Which expressions are equivalent?
1 answer:
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Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.
Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.
Therefore, our variance is 225.
Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin = , so sin (?) =
this means that ? = or ? = arcsin(
), depending on what calculator you have
plugging in or arcsin(
) into calculator will get you
62.73° or 1.09 radians
use the corresponding answer depending on if the question asks for degrees or radians