9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold
Answer:
You have to finish the question lol
Step-by-step explanation:
Answer:
Step-by-step explanation:
Circumference of circle = 7π cm
θ = 2π × 5.5/(7π) = 11/7 radians
Answer:
positive
Step-by-step explanation:
The equation of a line modeling the price of a car over the years from its initial purchase is to be a line with negative slope "m" due to the fact that the price of the car drops with the years, but for sure the price at the time of purchase (which is the zero in the horizontal x-axis) should be the largest value the car would have (the purchase price) This is actually the y-intercept "b", clearly a positive number.
