Answer:
John is 21 and bill is 15
Step-by-step explanation:
The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
Congruent= the same shape and size.
area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²
Area of the rectangle before it is dividide=40 cm²
Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
Answer:
The answer is 3418.1 ft rounded to the nearest tenth.
Step-by-step explanation:
The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.
The area of the circular base can be calculated as

where r is the radius of the circular base, which is 8 ft.
The area of the circular base is

We also know the height of the cylinder is 17 ft.
Hence, the volume of the cylinder is

This will be rounded up to 3418.1 with the nearest tenth