By definition we have to:
Sin (x) = C.O / h
Where,
x = angle
C.O = opposite leg
h: hypotenuse.
Substituting values we have:
Sin (C) = AB / 82
We should look for AB. For this, we use the following relationship:
AB ^ 2 + 80 ^ 2 = 82 ^ 2
Clearing AB:
AB = root ((82 ^ 2) - (80 ^ 2))
AB = 18
Substituting we have:
Sin (C) = 18/82
Simplifying:
Sin (C) = 9/41
Answer:
the trigonometric ratio for sin C is:
Sin (C) = 9/41
Answer:
Inverse of f exists.
Step-by-step explanation:
From the graph attached,
If we do the horizontal line test for the function graphed,
We find the function as one to one function.
In other words for every input value (x-value) there is a different output value.
Since, for one-to-one functions, inverse of the functions exist.
Therefore, the answer will be,
The inverse of 'f' exists.
Answer:
x=1
Step-by-step explanation:
To find the value of x, we have to move all the real numbers to the other side.
5/6x = 20/24
We have divide each side by 5/6. Once we do that, we get—
x = 4/4
x = 1
Since both is equal to p(a), you can set them as equal to each other:
15 = 2a - 3
18 = 2a
9 = a
Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4
is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2
is less than 0
Therefore the correct option is B