The fraction of the image in blue with respect to the <em>entire</em> hexagon is
.
<h3>
Estimation of the ratio of the shaded region area to the entire area</h3>
Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:
(1)
Where:
- Area of a type-1 triangle.
- Area of a type-2 triangle.
The formulae for the area of the shaded region (
) and the <em>entire</em> hexagon (
) are, respectively:
<h3>Shaded region</h3>
(2)
<h3>Entire hexagon</h3>
(3)
And the fraction of the image in blue is:



The fraction of the image in blue with respect to the <em>entire</em> hexagon is
. 
To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236
Answer:
(-6, -2)
Step-by-step explanation:
When trying to find the solution to a system of equations on a graph, the solution is where the lines intersect.
The lines intersect at (-6, -2). This is the solution.
Answer:
Step-by-step explanation:
total price was reduced by $ 7
let x = the total price........ x - 7
he bought 10.....and it cost him $ 130
10(x - 7) = 130
10x - 70 = 130
10x = 130 + 70
10x = 200
x = 200/10
x = 20 <====== original price
Answer: y = 150 + 2.75x
Step-by-step explanation:
Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:
y = 150 + 2.75x
where,
x = number of square foot.