Find 3 ratios that are equivalent to the given ratio.
15 to 20

1) 3:4

2) 30:40

3) 45:80

Explanation:

15:20 Can simplify by 5 so

15 ÷ 5 = 3 20 ÷ 5 = 4 so overall its 3:4

Thus, 3/4 is the simplified fraction for 15/20 by using the GCD or HCF method. Thus, 3/4 is the simplified fraction for 15/20 by using the prime factorization method.

15:20 Can multiply by 2 so

15 × 2 = 30 20 × 2 = 40 so overall its 30:40

Check if its correct

30 ÷ 2 = 15 40 ÷ 2 = 20 so overall its 15:20

15:20 Can multiply by 3 so

15 × 3 = 45 20 × 3 = 80 so overall its 45:80

Check if its correct

45 ÷ 3 = 15 80 ÷ 3 = 20 so overall its 15:20

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