Evaluate 1 + ( - 2/3 ) - (-m) where m - 9/2.

29/6

Step-by-step explanation:

1+ -2/3 - (-m)

1 - 2/3 + m

1/3 + m

Let m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 = 2/6

9/2 *3/3 = 27/6

2/6 + 27/6

29/6

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

hope this .

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