Answer:
2
Step-by-step explanation:
Answer:
To get the function <em>g</em>, shift <em>f </em>down by 8 units.
Step-by-step explanation:
The constant - 8 at the end of function g(x) suggests the parent function f(x) was translated 8 units down.
3/4 is already simplified<span> completely.</span>
Answer:
23.09 ft
Step-by-step explanation:
Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .
From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .
Now since we have base and perpendicular , we should use the ratio of tangent as ,

And here
= 60° . On substituting the respective values , we have ;

And the value of tan60° = √3 , so that ;

Cross multiply ,

The value of √3 is 1.732 approximately .

Simplify,

And we are done !