The total length of a road trip was 19.6 hours. If highway signs are posted every 0.07 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?

280 highway signs

Step-by-step explanation:

The total length of a road trip was 19.6 hours

Highway signs are posted every 0.07 hours

To find: Number of highway signs

The number of highway signs = total length of a road trip/highway signs

Substituting the values we get,

number of highway signs = 19.6/0.07 = 280

Thus there are 280 highway signs

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

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step-by-step explanation: