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.
Answer:
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Step-by-step explanation:
Answer:
Part a)
We need to find the equation of the line with a slope of -5 and a y-intercept of (0,3)
Part b)
The information that we have; we know the value of he slope, -5, and the y-intercept (0,3).
Part c)
strategies to use;
we can use the standard form of the equation of a straight line in slope -intercept form;
y=mx+c
Step-by-step explanation:
We have been given the slope is -5, thus the value of m is -5. moreover, the y-intercept is given as, (0,3) thus c is 3.
Final answer to the problem is;
y=-5x+3
Answer:
Step-by-step explanation:
we know that
The volume of a cylinder (water pipe) is equal to
In this problem we have
-----> the radius is half the diameter
----> convert to inches