Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
![\frac{v}{sin(V)} = \frac{w}{sin(W)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7Bsin%28V%29%7D%20%3D%20%5Cfrac%7Bw%7D%7Bsin%28W%29%7D%20)
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
![\frac{v}{sin(21)} = \frac{19}{sin(137)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7Bsin%2821%29%7D%20%3D%20%5Cfrac%7B19%7D%7Bsin%28137%29%7D%20)
Multiply both sides by sin(21)
![\frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7Bsin%2821%29%7D%2Asin%2821%29%20%3D%20%5Cfrac%7B19%7D%7Bsin%28137%29%7D%2Asin%2821%29%20)
![v = \frac{19*sin(21)}{sin(137)}](https://tex.z-dn.net/?f=%20v%20%3D%20%5Cfrac%7B19%2Asin%2821%29%7D%7Bsin%28137%29%7D%20)
(approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)
Answer:
c.
Step-by-step explanation:
On Monday he reads 2 pages, on Tuesday he reads 6 pages (triple of 2: 2 + 2 + 2 = 6), on Wednesday he reads 18 pages (triple of 6: 6 + 6+ 6 = 18), on Thursday he reads 54 pages (triple of 18: 18 + 18 + 18 = 54).
Answer:
Point Form: (-4,5)
Equation Form: x=-4,y=5
Step-by-step explanation:
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