The appropriate relation is ...
... s = rθ
Filling in the given information, you get ...
... 3 ft = r·(1/4)
Multiply by 4 and you find r:
... 12 ft = r
Step-by-step explanation:

Answer:
Segment Addition Postulate
Step-by-step explanation:
In geometry, the Segment Addition Postulate states that given 2 points A and C(in this case S and O), a third point B(in this case R) lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Meaning for R to lie on the line SO;
SR + RO must be equal to SO
7/7 - 4/7 = 3/7
This is the relationship between the quantities
Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.