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:
12
Step-by-step explanation:
6(-1)+(-2)
-6(-2)
12
I might be wrong so please forgive me if I am.
Answer:
1.slope = 4/2x 2.slope= -5/4x 3.slope=7/5x
Step-by-step explanation:
Have a great night
Answer:
B=100
Step-by-step explanation:
A=100
C=100 (opposite angles are equal0
B=D= 100
complementary angles are 180 so
180-80=100
1. Mean.

2. <span>Standard deviation.
First we have to square each value and calculate the mean of that squares:

so the variance:

and the standard deviation:

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