In a pepper airplane contest, amanda's plane flew 19ft farther than darren's plane. darren's plane flew twice as far as rachel's plane. rachael's plane flew 20ft. how far did amanda's plane fly?

Amanda's plane flew 59ft

Step-by-step explanation:

So you make simple formulas for this A= Amanda D= Darren and R= Rachel

Darren's is twice as far as Rachel's so D=2R

Amanda's when 19 more feet than Darren's so A=D+19

Then you plug in, you know R=20

D=2R          D=2*20     D=40

A=D+19      A=40+19    A=59

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

{3 + i, 3 - i, 3, -1}

step-by-step explanation: