15x+5y=-20 solve for y
2 answers:
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Answer: Ground Speed = 91 km/hr, Bearing = 189°
<u>Step-by-step explanation:</u>
Step 1: Draw a picture (see attached) to determine the angle between the given vectors. Notice that I moved the wind vector 180° <em>so the head of the wind vector would line up with the tail of the plane vector. </em>This created an angle of 34° between the plane and wind vectors. <em>Why?</em>
- the dashed line is 45°
- 79° (plane) - 45° (wind) = 34°
Step 2: Solve for the length of the resultant vector using Law of Cosines
<em>c² = a² + b² - ab cos C</em>
c² = (111)² + (25)² - (111)(25) cos 34°
c² = 12,946 - 4601
c² = 8345
c = 91
Ground speed is 91 km/hr
Step 3: Solve for the bearing of the resultant vector using Law of Sines
A = 9°
<em>Reminder that we moved the wind vector 180° to create the resultant vector so we need to add 180° to our answer.</em>
Bearing = A + 180°
= 9° + 180°
= 189°
The first condition is for the perimeter of the equation so:
Now the secon condition is that the sum of two sides should be:
so the negative option and 0 don't make sence dor a distance, then we try with the value of b=0.5
So in the first equation will be:
So the condition:
this is false, so the solution is
Answer:
The complete answer is explained below.
Step-by-step explanation:
The problem is demanding to simply determine the number of years each color light would last.
We know the following information from the question:
- As it is clear that a red light remains TURNED ON 50% of the time.
- Green remains TURNED ON 42% of the time
- Yellow remains TURNED ON 8% of the time.
Also the bulbs for each color are LED and are designed to last 100,000 hours. So, each light does last 100,000 hours.
lets make conversions
As
Dividing hours by
hours would bring
days
Dividing days by
days would bring
years, meaning 11 years and 4 months.
Keywords: light, conversion, day, hours
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