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:
56%
Step-by-step explanation:
Reducing the picture by 80% and then by 70% gives a reduction of 56%
70% of 80 = 0.7 × 80 = 56%
For the first draw your probability is 3/14. Your second draw is 3/12.
Let me know if you have any other questions :)
Answer
22
Step-by-step explanation:
82-2=80-60=20+2=22
I think the correct answers from the choices listed above are the first and the fourth option. The statements that are true about a reflection would be that it is an isometry and the it flips a plane about a fixed line. <span>A </span>reflection<span> over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from line k.</span>
