Question 1. Stevie Wonder, Madonna, Rod Stewart and Dolly Parton have decided to entertain themselves by playing a game of MONOPOLY. Before rolling the dice, they decide to split the eight monopolies (purple, light blue, pink, orange, red, yellow, green, dark blue) among themselves by randomly spinning a spinner with their names on it. Distributions do not have to be even or fair.

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

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x