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:
I can get you jump started a bit.
Step-by-step explanation:
So Each of those pairs of figures are Similar.
This means they have equal angle measures but different side lengths.
To find it, we have to make a <u>Proportion:</u>
<u>Example: #11</u>
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So let's solve the first one!
Easy As Pie!
If you need more help, contact me! :)
Hope this Helps!
P.S. Stay Safe!
Answer:
9+ (nine or older)
Step-by-step explanation:
A mean is an arithmetic average of a set of observations. The amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.
<h3>What is Mean?</h3>
A mean is an arithmetic average of a set of observations. it is given by the formula,
As it is given that Jack makes $12 on Monday, $14 on Tuesday, $18 on Wednesday, $16 on Thursday, $26 on Friday and $22 on Saturday. And we need to know how much he should earn on Sunday, so the average is $19. Therefore, we can write,
Hence, the amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.
Learn more about Mean:
brainly.com/question/16967035
The answer to this problem is 1/6.
