Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4 What errors did Esmerelda make?

Esmeralda did not use the reciprocal of the divisor

Step-by-step explanation:

Three-halves = 3/2

Correct calculation

-5 1/4 ÷ 3/2

= -21/4 ÷ 3/2

= - (21/4) × 2/3

= -7 / 2

Esmeralda's calculation

-5 1/4 ÷ 3/2

= -21/4 ÷ 3/2

= (-21/4)(3/2)

= -63 / 8

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