Find the length of the hypotenuse:
2 answers:
Method 1:
The sides of a right-angle triangle are equal when the angle = 45°
Method 2:
(Optional)
Using TOA CAH SOH method
Where:
TOA is Tan θ = Opposite/Adjasent
CAH is Cos θ = Adjasent/Hypotenuse
SOH is Sin θ = Opposite/Hypotenuse
You have an angle of 45° and OPPOSITE the angle is a known length.
These are the 2 information we know.
We need to find the third information, which is the HYPOTENUSE.
Notice the capatialised words start with the letter O ans H?
Find in the TOA CAH SOH the corresponding letters, in this case SOH.
SOH is sin θ = opposite/hypotenuse
Simply substitude in the values and find the hypotenuse!
sin 45° = (3√2)/ hypotenuse
hypotenuse = (3√2) / sin 45° = 6
Answer is B.
And there you go! Both methods can be used and gives the same answer.
However the limitations to method 2 are:
1. It must be a right-angle triangle
2. An angle and a side must be given.
If you think method 2 is too confusing, stick to method 1.
Good luck!
The sides of a right-angle triangle are equal when the angle = 45°
Method 2:
(Optional)
Using TOA CAH SOH method
Where:
TOA is Tan θ = Opposite/Adjasent
CAH is Cos θ = Adjasent/Hypotenuse
SOH is Sin θ = Opposite/Hypotenuse
You have an angle of 45° and OPPOSITE the angle is a known length.
These are the 2 information we know.
We need to find the third information, which is the HYPOTENUSE.
Notice the capatialised words start with the letter O ans H?
Find in the TOA CAH SOH the corresponding letters, in this case SOH.
SOH is sin θ = opposite/hypotenuse
Simply substitude in the values and find the hypotenuse!
sin 45° = (3√2)/ hypotenuse
hypotenuse = (3√2) / sin 45° = 6
Answer is B.
And there you go! Both methods can be used and gives the same answer.
However the limitations to method 2 are:
1. It must be a right-angle triangle
2. An angle and a side must be given.
If you think method 2 is too confusing, stick to method 1.
Good luck!
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Answer:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Step-by-step explanation:
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
And the model obtained for this case is:
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable