Answer:
Area of the shaded region = 6.88 cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
Length of the rectangle = AD = 8 cm
Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]
Area of the rectangle = 8 × 4 = 32 cm²
Area of the semicircle = 
                                      = 
                                      = 
                                      = 25.12 cm²
Area of the shaded region = 32 - 25.12 
                                               = 6.88 cm²
 
        
             
        
        
        
Answer:
462 
Step-by-step explanation:
Rectangular Prism:  7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
 
        
             
        
        
        
Consider a right triangle in which one of the angles  satisfies
 satisfies

That is, the side opposite  occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to
 occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to  then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,
 then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,

because

Then in this triangle,

 
        
             
        
        
        
Answer: x= 10 
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10