Answer:
- Area of the circle is 56.25π square feet.
Step-by-step explanation:
<u>Given that</u>:
- The circumference of a circle is 15π ft.
<u>To Find</u>:
- What is the area, in square feet?
<u>We know that</u>:
- Circumference of a circle = 2πR
- Area of a circle = πR²
Where,
<u>Finding the radius of the circle</u>:
Circumference of a circle = 15π
⟶ 2πR = 15π
⟶ 2πR = 2π × 7.5
Cancelling 2π.
⟶ R = 7.5
∴ Radius of the circle = 7.5 ft.
<u>Finding the area of the circle</u>:
⟶ Area = πR²
⟶ Area = π(7.5)²
⟶ Area = π × 7.5 × 7.5
⟶ Area = π × 56.25
⟶ Area = 56.25π
∴ Area of the circle = 56.25π ft.²
Answer:
a
two triangles with dimensions of 1 ft by 3 ft and a rectangle with dimensions of 4 ft by 3 ft
Answer:
rate
Step-by-step explanation:
8 + 5 = 13
10 + 3 = 13
i think thats what you asking right
Answer:
There are in total 3 maximum and minimum points of f(x)
Step-by-step explanation:
To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.
mathematically, for how many values of x does f'(x) = 0
![f'(x) = x(x-3)^2(x+1)^4](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20x%28x-3%29%5E2%28x%2B1%29%5E4)
![0 = x(x-3)^2(x+1)^4](https://tex.z-dn.net/?f=0%20%3D%20x%28x-3%29%5E2%28x%2B1%29%5E4)
since the factors can be separately solved we can write
![0 = x, 0 = (x-3)^2, 0 = (x+1)^4](https://tex.z-dn.net/?f=0%20%3D%20x%2C%200%20%3D%20%28x-3%29%5E2%2C%200%20%3D%20%28x%2B1%29%5E4)
![x= 0, \sqrt{(x-3)^2} = \sqrt{0}, \sqrt{(x+1)^4}=\sqrt{0}](https://tex.z-dn.net/?f=x%3D%200%2C%20%5Csqrt%7B%28x-3%29%5E2%7D%20%3D%20%5Csqrt%7B0%7D%2C%20%5Csqrt%7B%28x%2B1%29%5E4%7D%3D%5Csqrt%7B0%7D)
![x=0, (x-3)=0, (x+1)=0](https://tex.z-dn.net/?f=x%3D0%2C%20%28x-3%29%3D0%2C%20%28x%2B1%29%3D0)
![x = 0, x = 3, x = -1](https://tex.z-dn.net/?f=x%20%3D%200%2C%20x%20%3D%203%2C%20x%20%3D%20-1)
Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).