Charles bought a box of fruit that contained only oranges and tangerines.
There were 5 oranges for every 3 tangerines in the box,
there were 20 oranges in the box.
Which of the following proportions can be used to find x, the number of tangerines in the box?

x=12

S1tep-by-step explanation:

oranges=20                                                              

20/5=4

tangerines=x

x=4x3

x=12

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