Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
<u>1) Find the perimeter</u>
where l is the side length
Plug in the side length 7.6 cm

Therefore, the perimeter of the pentagon is 38 cm.
<u>2) Find the area</u>
Plug in the perimeter (38) and the apothem (5.2)

Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
The value of f(-6) is -12.2
Explanation:
Given that the function 
We need to determine the value of f(-6)
The value of f(-6) can be determined by substituting the value for
in the function and simplify the function.
Hence, let us substitute
in the function, we get,

Let us apply the rule
, we get,

Multiplying the numbers, we get,

The value of 
Substituting the value of
, we get,

Subtracting the denominator, we have,

Dividing, we have,

Rounding off to the nearest tenth, we have,

Thus, the value of f(-6) is -12.2
Y = -0.4x
1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °
With all that information you can identify the graph, given that you didn't include the options.
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:
p ... profit
g ... glasses of lemonade
f(g) = p = g * $1 - $50
The correct result would be f(g)<span> = g * $1 - $50.</span>