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:
There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.
7g + 3g - 10 + 3 = 43
(first combine likes terms)
10g - 7 = 43
(then add 7 to both sides)
10g - 7 = 43
+7 +7
10g = 50
(then divide by 10 to get what g is equal to)
10g = 50
/10 /10
g = 5
Answer:
Ok im using a standered form calculator:
1. 9/7x + 1/7 = -8
2. y = -6/5x - 3 = -11
3. y = 1/3x - 2 = -10
Step-by-step explanation:
I will be glad to help more
Answer: y-32+4y
Step-by-step explanation:
y-32: the difference of y and 32. +4y : <u>plus the product of y and 4</u>