To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.
We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3
Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
Answer:
7
Step-by-step explanation:
If the ratio is 2:3:2 that means that there is 2Karen tomato juice bottles, 3pineapple juice bottles and 2 grape juice bottles you just have to find the sum and get 7juice bottles
Answer:
Step-by-step explanation:
The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when
![s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in](https://tex.z-dn.net/?f=s%5E3%3D%281%2F3%29%283%29%285%2F3%29%5C%5C%20%5C%5C%20s%5E3%3D5%2F3%5C%5C%20%5C%5C%20s%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B5%7D%7B3%7D%7Din%5C%5C%20%5C%5C%20s%5Capprox%201.19in)
The first option. 77 5/8.
