Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
![\frac{sin(A)}{a} = \frac{sin(B)}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%20%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%20)
Plug in the values
![\frac{sin(37)}{47} = \frac{sin(B)}{59}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2837%29%7D%7B47%7D%20%3D%20%5Cfrac%7Bsin%28B%29%7D%7B59%7D%20)
Cross multiply
![47*sin(B) = sin(37)*59](https://tex.z-dn.net/?f=%2047%2Asin%28B%29%20%3D%20sin%2837%29%2A59%20)
Divide both sides by 47
![\frac{47*sin(B)}{47} = \frac{sin(37)*59}{47}](https://tex.z-dn.net/?f=%20%5Cfrac%7B47%2Asin%28B%29%7D%7B47%7D%20%3D%20%5Cfrac%7Bsin%2837%29%2A59%7D%7B47%7D%20)
![sin(B) = 0.7555](https://tex.z-dn.net/?f=%20sin%28B%29%20%3D%200.7555%20)
![B = sin^{-1}(0.7555)](https://tex.z-dn.net/?f=%20B%20%3D%20sin%5E%7B-1%7D%280.7555%29%20)
![B = sin^{-1}(0.7555)](https://tex.z-dn.net/?f=%20B%20%3D%20sin%5E%7B-1%7D%280.7555%29%20)
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
![\frac{sin(B)}{b} = \frac{sin(C)}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%20%3D%20%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20)
Plug in the values
![\frac{sin(49.1)}{59} = \frac{sin(93.9)}{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2849.1%29%7D%7B59%7D%20%3D%20%5Cfrac%7Bsin%2893.9%29%7D%7Bc%7D%20)
Cross multiply
![c*sin(49.1) = sin(93.9)*59](https://tex.z-dn.net/?f=%20c%2Asin%2849.1%29%20%3D%20sin%2893.9%29%2A59%20)
Divide both sides by sin(49.1)
![c = \frac{sin(93.9)*59}{sin(49.1)}](https://tex.z-dn.net/?f=%20c%20%3D%20%5Cfrac%7Bsin%2893.9%29%2A59%7D%7Bsin%2849.1%29%7D%20)
c = 77.8766982
c ≈ 77.9 (nearest tenth)
Where is the question so i can help you
Answer: Value of x = 27
Explanation:
Percy is plotting a coordinate on the graph.
Now the ratio of y-value to x-value is 2 to 3 for each point.
Suppose Value of is 3a and y value is 2a
So, the coordinate of the point is (3a,2a)
Now we find the x value of the coordinate when value of y is 18.
2a is same as 18
2a = 18
a = ![\frac{18}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18%7D%7B2%7D%20%20)
a = 9.
Now find the x ordinate
put the value of a=9 into 3a
3a = 3(9) = 27
So the final answer is :
Value of x = 27 when value of y = 18
Answer:
63
Step-by-step explanation:
Answer:
C
Step-by-step explanation: