Answer:0.015625
Step-by-step explanation:
Answer:
1 65/76
Step-by-step explanation:
Given that the dilation factor or scale factor between the two spheres is equal to 3:7, the ratio between their volumes is calculated by cubing the numbers in the ratio. That is,
3³:7³
This operation will give us an answer of 27:343
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
Answer:
Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.
You just need to write the same points, but negative. So going from (x,y) to
(-x,-y).
As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).
Hope that helps!
