Simplify the following:
(5 i^3 t^4)/7 - 2
i^3 = i^2×i = (-1) i = -i:
(5×-i t^4)/7 - 2
Put each term in (5 (-i) t^4)/7 - 2 over the common denominator 7:
(5 (-i) t^4)/7 - 2 = (-5 i t^4)/7 - 14/7:
(-5 i t^4)/7 - 14/7
(-5 i t^4)/7 - 14/7 = (-5 i t^4 - 14)/7:
Answer: (-5 i t^4 - 14)/7
Step-by-step explanation:
2112 + 2212 + 2312 / 4 leaves no remainder, as already the individual numbers could be divided by 4 without remainder.
2113 = 2112 + 1
2213 = 2212 + 1
so, we get a remainder of +1 and +1 for these 2 numbers, so we get in total a remainder of +2.
Answer:
Explanation:
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<u>1) Horizontal component</u>
The horizontal component is related to the magnitude of the force by the cosine ratio:
Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).
- cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74
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<u>2) Vertical component</u>
The vertical component is related to the magnitude of the force by the sine ratio:
Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).
- sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95
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<u>3) Form (x,y)</u>
The answer is C.
Point G can be centroid because 12:6 equals 2:1
FG = 6
FC = 18
so
GC = 12
12:6 = 2:1