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°
Step-by-step explanation:
Given p = 4,
substitute p= 4 into the expression
6p+4/7+5p-6/2-3p/4

The answer is 2 for 5.80 is cheaper for buying 30 t-shirts.
Answer:
Option B
Step-by-step explanation:
Given that cosθ = 
Since, θ is an angle in quadrant II therefore, cosine value is negative
Now we will find the tangent ratio from the given triangle.
tanθ = 
From the given triangle,
By applying Pythagoras theorem in the given right triangle,
AC² = AB² + BC²
AB² = 10² - 3²
= 100 - 9
= 91
AB = √91
tanθ = 
Now, tanθ = 
Since, θ is in second quadrant therefore, tangent of the angle will be negative.
tanθ = 
Option B is the answer.