Paul, Fiona and Pip share some sweets in the ratio 4:5:4. Paul gets 24 sweets. How many sweets are there altogether?

78

Step-by-step explanation:

24/4 = 6, so the unit is 6 sweets.

Paul: 4*6 = 24

Finoa: 5*6 = 30

Pip: 4*6 = 24

total = 24+30+24 = 78

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