What is the most important thing to remember about converting decimals to fractions, and why ?

It is a way to represent a fraction by a set of common denominators: 1/10, 1/100... The advantage of decimals is that because all of them are in common denominators already, addition, subtraction and comparing are quite straightforward. To convert decimal to fraction is very simple, 3.14=314/100.

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

283 square feet

step-by-step explanation:

good luck