Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square.
- Area of second shaded region = Area of the square - Area of equilateral triangle
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
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The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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Answer: x = 6
explaination:
ac= 2ao
ao=3 so ac= 2(3) which is six
so 5x-24=6
x=6
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
<h3>Area of Rectangle</h3>
The area of a rectangle is given as the product between the length and it's width.
Data;
- Length = 9in
- Area = 45in^2
- width = ?
- length 2 = 4in
- width 2 = 3in
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
From the above calculations, we can see that the sheets are not similar as they have different areas.
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Answer:
the coefficient is 1
Step-by-step explanation:
