An investor just purchased a rectangular 2-acre retail lot for $250 a frontage foot. if she paid $100,000 total, what was the depth of the lot?
a. 400’ b. 250 c. 871’ d. 218’

So for this case the best answer would be:

d. 218’

Step-by-step explanation:

Previous concepts

Foot front : "Is a foot measured along the front of a piece of property".

Solution to the problem

For this case we need to begin finding the number of frontage feet, with the following formula:

And for this case if we replace the values given we got:

Now we need to convert the area to square feet. And we know that:

And converting we got:

Now we can divide the total area by the total of frontage feer and we got:

So for this case the best answer would be:

d. 218’

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

huh? im pretty sure it is in 199

step-by-step explanation: