Draw a detailed diagram and use the Law of Sines to find the missing piece
1 answer:
9514 1404 393
Answer:
- insufficient information
- 7.2 miles
- 18.5 miles
Step-by-step explanation:
1. <u>Insufficient information</u>. We need to know the direction of one observer from the other, and the reference for the angles being measured.
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2. See the first attachment. The law of sines tells you the distance r is ...
r = s(sin(R)/sin(S))
The angle at S is the supplement of the sum of the given angles:
∠S = 180° -35° -45° = 100°
Then the distance is ...
r = (10 mi)sin(45°)/sin(100°) = 7.1802 mi
The distance from Juan to the ship is about 7.2 miles.
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3. See the second attachment. The law of sines tells you the distance 'a' is ...
a = b(sin(A)/sin(B))
a = (10 mi)sin(45°)/sin(50°) ≈ 18.4612 mi
The distance from airplane B to the airport is about 18.5 miles.
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For this case we have the following equation:
The variables are:
t: time in hours
d (t): distance traveled in miles.
We evaluate the distance traveled after 4 hours.
So we have that for t = 4:
Answer:
d (4) = 68
This means that after 4 hours Joanna cycled for 68 miles total
The variables are:
t: time in hours
d (t): distance traveled in miles.
We evaluate the distance traveled after 4 hours.
So we have that for t = 4:
Answer:
d (4) = 68
This means that after 4 hours Joanna cycled for 68 miles total
Answer:
He did not work for 6 days
Step-by-step explanation:
Sam is hired for a 20-day period.
Let x be the no. of days he did not work
So, No. of days he worked = 20-x
he earns per working day = $60
So, he earns for (20-x) days = 60(20-x)
For each day that he does not work, $30 is subtracted from his earnings.
So, Amount deducted for x days = 30x
So, His earning for 20 days =
We are given that At the end of the 20-day period, he received $660
So,
So, he did not work for 6 days
So, Option C is true