3.51 as a mixed number

3.51 as a mixed number is 3 its the simplest form

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

3.51=3.511

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 102 = 100

3.511×100100=351100

Simplify the improper fraction,

=351100

In conclusion,

3.51=351100

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 51 and 100.

or

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 51 is not greater than 100.

This fraction is in simplest form:

=51100

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