A school board voted whether to adopt a new math text book. Those that voted yes outvoted those that voted no by a ratio of 5:1 if 18 total school board members voted in the meeting how many voted yes for new math books?

Members that voted yes = 15 Members

Step-by-step explanation:

Members that voted yes : members that voted no = 5 : 1

Total ratio = 5 + 1 = 6

total school board members that voted = 18

how many voted yes for new math books?

Members that voted yes = 5/6 × 18

= 0.8333333333333 × 18

= 15 members

Members that voted yes = 15 Members

members that voted no = 1/6 × 18

= 0.1666666666666 × 18

= 3

members that voted no = 3 members

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

no this is a nonlinear negative