Answer:
The ship travels approximately 10.261 meters to the East.
Step-by-step explanation:
At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:
(1)
Where:
- Distance travelled by the ship, measured in kilometers.
- Bearing angle, measured in sexagesimal degrees.
- Distance component in the east direction, measured in kilometers.
If we know that 
and 
, then the distance in the East direction is:
The ship travels approximately 10.261 meters to the East.
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To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF. ... The numerator and the denominator of the fraction are coprime numbers (no common prime factors, GCF = 1), the fraction cannot be reduced (simplified): irreducible fraction.
Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
First add 5 to right side
Next , to cancel the 7, you need to multiply by 7 on both sides
