Answer:
GH = 7
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
=
=
=
( cross- multiply )
GH = 7
Answer:
We can see that it is an isosceles triangle so base angles are equal.
Step-by-step explanation:
x + x + 56 = 180
2x = 180 - 56
2x = 124
x = 124/2
Therefore x = 62.
If the function is continuous on (a,c), it has a maximum at b. if it is not continuous, nothing can be said.
Answer:
Cosy° = 
Step-by-step explanation:
From the picture attached,
By applying all trigonometric ratios in the given right triangle,
Siny° =
= 
tany° =
= 
Therefore, Cosy° = 
Cosy° = 
Therefore, Cosy° =
will be the answer.
Answer:
A) 
B) 
C) 
Step-by-step explanation:
So we have the equation:

Let's write this in function notation. Thus:

A)
To flip a function over the x-axis, multiply the function by -1. Thus:

Simplify:

B) To flip a function over the y-axis, change the variable x to -x. Thus:

Simplify:

C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):

Switch:

Subtract 4 from both sides:

Divide both sides by 5:

And we're done :)