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,
Here, every term is -2 times than it's previous term. so,
5th term = 8 * -2 = -16
So, -16 is your answer.
Hope it helped.
Answer:
1 mile = 8.5 minutes
Step-by-step explanation:
<u>Determining the equation:</u>
Kira ran 8 1/5 miles in 69 7/10 minutes.
⇒ Kira = 8 1/5 miles = 69 7/10 minutes
⇒ 41/5 miles = 697/10 minutes
<u>Simplifying both sides:</u>
⇒ 41/5 miles = 697/10 minutes
⇒ 41 miles = 697/2 minutes
<u>Using cross multiplication:</u>
⇒ 41 × 2 miles = 697 minutes
⇒ 82 miles = 697 minutes
<u>Dividing 82 both sides:</u>
⇒ 82 miles = 697 minutes
⇒ 82/82 miles = 697/82 minutes
⇒ 1 mile = 8.5 minutes
Answer:
$1080
Step-by-step explanation:
Working at the same rate for 8 weeks means you would either have to add 135 eight times, or do 135 x 8.