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°.
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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°.
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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°.
Step-by-step explanation:
hey nidha the answer of ur question
Answer:
D: 5 : 8 and 20 : 32
Step-by-step explanation:
A is incorrect because 3 x 1.33 = 4 and 4 x 1.25 = 5.
B is incorrect because 10 x 1.6 = 16 and 12 x 1.5 = 18.
C is incorrect because 7 x 1.428 = 10 and 10 x 1.4 = 14.
D is correct because 5 x 4 = 20 and 8 x 4 = 32.
another way of solving the ratio answers is by putting them in a fraction 5/8 = .625 and also does 20/32 = .625.....
Easy right!?
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Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.
Use the Law of Sines to find the value of a, as follows:
sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883
a =
Could I see a picture cause not sure