As AB is a diameter, then m∠CBA=180^{0}-75^{0}=105^{0}.
∠CBA is a central angle, so its measure multiplied by radius is the length of arc AC.
Note that

and

. Then

and length of the arc is

.The correct answer is 22 in.
Answer:
8 hours of work
Step-by-step explanation:
$234 ÷ 18 = $13 an hour
$104 ÷ 13 = 8 hours of work
Answer: the cost of one chicken is $8
The cost of one duck is $5
Step-by-step explanation:
Let x represent the cost of one chicken.
Let y represent the cost of one duck.
Last month, he sold 50 chickens and 30 ducks for $550. It means that
50x + 30y = 550- - - - - - - - - - - 1
This month, he sold 44 chickens and 36 ducks for $532. It means that
44x + 36y = 532- - - - - - - - - - - 2
Multiplying equation 1 by 44 and equation 2 by 50, it becomes
2200x + 1320y = 24200
2200x + 1800y = 26600
Subtracting, it becomes
- 480y = - 2400
y = - 2400/- 480
y = 5
Substituting y = 5 Intl equation 1, it becomes
50x + 30 × 5 = 550
50x + 150 = 550
50x = 550 - 150
50x = 400
x = 400/50
x = 8
A.23/6
b.23/8
c.26/5
d.64/9