What is the length of leg s of the triangle below?
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Answer: 92.50%
From the given problem, we can say that the total volume of the concentration is:
The initial volume of the solution is 555 mL. After the evaporation, the 50% sucrose solution lost 255 mL.
To find the concentration of the remaining 300 mL, we will use the following formula:
Where:
C₁ = initial concentration
C₂ = final concentration
V₁ = initial volume
V₂ = final volume
From the given, we know that:
C₁ = 50% = 0.50
C₂ = ?
V₁ = 555 mL
V₂ = 300 mL
Substitute these to the formula and we will get:
Therefore, we can say that the sucrose concentration in the remaining 300mL is 92.50%
The equation to represent the relationship of the weights shown on the scale s
The weights are given as:
The total weight on one side, where there are 4 small squares and 3 large squares is:
The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:
The weight of the triangle is x.
So, we have:
The weights on both sides are equal, because the scale is balanced.
So, we have:
Hence, the equation is
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