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
3+5=8
8^2 is 8×8 which equals 64.
The square of the sum of 3 and 5 equals 64.
Answer:
1
Step-by-step explanation:
You can't construct more than 1 triangle. If either of the angles shift, the triangle won't close. And a equilateral triangle must close to be considered, well, a triangle.
Answer:
<em>The integers are 39 and 40.</em>
Step-by-step explanation:
Let the smaller integer be x.
The next greater integer is x + 1.
Their sum is x + x + 1.
Their sum is 79, so
x + x + 1 = 79
Solve for x.
2x + 1 = 79
2x = 78
x = 39
x + 1 = 40