Danica is arranging flowers for a party. on each table, t, there will be a vase of 9 flowers and 3 bowls of flowers with f flowers inside. danica needs an additional 12 flowers for a cake topper. this situation can be written as the following expression:

9t + (3f)t + 12

how many flowers should danica purchase if she has 21 tables with 3 flowers in each bowl?
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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

where is the figure