Answer:
a) 0.54
Step-by-step explanation:
The correlation coefficient can be found by taking square root of R-squared value and the sign of correlation coefficient can be assessed by considering the sign of slope value. So,
r²=28.8%=28.8/100=0.288
r=
=
=0.5367
By rounding to two decimal places the correlation coefficient
r=0.54
We can see that slope=0.4845 has positive sign so, the correlation coefficient contains the positive sign.
Hence the correlation coefficient r=0.54.
Virtually every time you try this stunt, the new triangles
are NOT similar.
Example:
Triangle A₀ . . . legs = 3 and 4; hypotenuse = √25 = 5 .
Triangle B₀ . . . legs = 6 and 8; hypotenuse = √100 = 10 .
Ratio of short legs = 6/3 = 2
Ratio of long legs = 8/4 = 2
Ratio of hypotenuses = 10/5 = 2
The triangles are similar.
Add 1 unit to all legs:
Triangle A₁ . . . legs = 4 and 5; hypotenuse = √41
Triangle B₁ . . . legs = 7 and 9; hypotenuse = √130
Ratio of short legs = 7/4 = 1.75
Ratio of long legs = 9/5 = 1.8
Ratio of hypotenees = √(130/41) = 1.78 .
New triangles are NOT similar.
I think this ONLY works when the original triangles are
congruent, so the ratio of their similarity is 1:1.
When each leg of both triangles is extended by the same
amount, they are still congruent.
But the question stipulates that they are NOT congruent.
So the answer to the question is: No. Never.
Answer
true
Step-by-step explanation:
Divide the total earnings for the workweek, including earnings during overtime hours,
Answer:
14 inches
Step-by-step explanation:
Using this information, we can form an equation.
Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.
(This is the equation you'd want to do to get the answer)
3x + 3 * 6 = 60
Simplify:
3x + 18 = 60
Same to both sides
3x = 42
Isolate x:
x = 14
Let me know if you have any questions
