It is important to note that when we say proportional, the increase in the value of the independent variable (in this case, distance x) will also increase the value of the dependent variable (density, d). Using k as the proportionality constant, the answer to this question would then be,
d = kx
Answer:
Step-by-step explanation:
Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.
The ratio <em>rise/run</em> is the equal to the rate of change
or the <em>change in y/change in x</em>.
In algebra, the rate of change or the <em>change in y/change in x</em> or
the <em>rise/run</em> is also called the slope of a line.
(0, 0) → t = 0, w = 0 → w = 0 · 0
(1, 4) → t = 1, w = 4 → w = 1 · 4
(2, 8) → t = 2, w = 8 → w = 2 · 4
(3, 12) → t = 3, w = 12 → w = 3 · 4
<h3>Answer: w = 4t</h3>
Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center ( in radians)
In this case m < theta = 360 - 235 = 125 degrees or 2.182 radians
So, the area of shaded area = 1/2 * 20^2 * 2.182 = 436.4 in^2
