A farmer owns a field with an area of 0.037 km2. The farmer buys another field with an area of 9600 m2. What is the total area of the fields he now owns in km2?

0.0946km²

Step-by-step explanation

Area of the farmland owned = 0.037km²

Area of farm land bought = 9600m²

Convert m² to km²

1m² = 1e-6 km²

9600m² = 0.000001 * 9600

9600m² = 0.0576km²

Total area on km² = 0.037km²+0.0576km²

Total area on km²  = 0.0946km²

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