Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation:
False
Answer:
The sentence is True
Step-by-step explanation:
In Geometry, there is a theorem that relation the sine angle and the cosine angle. The theorem says: The sine of any acute angle is equal to the cosine of its complement.
So, let β represent an acute angle
sin (β)=cos(90-β)
Given β=30, let it replace in the formule:
sin (30)=cos(90-30)
sin (30)=cos(60)
Done.
b) 0
c) 0.5
d) 0.91
Explanation:
The closer r gets to +1 or -1, the stronger the linear relationship will be.
If r is really close to +1, then we have a strong positive linear relationship. If r is close to -1, then we have a strong negative linear relationship.
Of the four choices given, we see that r = -0.94 is the closest to either endpoint mentioned. The next closest is r = 0.91
Put another way, we're looking for the r value that is furthest way from 0, but also that makes the inequality true. Choice A fits that description best.
The value of -0.94 represents the strongest relationship between the two variables in a given linear regression model.
The value of a correlation coefficient ranges from -1 to 1. The closer the value is to -1 or 1, the stronger the relationship between the two variables in a linear regression model. Therefore, the value of "-0.94" represents the strongest relationship among the given options. A negative correlation coefficient indicates an inverse relationship, meaning that as one variable increases, the other variable decreases.
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