Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
The given study is observational study
To gauge how strongly two variables are related to one another, correlation coefficients are used.
A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.
To know more about statistic indicator
brainly.com/question/15074438
#SPJ4
Answer:
![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = ![\frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7CAm%20%2BBn%2BC%7C%7D%7B%5Csqrt%7BA%5E2%2BB%5E2%7D%20%7D)
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = ![\frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7C6%286%29-1%282%29%2B3%7C%7D%7B%5Csqrt%7B6%5E2%2B%28-1%29%5E2%7D%20%7D)
= ![\frac{|36-2+3|}{\sqrt{36+1} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7C36-2%2B3%7C%7D%7B%5Csqrt%7B36%2B1%7D%20%7D)
=
Rationalise the denominator by multiplying numerator/ denominator by ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
=
×
=
← cancel 37 on numerator/ denominator
= ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
Answer:
madc'dsv wr;lja''vr3'fbfsh'tht'rth
Step-by-step explanation:
Answer:
![P=\frac{1}{8}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B8%7D)
Step-by-step explanation:
You're given your variables, you just need to put them in the correct spot. X is on top, and x =1, replace x with 1. Y is on the bottom and y=8, replace y with 8.
If I helped, a brainliest answer would be greatly appreciated!