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
The correct answer is x = -90.
To find this, solve using the order of operations. See the example below.
x/-3 - 41 = -11 ----> Add 41 to both sides
x/-3 = 30 ----> Multiply each side by -3
x = -90
Answer:
Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.
What is Jennifer height in inches
A: 40in
B : 44in
C: 64.5in
D 58.5in
The answer is 44in(B)
Step-by-step explanation:
Hope this helps :D
Step-by-step explanation:
the leading coefficient means the coefficient (factor) of the term with the highest exponent of the variable (typically x).
with sufficiently large values of this variable (x - going far enough to the right) this term will "win" in value against any other term of the polynomial expression.
and therefore the sign of its factor (coefficient) will determine, if the curve will go up or down.
a positive factor (coefficient) will make the value of this term and therefore of the whole polynomial larger and larger, making the curve going up to +infinity.
a negative factor (coefficient) will make the value of this term and therefore of the whole polynomial smaller and smaller (more negative and more negative), making the curve going down to -infinity.
The answer would be C, 15
