Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
![tan(B)=\frac{3}{4}](https://tex.z-dn.net/?f=tan%28B%29%3D%5Cfrac%7B3%7D%7B4%7D)
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
therefore
![tan(B)=tan(Y)](https://tex.z-dn.net/?f=tan%28B%29%3Dtan%28Y%29)
Answer:
Check the explanation
Step-by-step explanation:
Following table shows the calculations:
Delta, X Southwest , Y X^2 Y^2 XY
45.96 38.76 2112.3216 1502.3376 1781.4096
46.8 45.41 2190.24 2062.0681 2125.188
47.93 15.7 2297.2849 246.49 752.501
51.78 49.58 2681.1684 2458.1764 2567.2524
52.17 44.34 2721.7089 1966.0356 2313.2178
47.36 18 2242.9696 324 852.48
Total 292 211.79 14245.6934 8559.1077 10392.0488
Sample size: n =6
Now
![S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27](https://tex.z-dn.net/?f=S_%7Byy%7D%3D%5Csum%20y%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D1083.27)
![S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03](https://tex.z-dn.net/?f=S_%7Bxx%7D%3D%5Csum%20x%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D35.03)
![S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94](https://tex.z-dn.net/?f=S_%7Bxy%7D%3D%5Csum%20xy-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%7D%7Bn%7D%3D84.94)
The coefficient of correlation is :
![r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BS_%7Bxy%7D%7D%7B%5Csqrt%7BS_%7Bxx%7DS_%7Byy%7D%7D%7D%3D0.436)
Answer:
y=2
Step-by-step explanation:
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Answer:
x^4
Step-by-step explanation:
Step-by-step explanation:
For this Q, you should draw a triangle to help you with the values.
cos x =
![\frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
csc x =
![\frac{2}{ \sqrt{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B2%7D%20%7D%20)
tan x = sin x/ cos x
= 1
cot x = 1
sec x =
![\frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
x = 45 degrees