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:
The original dimensions of the card were 9 inches length and 9 inches width
Step-by-step explanation:
Let x be the original length and width of the card in inches (remember that it was squared originally). The exercise says that the area of the new width, with dimensions x-4 and x-5 is 20 square inches, therefore
(x-4)*(x-5) = 20
x²-9x+20 = 20
x²-9x = 0
x*(x-9) = 0
x = 0 or x = 9
Since x must be positive, then it cant be 0, thus, x has to be 9. The original dimensions of the card were 9 inches length and 9 inches width.
Answer:
(a+b)2 = 4⋅1/2ab+c2 ⇔c2=a2+b2
The circumference of a circle is 2PiR
We have 32Pi, so we can divide 32 by 2 to get the radius
The radius is 16.
The diameter is 2x the radius.
The diameter is 32.
Your answer is B.)