Step-by-step explanation:
a)
DA is tangent and at point A and OA is radius of the circle.
(Angle formed at the circumference of the circle is half the angle formed at the center of the circle)

1. x = cost of one adult ticket
y= cost of one child ticket
2x+3y=31.60
x+2y=18.60 l multiply by -2
2x+3y=31.60
-2x-6y=-37.2
-3y=-5.6
y=1.87
2x+3(1.87)=31.60
2x+5.6=31.60
2x=31.60-5.6
2x=26
x=26/2
x=13
Answer: The adult ticket is $13 and the child ticket is $1.87
" of " means multiply
1/4(12) = 12/4 = 3
1/4(8) = 8/4 = 2
so 1/4 of 12 is greater then 1/4 of 8
Answer: 5
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)
the square root of 4^2 + 3^2 = c
c = 5