Answer:
Step-by-step explanation:
Square
The side length of the square = 8 cm
The area of the square = s^2
The area of the square = 8^2 = 64
Circle
r = d/2
r = 8/2
r = 4
Area of the circle = pi r^2
Area of the circle = 3.14 * 16
Area of the circle = 50.24
Shaded Area
Area of the Shaded area = area Square - Area Circle
= 64 - 40.24
= 23.76
ANSWER
See attachment
EXPLANATION
The given inequality is
![|x| \: > \: \frac{3}{2}](https://tex.z-dn.net/?f=%20%7Cx%7C%20%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20)
This implies that,
![x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}](https://tex.z-dn.net/?f=%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20%5C%3A%20or%20%5C%3A%20-%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20)
Multiply both sides of the second inequality by -1 and reverse the inequality sign.
![x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}](https://tex.z-dn.net/?f=%20x%5C%3A%20%3E%20%5C%3A%20%5Cfrac%7B3%7D%7B2%7D%20%5C%3A%20or%20%5C%3A%20x%5C%3A%20%3C%20%5C%3A%20-%20%5Cfrac%7B3%7D%7B2%7D%20)
The graphical solution to this inequality is shown in the attachment.
Just count, its really simple...its hard to explain using a keyboard tho...sorry i wasnt much help
D = 14
1/6d + 2/3 = 1/4d - 1/2
2d + 4*2 = 3d - 6
2d - 3d = -6-8
-d = -14
d = 14