^{2} = (x-h)^{2}

(x-3) = (x-h)

h = 3

(y+4)^{2} = (y-k)^{2}

(y+4) = (y-k)

k = -4

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0
2 years ago
Read 2 more answers
Number of whole numbers between 45 and 69 is _________ .<br> (a) 31 (b) 23 (c) 25 (d) 28
tatiyna

The number of whole number is 23 through subtracting the numbers. hope it helps ☺️

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2 years ago
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Need this now<br>need it----------<br>----------​
lina2011 [118]

Answer: X = kuv/ (u+v)

that means that x(u+v)/(uv) = k, a constant. so you want x such that,

x(3+3)/(3*3) = 3(3+1)/(3*1)

x=6

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2 years ago
Pls help me with this i really need a answer???
Kitty [74]
The answer is 104 centimeters squared :)
(The first one)
3 0
3 years ago
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Solve 7x 6 &lt; 3(x - 2).{x | x &gt; -3}{x | x &lt; -3}{x | x &lt; -2}{x | x &lt; 0}
Lelechka [254]
7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
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<span>{x | x < -3}</span>

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