To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
Times it bye 4 thin subtract bye 6
Answer:
A
Step-by-step explanation:
1- The answer is that she wants the new time to be 32 minutes
Solution: The question asks that she wants to DECREASE by 20%
What you will do it convert 20% to a decimal (which is 0.20)
Then, you need to multiply the minutes by the decimal:
40 x 0.20 = 8 minutes
Now you know that 8 minutes will be 20% of 40 minutes, so you just subtract 8 from 40 UwU
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.
