Select all of the scales that are equivalent to 3 cm to 4 km.
1 answer:
In mathematics, a scale can be described in charts as a marking system at predefined times, which determines the relationship between the units that are being used and their images on the graph, and the further calculation can be defined as follows:
- Since in this question, the ratio is between 3 cm to 4 km you can make a
split, and if you are split between 3 and 4, you get the ratio between
.
Therefore the final answer is "0.75 cm to 1 km"
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By using the information given on the graph, we can see that a = 3.
<h3>How to find the value of a?</h3>
Here we have an exponential of the form:
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
From the first equation we get that p = 4, replacing that on the second one we get:
So we conclude that a = 3.
If you want to learn more about exponential equations:
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Let, the length be l and breadth be b.
So, 2(l + b) = 26
Or, l + b = 13
Or, l = 13 - b
So, we may write like this,
Area = l * b
Or, l * b > 30
Or, l (13 - l) > 30
Or, 13l - l^2 > 30
Or, l^2 - 13l + 30 > 0
Or, l^2 - 3l - 10l + 30 > 0
Or, l(l - 3) - 10(l - 3) > 0
Or, (l - 3)(l - 7) > 0
Or, l - 7 > 0
Or, l > 7.
Now, putting the value of l,
We get, l * b > 30
Or, 7 * b > 30
Or, b > 30/7
➡️ Therefore, we get,
Length > 7
Breadth > 30/7
That's it..