What is the area of a trapezoid with height of 7cm and bases 12 clans 15 cm

A =94.5 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 (12+15) * 7

A = 1/2 (27) *7

A =94.5 cm^2

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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