Let's try division first. 46÷5= 9 1/5. So, that doesn't work. Next, we will find the next multiple of five. This is 50. 46+4=50. Right now, Alyson can only make 9 bracelets. (5 x 9 =45) She needs 4 more to use all of her beads, making 10 bracelets.

yes that's it

Step-by-step explanation:

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