Answer:
Step-by-step explanation:
The formula of an area of a circle:
<em>r</em> - radius
We have the endpoints of a diameter of a circle.
The formula of a distance between two points:
Substitute the coordinates of the given points A(3, 4) and B(10, 4):
Therefore we have the length of the diameter: <em>d = 7</em>
We know: <em>d = 2r.</em> Therefore
Substitute to the formula of an area:
<em>There is no such answer in the answers to choose.</em>
<em>Apparently you have some error in the coordinates of the endpoints.</em>
C..............................
Let:
x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
18 / 25 = 0.72 per marker
547.9 is the answer to this