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The statement can be represented as :

[ for t = 12 ]



Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer:
13.44 or 13 11/25 hours
Step-by-step explanation:
First use this format: number of essays/hours
- they are asking if all three work together, how many hours would it take, so this means addition:
50/7 + 50/14 + 25/6 = 200/x
Second, solve:
- least common multiple: 42
300/42 + 150/42 + 175/6 = 200/x
625/42 = 200/x
- cross-multiply
625x = 8,400
x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)
SohCahToa
Heard of it?
Sine- opposite over hypotenuse
Cosine-adjacent over hypotenuse
Tangent- opposite over adjacent