Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>
The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.
Answer:
59
Step-by-step explanation:
1 mile divided by 36 inches equals 1760 inches and if there are 30 inches in a step, we would divide 1760 by 30 and then the answer would be 58.6666666667 but if you don't need the decimal, we can take and round this to 59 and then we have our answer.
The correct answer is A) 0
I hope this helps.
Have a awesome day. :)
Answer:
12 sq units
Step-by-step explanation:
height = 3
length = 4
A = l · w
A = 12