we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
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</h3><h3>What is the scale factor from M to S?</h3>
Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.
So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:
M = S*K
If that scale factor is 3/2, then we have the case of the problem:
M = (3/2)*S
We can isolate S in the above relation:
(2/3)*M = S
Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.
Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
If you want to learn more about scale factors:
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Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is 
, which is 
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is 
.
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
average rate of change is 3/2
Step-by-step explanation:
Recall that the average rate of change in an interval [x1, x2], is defined as:
[f(x2)-f(x1)] / (x2 - x1)
which for the interval [0, 2] becomes:
[f(2)-f(0)] / (2 - 0)
From the graph we read that f(0)= 1 and f(2) = 4, therefore:
[f(2)-f(0)] / (2 - 0) = [4 - 1] / 2 = 3/2
Answer: 3y +2
Step-by-step explanation:
