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.
Learn more about area of a shape here:
brainly.com/question/16501078
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Well the are six sides and numbers on the dices and two sides on the coin so there would be 8 outcomes
Answer: x2= 6
FYI: The x2 is x squared
Step-by-step explanation:
Simplifying
4x2 + 7 = 31
Reorder the terms:
7 + 4x2 = 31
Solving
7 + 4x2 = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 4x2 = 31 + -7
Combine like terms: 7 + -7 = 0
0 + 4x2 = 31 + -7
4x2 = 31 + -7
Combine like terms: 31 + -7 = 24
4x2 = 24
Divide each side by '4'.
x2 = 6
Simplifying
x2 = 6
So they tell you to let x represent the cost of Deandra's sofa. So since Selena's sofa costs 30 dollars LESS than HALF the cost of Deandra's, we know we have to divide by 2 and subtract 30.
The equation would be x/2-30. (B)
