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
Hi the picture has the answer and work, if you have any questions feel free to ask!!
Answer: Each age is 12 more than the last so the rate of change would be twelve. Yes it is linear, every twelve pounds is 2.5 more millimeters of dosage.
<span>1.) she gave 10 out of the 25 away so written as a fraction would be 10/25. then you dived 10 by 25 and you get .4 after you get the decimal, move the decimal point to the left two places and the answer is 40%.
So the answer is 40%. </span>
Answer:
The simplified product, in standard form, has exactly 2 negative terms. The simplified product has 2 terms.
Step-by-step explanation:
(b-2c)(-3b+c)
distribute and you will get
-3b^2+bc+6bc-2c^2
combine like terms
-3b^2+7bc-2c^2
