Respuesta :
Answer:
[tex] \frac{d_2}{d_1} =\frac{\sqrt{6}}{\sqrt{4}}=\sqrt{\frac{6}{4}} = \frac{\sqrt{6}}{2}= 1.225[/tex]
Or in the other way:
[tex] \frac{d_1}{d_2} =\frac{\sqrt{4}}{\sqrt{6}}=\sqrt{\frac{4}{6}} = \frac{\sqrt{6}}{3}= 0.816[/tex]
Explanation:
For this case we need to remember that hectare is a measure of area. And we have the following ratios:
[tex] r_1 =40000 \frac{plants}{acre}[/tex]
We can convert this into [tex]plants/m^2[/tex]
[tex] r_1 = 40000 \frac{plants}{acre} *\frac{1 acre}{10000 m^2}=4 \frac{plants}{m^2}[/tex]
[tex] r_2=60000 \frac{plants}{acre}[/tex]
We can convert this into [tex]plants/m^2[/tex]
[tex] r_2 = 60000 \frac{plants}{acre} *\frac{1 acre}{10000 m^2}=6 \frac{plants}{m^2}[/tex]
By dimensional analysis we assume that [tex] A = L^2[/tex] we can find the ratio in terms of distance like this:
[tex] d_1 =\sqrt{4}= 2 \frac{\sqrt{plants}}{m}[/tex]
[tex] d_2= \sqrt{6}= 2.449 \frac{\sqrt{plants}}{m} [/tex]
And if we find the ratios in terms of distance we got:
[tex] \frac{d_2}{d_1} =\frac{\sqrt{6}}{\sqrt{4}}=\sqrt{\frac{6}{4}} = \frac{\sqrt{6}}{2}= 1.225[/tex]
Or in the other way:
[tex] \frac{d_1}{d_2} =\frac{\sqrt{4}}{\sqrt{6}}=\sqrt{\frac{4}{6}} = \frac{\sqrt{6}}{3}= 0.816[/tex]
Based on the data provided, the ratio of the distance between the corn plants in Field 2 to the distance between the corn plants Field 1 is 1.22.
What is the relationship between hectare and square metre?
To convert between hectare and square metre, the conversion factor is:
- 1 hectare = 10000 square metre
Thus the densities of the fields in per square metre is as follows:
Density of Field 1 = 40000/10000 = 4 plants per square metre
Density of Field 1 = 60000/10000 = 6 plants per square metre
Assuming that the field is a square;
- Distance = √area
Distances between plants in of Field 1 = √4
Distances betwwen plants in Field 2 = √6
Ratio of distances in Field 2 and distances in Field 1 is given as:
Ratio = √6/√4 = 1.22
Therefore, the ratio of the distance between the corn plants in the more-densely-planted Field 2 to the distance between the corn plants in the less-densely-planted Field 1 is 1.22.
Learn more about ratios at: https://brainly.com/question/573032
