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Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
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<em>Additional comment</em>
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
The area of a slice from smallest area to largest area is given by:
- Pizza 1 (32π in²).
- Pizza 2 (32.7π in²).
- Pizza 3 (36π in²).
The area of a circle can be defined as the total space occupied or region enclosed by a circle within its boundary, and in a two-dimensional plane.
<h3>How to calculate the area of a circle?</h3>Mathematically, the area of a circle is calculated by using this formula:
Area = πr²
<u>Where:</u>
r is the radius of a circle.
For Pizza 1, we have:
Area = π × 16²
Area = π × 256
Area = 256π in².
Area of a slice = 256π/8
Area of a slice = 32π in².
For Pizza 2, we have:
Area = π × 14²
Area = π × 196
Area = 196π in².
Area of a slice = 196π/6
Area of a slice = 32.7π in².
For Pizza 3, we have:
Area = π × 12²
Area = π × 144
Area = 144π in².
Area of a slice = 144π/4
Area of a slice = 36π in².
In conclusion, we can infer and logically deduce that the area of a slice from smallest area to largest area is given by:
- Pizza 1 (32π in²).
- Pizza 2 (32.7π in²).
- Pizza 3 (36π in²).
Read more on circle here: brainly.com/question/14478195
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Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is
... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is
The sum of roots is .
Therefore the correct option is 1.