In a shop a the cost of 4 shirts and 4 pair of trousers and 2 hats is $660. the cost of 9 shirts and 9 pair of trousers and 6 hats is $1,399 what’s the cost of 1 shirts and 1 pair of trousers

$193.67

Step-by-step explanation:

Let x = shirts

Let y = trousers

Let z = hat

4x + 4y + 2z = 660

9x + 9y + 6z = 1399

Divide the second equation by 3.

3x + 3y + 2z = 466.33

Subtract both equations .

4x + 4y + 2z = 660

3x + 3y + 2z = 466.33

x  +  y = 193.67

So 1 shirt and 1 trouser will be $193.67

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