Answer:
m ∠ W is 58.2°
Step-by-step explanation:
Given:
XY = 15
WZ = 22
∠ XZY =25°
To Find:
m ∠ W = ?
Solution:
In right angle triangle Δ XZY, by Sine identity we have
![\sin Z= \frac{\textrm{side opposite to angle Z}}{Hypotenuse} \\\sin 25= \frac{XY}{XZ}\\0.4226=\frac{15}{XZ}\\\therefore XZ=\frac{15}{0.4226} \\XZ=35.49](https://tex.z-dn.net/?f=%5Csin%20Z%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20Z%7D%7D%7BHypotenuse%7D%20%5C%5C%5Csin%2025%3D%20%5Cfrac%7BXY%7D%7BXZ%7D%5C%5C0.4226%3D%5Cfrac%7B15%7D%7BXZ%7D%5C%5C%5Ctherefore%20XZ%3D%5Cfrac%7B15%7D%7B0.4226%7D%20%5C%5CXZ%3D35.49)
∴ XZ = 35.49
Now in right angle triangle Δ WZX, by tangent identity we have
![\tan W = \frac{\textrm{side opposite to angle Z}}{\textrm{side adjacent to angle Z}}\\\tan W = \frac{XZ}{WZ}\\\tan W = \frac{35.49}{22}\\\tan W = 1.6131\\\therefore W =\tan^{-1}(1.6131) \\W= 58.2\°](https://tex.z-dn.net/?f=%5Ctan%20W%20%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20Z%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20Z%7D%7D%5C%5C%5Ctan%20W%20%3D%20%5Cfrac%7BXZ%7D%7BWZ%7D%5C%5C%5Ctan%20W%20%3D%20%5Cfrac%7B35.49%7D%7B22%7D%5C%5C%5Ctan%20W%20%3D%201.6131%5C%5C%5Ctherefore%20W%20%3D%5Ctan%5E%7B-1%7D%281.6131%29%20%5C%5CW%3D%2058.2%5C%C2%B0)
∴m ∠W =58.2°
Answer:
-99
Step-by-step explanation:
x = 6*(-16)-3 = -99
7/21 simplify 1/3 33.3 repeated percent
It most likely will be the initial value when dealing with a cost/value problem. By convention the initial value is set at 0 time.
For example, an exponential function of interest on a savings account or depreciation of a car. (0 years, initial value) As time progresses the value changes.
If the graph is not of a cost/value problem then it could be something else entirely or if for example you were trying to back calculate the inital value of something and chose the present year as 0 time. Initial value being the y-intercept is more or less determined by how the problem is set up and bit is simplest to set it as so.
Answer:
its 25
Step-by-step explanation:
i did it already