Answer:
4/9
Step-by-step explanation:
The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:
k = ∛(1.6/5.4) = 2/3
Then the scale factor for the areas will be the square of this scale factor:
ratio of surface area = (2/3)² = 4/9
_____
The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.
Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.
Answer:
1.33 ounces
Step-by-step explanation:
Divide the food by the cats. 8/6=4/3≈1.33 ounces.
Rotated
<h2>
Explanation:</h2>
Remember you have to write complete questions in order to find good and exact answer. So in this case I'll provide a general explanation and say that the blank can be filled with the word rotated. First of all, when dilating objects we reduce or enlarge the size of them. It's important to know the scale factor because this tells use whether the object will be larger or smaller, so if we call
the scale factor, then:
- If k > 0 then the object will be larger than the original.
- If k < 0 then the object will be smaller than the original.
Moreover, the center of dilation is the point where all the lines that meet corresponding points of the original and dilated figure.
On the other hand, to rotate a shape we turn it about a fixed point that we call the center of rotation. So, in this case we'll have that ΔMNO is similar to ΔYHQ.
<h2>Learn more:</h2>
Dilation:
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