Answer:
125000 square feet
Step-by-step explanation:
Since there are only three sides of the rectangle, the perimeter of the fence is:
Let x and y be the sides of the rectangle, we are left with:
2 * x + y = 1000
solving for and:
y = 1000 - 2 * x
The area of the corral is:
A = x * y
replacing
A = x * (1000 - 2*x)
A = 1000 * x - 2*x^2
to find the maximum for the parabolic function A = 1000 * x - 2*x^2
The function has a maximum since the quotient before x ^ 2 is negative: -2 <0
Amax = c - b^2 /4*a
where a = -2, b = 1000, c = 0
A max = 0 - 1000^2/(4 * (- 2))
A max = 125000 ft^2
The maximum possible area of the pen is 125000 square feet.
Circumference = 2Pi(r) = 6Pi = 18.85
Comparing the arc length to the entire circumference is
8:18.85 = .4344
Then comparing the central to 360 degrees in a circle is
Angle:360 = 8:18.85
Angle = 152.8 degrees
Answer:
a) Right, Has 1 Right Angle
b) Acute, All Angles Are Less Than 90
c) Obtuse, Has One Angle Larger Than 90
Step-by-step explanation:
The product of 180 and 5.7 x 10^2 is 1.026 x 10^5 (in scientific notation)
hope this helps!
