Find the value of m and n, if 6*12^m=9^4*2^n

3*2*3^m*4^m=3^8*2^n

3^m+1*2^2m+1=3^8*2^n

m+1=8

m=7

2m+1=n

n=15

Step-by-step explanation:

step-by-step explanation:

10.50 + taxes which added up to 11.50

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