Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
Answer:
56 cm
Step-by-step explanation:
The ratio of the lengths of the pieces is 3:4.
The longer piece is 32 cm.
We set up a proportion to find the length of the smaller piece.
Let the length of the smaller piece be x.
3 is to 4 as x is to 32
3/4 = x/32
4x = 3 * 32
4x = 96
x = 24
The smaller piece is 24 cm.
24 cm + 32 cm = 56 cm
I’ve attached a photo, with the instructions. Hope it helps. If you have any questions don’t hesitate to ask
Answer:

1 is a whole number, an integer, and rational.
Step-by-step explanation:
For this case we have the following function:
![s (V) = \sqrt [3] {V}](https://tex.z-dn.net/?f=s%20%28V%29%20%3D%20%5Csqrt%20%5B3%5D%20%7BV%7D)
This function describes the side length of the cube.
If Jason wants a cube with a minimum volume of 64 cubic centimeters, then we propose the following inequality:
![s \geq \sqrt [3] {64}](https://tex.z-dn.net/?f=s%20%5Cgeq%20%5Csqrt%20%5B3%5D%20%7B64%7D)
Rewriting we have:
![s \geq \sqrt [3] {4 ^ 3}\\s \geq4](https://tex.z-dn.net/?f=s%20%5Cgeq%20%5Csqrt%20%5B3%5D%20%7B4%20%5E%203%7D%5C%5Cs%20%5Cgeq4)
Answer:
Option B