ANSWER
![x = 50.5 \degree](https://tex.z-dn.net/?f=x%20%3D%2050.5%20%5Cdegree)
EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,
![\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%28A%29%20%7D%7Ba%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28B%29%20%7D%7Bb%7D%20%20%3D%20%5Cfrac%7B%20%5Csin%28C%29%20%7D%7Bc%7D%20)
From the triangle,
![\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csin%28x%29%20%7D%7B60%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csin%2840%29%20%7D%7B50%7D%20)
We multiply both sides of the equation by 60 to get,
![sin(x) = \frac{ 60\sin(40 \degree) }{50}](https://tex.z-dn.net/?f=%20sin%28x%29%20%20%3D%20%20%5Cfrac%7B%2060%5Csin%2840%20%5Cdegree%29%20%7D%7B50%7D%20)
![sin(x) = 0.7713](https://tex.z-dn.net/?f=%20sin%28x%29%20%20%3D%200.7713)
We solve for x to obtain,
![x = arcsin(0.7713)](https://tex.z-dn.net/?f=%20x%20%3D%20arcsin%280.7713%29)
![x = 50.475](https://tex.z-dn.net/?f=%20x%20%3D%2050.475)
To the nearest tenth, we round to one decimal place to get,
Answer:
(-2, -4)
Step-by-step explanation: because its going backwards it should be a negative slope :)
I'm sorry if I'm wrong but i hope this helps :)
Answer:
distance from Houston to Galveston in kilometers will be: 80km
Step-by-step explanation:
Given
The distance from Houston to Galveston is about 50 miles.
i.e.
Kilometers in 1 Mile = 1.6 km
As the distance from Houston to Galveston is about 50 miles, so
The distance from Houston to Galveston in kilometers will be:
50(1.6) = 80 ∵ Kilometers in 1 Mile = 1.6 km
Therefore,
The distance from Houston to Galveston in kilometers will be: 80km
Answer:
The answer is c.
Step-by-step explanation:
I took the quiz
Vote me brainliest plz!!!
Answer:
- 71 in House of Representatives
- 17 in Senate
Step-by-step explanation:
Let h and s represent the numbers in the House and Senate, respectively. Then we have ...
h + s = 88
h - s = 54
Subtracting the second equation from the first gives ...
(h +s) -(h -s) = (88) -(54)
2s = 34 . . . . . simplify
s = 17 . . . . . . . divide by 2
h = 88 -17 = 71 . . . . find the other value using the sum equation
There were 71 females in the House of Representatives, and 17 females in the Senate.