Item 7 Question 1
The volume of a rectangular prism is more than 140 cubic inches. The prism has a length of 7 inches and a width of 5 inches. Select an inequality that represents the height h (in inches) of the prism. Then graph the solution of the inequality.

7 × 5 × h > 140

35h ≥1 40

1/3 × 7 × 5× h ≥ 140

1/2 h(7+5)>140

v = (l)(w)(h)

(7)(5)(h) > 140

7 x 5 x h > 140

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

step-by-step explanation: