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What is the slope of the line with equation y = - 3x + 4
2 answers:
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Answer:
49°
Step-by-step explanation:
Given vectors:
a = [-8, 6]
B = [√7, 3]
θ = ?
To find the angle between the two vectors, we will be using the formula,
a.B = |a||B|cosθ
For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.B = (-8, 6) . (√7, 3)
= (-8 × √7) + (6 × 3)
= -8√7 + 18
= 18 - 8√7
= 10√7
Calculating the magnitude the vectors
1. The magnitude of vector (-8, 6)
2. The magnitude of vector (√7, 3)
Calculating the angle between the vectors,
cosθ =
cosθ =
cosθ = 0.6614
θ = cos⁻¹0.6614
θ = 48.59°
θ = 49°
Answer:
243.911, or rounding to the nearest unit, 244.
Step-by-step explanation:
For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.
Knowing this: