We are asked to solve for the area of the sector in a circle which central angle measures 125° and the circle also has a diameter of 13 feet. To solve this problem, we need to use the formula in solving area of a sector and it is shown below:
Area of a sector = (central angle / 360) * pi*r²
In the problem, we have radius = diameter / 2 which is r = 13/2 and r = 6.5 feet
Area = (125/360)*pi(6.5)²
Area = (125/360) * 3.14*6.5²
Area = 46.06 feet²
The answer is 46.1 feet².
I think it will be The same
If not then correct me
Answer:
20 in³
Step-by-step explanation:
Volume of 300 pages:
10 × 8 × 3/4
When the no. of pages change, only the thickness of the book changes:
Volume = 10 × 8 × ¼
= 20 in³
answer 0.0227014756
Step-by-step explanation:
or if you meant 312.775/7.1 it's 44.0528169
Answer:
Horizontal distance = 0 m and 6 m
Step-by-step explanation:
Height of a rider in a roller coaster has been defined by the equation,
y = 
Here x = rider's horizontal distance from the start of the ride
i). 

![=\frac{1}{3}[x^{2}-2(3x)+9-9+24]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Bx%5E%7B2%7D-2%283x%29%2B9-9%2B24%5D)
![=\frac{1}{3}[(x^{2}-2(3x)+9)+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x%5E%7B2%7D-2%283x%29%2B9%29%2B15%5D)
![=\frac{1}{3}[(x-3)^2+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x-3%29%5E2%2B15%5D)

ii). Since, the parabolic graph for the given equation opens upwards,
Vertex of the parabola will be the lowest point of the rider on the roller coaster.
From the equation,
Vertex → (3, 5)
Therefore, minimum height of the rider will be the y-coordinate of the vertex.
Minimum height of the rider = 5 m
iii). If h = 8 m,


(x - 3)² = 9
x = 3 ± 3
x = 0, 6 m
Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m