Write the smallest possible length. length: 9.15 (to 2 decimal places)

The smallest possible length of 9.15 rounded to 2 decimal places is 9.145

Step-by-step explanation:

When you round a number to 2 decimal places you round the 3rd decimal place to the nearest integer, then numbers 9.140, 9.141,  9.142, 9.143 and 9.144 are rounded to 9.14, and numbers 9.145, 9.146, 9.147, 9.148 and  9.149 are rounded to 9.15.

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