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
Answer:
x=y-4 is x=y-4
y=2+ 2x/2
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
6*5=30
100+30=130
20*6=120
120+10=130
130=130
The answer is <span><span>−<span>6<span>x2</span></span></span>+<span>7x</span></span>−<span>212</span>
Answer:
8x+8
Step-by-step explanation:
(f.g)(x)= (f)(g)
(f.g)(x)=(4.2)(x+1)
(f.g)(x)=(8)(x+1)
(f.g)(x) =8x+8