Lesson 16
1 answer:
Answer:
546 ft³
Step-by-step explanation:
In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.
Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²
Area of the rectangle: 1.5*11 = 16.5 ft²
Total area: 120 + 16.5 = 136.5 ft²
Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³
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<u>Answer: </u>
Simplified form of given expression (2x – 9 )( x + 6 ) is
<u> Solution: </u>
We need to simplify following expression.
(2x – 9) ( x + 6)
For sake of simplicity lets first assume 2x – 9 = A
So expression becomes A(x+6)
= Ax + A6
Now replace A by 2x – 9
= (2x – 9 ) x + (2x – 9 ) 6
On simplification, we get
Hence simplified form of given expression (2x – 9 )( x + 6 ) is