Was the variable "y" supposed to be part of this equation? If so, perhaps you meant to share the following:
<span> 0.24x − 1.85y = 3.09
− 2.33x = 1.71y
Plese, go back and reread the original question, and then ensure you have shared that question here precisely as it was presented.</span>
Remark
At first glance, one would think this problem isn't possible. But if you use the magnifying glass, you see that it is.
Solve
25 carrots puts you somewhere to the left of the shaded area, so C and D are both wrong.
That leaves you with A or B. You need 30 carrots (or just very slightly less) at least to solve this problem. The way to distinguish between A and B is to look at the line that goes from lower right to upper left. When you magnify this graph, you see that at 30 carrots the line or boundary goes through 20 cucumbers. 21 is just very slightly above that and 25 is far above the other line. 21 cucumbers is the only possible right answer for the number of cucumbers. 25 is too high. B is wrong. The answer is A.
In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.
