Answer:
5*3=k, k=15
Step-by-step explanation:
y=k/x is the inverse variation equation
5=k/3
k=15
Answer:
$8 per hour
Step-by-step explanation:
hope i was able to help , take care be safe and have a good day
First we have to find the missing angle. And we know that sum of the measurement of angles of a triangle is 180.
So we will get
![C = 180-30-45 = 105 degree](https://tex.z-dn.net/?f=C%20%3D%20180-30-45%20%3D%20105%20degree)
Now we use sine law, which is
![\frac{sin \ A}{BC} = \frac{sin \ B }{AC}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20%5C%20A%7D%7BBC%7D%20%3D%20%5Cfrac%7Bsin%20%5C%20B%20%7D%7BAC%7D)
Substituting the values, we will get
![\frac{sin 30}{BC} = \frac{sin 45}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%2030%7D%7BBC%7D%20%3D%20%5Cfrac%7Bsin%2045%7D%7B12%7D)
![BC = \frac{12 sin 30}{sin 45} = 6 \sqrt2](https://tex.z-dn.net/?f=BC%20%3D%20%5Cfrac%7B12%20sin%2030%7D%7Bsin%2045%7D%20%3D%206%20%5Csqrt2)
The formula of area of triangle, for the given triangle is
![Area= \frac{1}{2}AC*BC sinC](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7DAC%2ABC%20sinC)
![Area = \frac{1}{2}*12*6 \sqrt 2 sin(105)= 49.2 \ square \ units](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A12%2A6%20%5Csqrt%202%20sin%28105%29%3D%2049.2%20%5C%20square%20%5C%20units)
Answer:
798
Step-by-step explanation:
first you do 40x20=800 then 800-6=794 then 794+4=798