What is the measure of the arc labeled ?

The measure of the arc label is equal to the measure of the central angle that intercepts the arc.

? = 130°

Step-by-step explanation:

Minor arc VT is labeled ?. Let's call its measure x.

The measure of major arc VT is 360 - x

m<U = [(measure of major arc VT) - (measure minor arc VT))/2

50 = [(360 - x) - (x)]/2

50 = [360 - x - x]/2

100 = 360 - 2x

-2x = -260

x = 130

? = 130°

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

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step-by-step explanation: