Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The
2 answers:
Answer:
Option C is correct
(20, 16)
Step-by-step explanation:
As per the statement:
Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18
System of equation is given as:
.....[1]
.....[2]
Multiply both sides by 2 in [1] we have;
....[3]
Add equations [2] and [3] we have;
2x = 40
Divide both sides by 2 we have;
x = 20
Substitute the value of x in [2] we have;
20-y = 4
Subtract 20 from both sides we have;
-y = -16
Divide both sides by -1 we have;
y = 16
therefore, the two numbers did Mira pick is, (20, 16)
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Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
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<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.
