Answer:
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Step-by-step explanation:
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Given:
The circumference of the base of a cone is 10π cm.
The circumference of the base of a second similar cone is 20π.
To find:
The ratio of the surface area of the first cone to that of the second cone.
Solution:
Let the radii of base of two cones are and respectively.
Circumference of the circular base is , where, r is radius.
We have,
And,
It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.
The ratio form is
Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.
First of all, we need to know the coordinate of ABCD and A'B'C'D', so the coordinate of ABCD will be:
A(-3,5)
B(-1,2)
C(-2,-1)
D(-5,-3)
Then, coordinate of new figure will be:
A'(-7,8)
B'(-5,5)
C'(-6,2)
D'(-9,0)
Next,
Let's try all the translations:
(x,y) to (x+4,y+3)
A(-3,5) to A'(-3+4, 5+3)
A(-3,5) to A'(1,8)
Which is not right because A' need to be (-7,8)
(x,y) to (x-4,y+3)
A(-3,5) to A'(-3-4,5+3)
A(-3,5) to A'(-7,8)
B(-1,2) to B'(-1-4,2+3)
B(-1,2) to B'(-5,5)
C(-2,-1) to C'(-2-4,-1+3)
C(-2,-1) to C'(-6,2)
D(-5,-3) to D'(-5-4,-3+3)
D(-5,-3) to D'(-9,0)
Yay, we found the answer. As a result, (x,y) to (x-4,y+3) is your final answer. Hope it help!