Answer:
![y = 9.1](https://tex.z-dn.net/?f=%20y%20%3D%209.1%20)
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
![\frac{x}{sin(X)} = \frac{y}{sin(Y)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bsin%28X%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28Y%29%7D%20)
![\frac{8}{sin(58)} = \frac{y}{sin(106)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7Bsin%2858%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28106%29%7D%20)
![\frac{8}{0.848} = \frac{y}{0.961}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%20)
Multiply both sides by 0.961 to solve for y
![\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%2A0.961%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%2A0.961%20)
![\frac{8*0.961}{0.848} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%20%3D%20y%20)
![\frac{8*0.961}{0.848}*0.961 = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%2A0.961%20%3D%20y%20)
![9.07 = y](https://tex.z-dn.net/?f=%209.07%20%3D%20y%20)
(to the nearest tenth)
4(0.5n-3)=n-0.25(12-8n)
2n-12=n-3+2n
2n-12=3n-3
2n-3n=-3+12
-n=9
n = -9
Answer:
The answer I got from the equation was 254.47
Interest rate = 5.25%
<u>Step-by-step explanation:</u>
Simple Interest = Pnr = 4252.50
n = time = 54 months = 4.5 years
r = rate of interest = ?
P = 18,000
r = SI/Pn = 4252.50 / 18000× 4.5
= 0.0525 = 5.25%
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units