Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid =  
 
where  and
 and  are the parallel sides and h is the distance between these sides.
 are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = 
                                   = 69 m²
Area of the rectangle (2) = Length × Width
                                          = 12 × 15
                                          = 180 m²
Area of the trapezoid (3) = 
                                          = 121 m²
Now area of the wall = 69 + 180 + 121
                                    = 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = 
= 
= 14.8 
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
                                                        = £105 
 
        
             
        
        
        
They are all vertical angles.
 
        
             
        
        
        
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
        
             
        
        
        
Answer:
50
Step-by-step explanation:
because 3,650-3,500=150 and then 150/12=12.5x4=50
 
        
             
        
        
        
Answer:  Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Area of triangular base = 12 sq. inches
Height of a three dimensional object = 8 inches
We need to find the Volume of that object.
As we know that "Volume = Area of base × Height "
So, it becomes,

So, the volume of object is 96 cubic inches.
Hence, Option 'D' is correct.