Please provide explanation

27

Step-by-step explanation:

3^2*(2^3+4)

2^2

Parentheses first

(2^3+4) = (8+4) = 12

Replace the parentheses

3^2*(12)

2^2

Then Exponents

9*(12)

4

Multiply

108

4

Divide

27

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

yes. we do proportions in probabilities.