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
are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = ![\frac{1}{2}(11+12)\times 6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2811%2B12%29%5Ctimes%206)
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = ![\frac{1}{2}(12+10)\times 11](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2812%2B10%29%5Ctimes%2011)
= 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 = ![\frac{\text{Total area}}{\text{Area covered by one tin}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20area%7D%7D%7B%5Ctext%7BArea%20covered%20by%20one%20tin%7D%7D)
= ![\frac{370}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B370%7D%7B25%7D)
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105
Answer:
6
Step-by-step explanation:
1/6 of 36=6
2/3 of 36= 24
24+6=30
36-30=6
Answer:
![p= \frac{-8}{33}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7B-8%7D%7B33%7D)
Explanation:
Given:
![3p (3p - 8) - 8 = 9p ( p - 3 + 4)](https://tex.z-dn.net/?f=3p%20%283p%20-%208%29%20-%208%20%3D%209p%20%28%20p%20-%203%20%2B%204%29)
To Find:
Value of p=?
Solution:
Before solving this equation, we will use the method of BODMAS which states that we first solve the Bracket then Off then Division then Multiplier then addition and at last subtraction.
Now we will solve the both right and left hand side of the equation
![3p (3p - 8) - 8 = 9p ( p - 3 + 4)](https://tex.z-dn.net/?f=3p%20%283p%20-%208%29%20-%208%20%3D%209p%20%28%20p%20-%203%20%2B%204%29)
![9p^2-24p-8=9p^2+9p](https://tex.z-dn.net/?f=9p%5E2-24p-8%3D9p%5E2%2B9p)
Gruoping the like terms we get,
![9p^2-9p^2-24p-9p=8](https://tex.z-dn.net/?f=9p%5E2-9p%5E2-24p-9p%3D8)
After solving the both right hand and left hand side of the equation
![-33p=8](https://tex.z-dn.net/?f=-33p%3D8)
And we get the value of p as
![p= \frac{-8}{33}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7B-8%7D%7B33%7D)
Answer:
Im not sure but i did 5x9=45
Step-by-step explanation: