Answer:
slope = (x1-x2)/(y1-y2)
so take any 2 points , for example:
(0,1) and (2,2) (order doesn't matter)
(0-2)/(1-2) = -2/-1 = 2 (gradient/slope)
Answer: -120085
Step-by-step explanation:
The answer is 40. I hope that helps :)
Answer:
Completely Randomized Design
Step-by-step explanation:
In a completely randomized design, the samples are randomly assigned to the treatment without creating any blocks or groups.
Like here, in the given scenario, we do not have to divide subjects in two groups as they are all same.
Whereas, in a randomized block design, the participants are divided into subgroups in a way, that the variability within the blocks is less than the variability between blocks.
After dividing, the participants within each block are randomly assigned to treatment conditions.
Hence, the completely randomized design is used here.
Given:
![\tan 8\theta =\cot 7\theta](https://tex.z-dn.net/?f=%5Ctan%208%5Ctheta%20%3D%5Ccot%207%5Ctheta)
To find:
The value of
.
Solution:
We have,
![\tan 8\theta =\cot 7\theta](https://tex.z-dn.net/?f=%5Ctan%208%5Ctheta%20%3D%5Ccot%207%5Ctheta)
We know that,
.
Using the trigonometric property, we get
![\tan 8\theta =\tan (90^\circ -7\theta)](https://tex.z-dn.net/?f=%5Ctan%208%5Ctheta%20%3D%5Ctan%20%2890%5E%5Ccirc%20-7%5Ctheta%29)
On comparing both sides, we get
![8\theta =90^\circ -7\theta](https://tex.z-dn.net/?f=8%5Ctheta%20%3D90%5E%5Ccirc%20-7%5Ctheta)
![8\theta +7\theta=90^\circ](https://tex.z-dn.net/?f=8%5Ctheta%20%2B7%5Ctheta%3D90%5E%5Ccirc%20)
![15\theta=90^\circ](https://tex.z-dn.net/?f=15%5Ctheta%3D90%5E%5Ccirc%20)
Divide both sides by 15.
![\theta=\dfrac{90^\circ}{15}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B90%5E%5Ccirc%7D%7B15%7D)
![\theta=6^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D6%5E%5Ccirc)
Therefore, the value of
is 6 degrees.