<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
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Britney ran 13,760 feet in total during practice.
Answer:
Lateral: 560
Surface Area: 
Step-by-step explanation:
Well, we know that the lateral area is just the surface area subtracted by the hexagon base of the figure. Thus, if we (1) find the area of one of the triangular faces and multiply by 6, we get the lateral area. And then, if we (2) add the area of the hexagonal base, we get the surface area.
Let's do (1) first to get the lateral area
They mention that the base of one of the triangular faces is 8 and its height (which is the slant height) is 20. So the area is simply 20 * 8/2 = 80
Then, we multiply by 6 because there are 6 of these triangles and get 560
So the lateral area is 560
Let's do (2) next to find the surface area
If we add the area of the hexagonal base to 560, we obtain the surface area
The hexagon is a regular hexagon with a length of 8. Now, the area of a hexagon 
where 
is the side. We can obtain this formula if we separate the hexagon into 6 equilateral triangles.
Plugging in 8 for we get 
So the surface area is
Answer:
66
Step-by-step explanation:
Find the area of the rectangle, then add up the area of the triangle.
The area of the rectangle
= 5 × 12
= 60 cm²
The <u>base</u> of the triangle
= 12 - 9
= 3 cm
The <u>height</u> of the triangle
= 9 - 5
= 4 cm
The area of the triangle
= (3 × 4) ÷ 2
= 6 cm²
The total area of the figure
= 60 + 6
= <u>66 cm²</u>
Tasha wants to spend a total of 8+5 = 13 minutes playing. If she has only 12 minutes, she does not have enough time. (13 is more than 12)
