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➷ a/sinA = c/sinC
Substitute in the values:
37/sin(42) = c/sin(41.5)
Multiply both sides by sin(41.5)
37/sin(42) x sin(41.5) = c
Solve:
c = 36.63999457
The correct answer would be C. 36.64
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1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2) The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5). There are 18 outcomes in this event.
3) The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours
<em><u>Solution:</u></em>
Amount earned in babysitting = $ 12 per hour
Amount earned in clearing tables = $ 8 per hour
In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180
Sofia worked 14 hours babysitting
Therefore,
Amount earned at babysitting = 14 x 12 = 168
Thus, Sofia earned $ 168 at babysitting
Sofia must earn a minimum of $ 180
Remaining amount to be earned = 180 - 168 = 12
Thus, Sofia must earn $ 12 from clearing tables
Amount earned in clearing tables = $ 8 per hour
So, she must work for atleast 1.5 hours to get $ 12 from clearing tables
She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting
Remaining is 17 - 14 = 3 hours
Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours
