In qrs, mq = 63, mr = 70, and ms = 47. which side of qrs is the shortest?

QR is the shortest side

Step-by-step explanation:

∡S is opposite to side QR

∡Q is opposite to side SR

∡R is opposite to side QS

Law of sines states:

QR/sin(∡S) = SR/sin(∡Q) = QS/sin(∡R)

Given that: ∡S < ∡Q < ∡R; then,  sin(∡S) < sin(∡Q) < sin(∡R)

In order to satisfy the law of the sines, side QR must be shorter than side SR, and side SR must be shorter than side QS.

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