Which of these are rational?
(Can be more than one)

11.47723
6.
4.01
12.

So unless the expression 11.47723 doesn't end, all of your numbers are rational.

Step-by-step explanation:

All numbers, quotients, integers, fractions, zero, and their counterparts are all rational numbers. Any number that doesn't end or any number that repeats over and over again forever is called an irrational number.

Hopefully I could help! :)

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