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
10/24 x 100 = 41.66
Approximately 42% of her day
Answer:
x ≤ 3
Step-by-step explanation:
11
x
−
20
≤
13
Step 1: Add 20 to both sides.
11
x
−
20
+
20
≤
13
+
20
11
x
≤
33
Step 2: Divide both sides by 11.
11
x
11
≤
33
11
Yes because 0 and 4 dont equal 10 and 20 and 40 dont equal 100. So no and 40 + 23 = 63.
Answer:
y=1/2×+4
Step-by-step explanation:
i think that the answer