Step-by-step explanation:
Length of arc of a circle is given as:
Thus, the measure of central angle is 140°.
Answer:
C
Step-by-step explanation:
Assuming the triangles are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
2.4x = 13.44 ( divide both sides by 2.4 )
x = 5.6 → C
Answer:
arc BC = 16°
arc ABC = 196°
Step-by-step explanation:
arc BC = 180 - 164 = 16
arc ABC = 180 + 16 = 196
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Lillian works 7 hours each day for 5 days a week and that she earns £420 each week.
Her earnings per day will be: $420/5 days = $84/day.
Since she works 7 hours each day, her earning per hour will be:
= $84/7
= $12 per hour.
We are further told that Lillian decides that she is going to work 7 hours each day for only 4 days a week and that her earnings are to be reduced by 20%.
Her new earning will be:
= $420 - (20% × $420)
= $420 - (0.2 × $420)
= $420 - $84
= $336.
Her earnings per day will be:
= $336/4 days
= $84 per day
Her earnings hour will be:
= $84/7
= $12 per hour
A reduction of 20% is reasonable as she has lesser days to work while still maintaining the same wage rate per hour. Her per hour rate is still $12 despite working for lesser days.
