U = 9i – 6j
v = 7i + 4j
A) 63.43°
C) 173.66°
B) 109.48°
D) 101.31°

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  A)  63.43°

Step-by-step explanation:

The two vectors in polar form are ...

  u = (√(9²+6²))∠arctan(-6/9) = √117∠-33.69°

  v = (√(7²+4²))∠arctan(4/7) = √65∠29.74°

The angle between the two vectors is ...

  29.74° -(-33.69°) = 63.49°

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.