I was wondering why my previous post was deleted (I attached the same picture below).
I spent a long time drawing and labeling a diagram as well as writing out a detailed formulaic explanation.
Answer:
The dimension of the larger bin is x and the smaller bin is 
.
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75
Hence, the dimension of the larger bin is x and the smaller bin is .
Look at the coefficient of x (the slope).
Is -2 positive or negative?
Since -2 is negative, The slope is negative.
For this case we have the following relationship:
27:9
To find two equivalent relationships, what we must do is divide both numbers by a number that is multiple of both.
We then have to divide by three:
9:3
Then, dividing again between three we have:
3:1
Answer:
two ratios that are equivalent to 27:9 are:
Ratio 1:
9:3
Ratio 2:
3:1
Note that √2 + √2 = 2√2
2/(2√2) = (√2)/2 = 0.707 (simplified)
0.707 is your answer
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