Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=80/x(do cross multiplication)
80*2=x
160=x
Step-by-step explanation:
We need to show whether
or
so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).
we can also write it as:
now all we have to do is to make x the subject of the equation.
now we'll interchange the variables
this is the inverse of f(x)
and it does equal to g(x)
Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
Answer:
The number of students bringing lunch from home are 99 students
Step-by-step explanation:
1/5 = .2
.2*495=99
Answer:
30
Step-by-step explanation:
let number of questions in the test be x
9 of the first 10 questions are correct
so only x-10 questions remain
3/10 of the (x-10) = 3/10(x-10) questions are correct
scored 50% for the whole test
so only half of x = x/2 questions are correct
combining the above:
9+3/10(x-10) = x/2
9+3/10x-3=x/2
9-3=(1/2-3/10)x
1/5x=6
x=30
Answer:
5 times 12 = 12 times 5
Step-by-step explanation:
You flipped the factors since they were the same. 5 times 12 = 60 when you flip the factors 12 times 5 = 60
