In a video game an object represented by the point (2,7) is rotated counterclockwise 175 degrees around an origin. What are the new coordinates that represent the point?

  (-2.60, -6.80)

Step-by-step explanation:

The new coordinates can be found by multiplying by the rotation matrix:

That is, ...

  x' = x·cos(175°) -y·sin(175°) = 2(-0.9962) -7(0.0872) = -2.60

  y' = x·sin(175°) +y·cos(175°) = 2(0.0872) +7(-0.9962) = -6.80

The new coordinates are ...

  (x', y') = (-2.60, -6.80)

The correct answer is:

D) his impulse buying

Explanation:

Since the creamer is in the far left corner of the store, this means Todd has to walk by more items than if the creamer were in the front of the store.  This increases the chance he will buy something else.

Since the woman on the package reminds Todd of his grandmother, this makes him more likely to buy the cookies.

Since the display of cookies is on the route Todd must take to get to the creamer, this also increases his chances of buying the cookies.