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12345 [234]
3 years ago
7

Can someone please help me with this please?

Mathematics
1 answer:
valina [46]3 years ago
4 0

Step-by-step explanation:

Area of the rectangle = 9×6 = 54 m²

Area of the path is also 54 m²

so total area of the bigger rectangle is 54+54 = 108 m²

now the ratio of length to width is 9:6 or, 3:2

so, for 108 m²

(3x)(2x) = 108

6x²=108

x²=18

x=3√2

So length = 3x = 9√2 and width = 2x = 6√2

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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
3 years ago
Read 2 more answers
ALGEBRA 2 word PROBLEM HELP ME PLEASE !!!
gizmo_the_mogwai [7]

Answer:

l = 231 ft (nearest ft)

Step-by-step explanation:

sin60 = 200/x

xsin60 = 200

x = 200/sin60

  = 231 ft (rounded to nearest ft)

3 0
3 years ago
What is the length of the midsegment of a trapezoid with bases of length 15 and 25 ?
morpeh [17]
15+25 /2.
40 /2

Mid segment equals 20
8 0
3 years ago
A house was bought for $50000 and was sold 15 years later for $95000. find the effective yield.
11Alexandr11 [23.1K]

Answer:

If we divide that by 15 years, we get an annual yield of

$3,000 per year.

Step-by-step explanation:

welcome :)

8 0
3 years ago
3x - 3 = 15 <br>ASAP.........​
bagirrra123 [75]

Answer:

x = 6

Step-by-step explanation:

3x - 3 = 15

3x = 15 + 3

3x = 18

x = 18/3

x = 6

hope it helps!

8 0
3 years ago
Read 2 more answers
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