Mr. Sammie has now decided to expand his food truck business. Based on the information in the chart below, what Region will be best to expand into? Why? HINT: Use the density formula

The southwest would be the best region to expand into.

Step-by-step explanation:

Step 1; Mr. Sammie has decided to expand his business. To determine which region is best suited for expansion there should be the least number of already existing trucks in that region.

Density = , here mass is the number of already existing trucks and the area is the area of the region.

Step 2; The densities of the different regions are calculated.

The density of Northwest = = 0.0291,

The density of Northeast = = 0.04217,

The density of Central = = 0.04121,

The density of Southwest = = 0.0444,

The density of Southeast = = 0.0251.

Step 3; If we reciprocate the density, we can calculate the number of miles each truck has to itself.

Northwest = = 34.3642,

Northeast = = 23.7135,

Central = = 24.2659,

Southwest = = 22.522,

Southeast = = 39.840.

So the Southwest region is the best to expand into as it is the least dense.

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: