Answer:
<c = 45°
<d = 90°
I am not sure okay....this ia sq right?
Answer:
m = 28
Step-by-step explanation:
70 × 2 = 5m
140 = 5m
28 = m
Answer:
Step-by-step explanation:
Volume of first container = 48 cm³
πr²h = 48 cm³
Second container:
height = (2/3)h
Volume of second container=
![=\pi *r^{2}*(\frac{2}{3}*h)\\\\=\frac{2}{3}*\pi *r^{2}*h\\\\](https://tex.z-dn.net/?f=%3D%5Cpi%20%2Ar%5E%7B2%7D%2A%28%5Cfrac%7B2%7D%7B3%7D%2Ah%29%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D%2A%5Cpi%20%2Ar%5E%7B2%7D%2Ah%5C%5C%5C%5C)
=(2/3)* first container's volume {πr²h = 48 cm³}
![=\frac{2}{3}*48\\\\=2*16\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B3%7D%2A48%5C%5C%5C%5C%3D2%2A16%5C%5C%5C%5C)
= 32 cm³
Answer:
![13.5\sqrt{3}\:\text{ft}^{2}](https://tex.z-dn.net/?f=13.5%5Csqrt%7B3%7D%5C%3A%5Ctext%7Bft%7D%5E%7B2%7D)
Step-by-step explanation:
Given: The side of a regular hexagon is 3 feet.
To find: Area of the hexagon
Solution:
It is given that the side of a regular hexagon is 3 feet.
We know that the area of a regular hexagon whose side is a units is
Here, the side is 3 feet
So, area of the regular hexagon
![=\frac{3\sqrt{3} }{2} \times3^{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Ctimes3%5E%7B2%7D)
![=\frac{3\sqrt{3} }{2} \times9](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Ctimes9)
![=\frac{27\sqrt{3} }{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B27%5Csqrt%7B3%7D%20%7D%7B2%7D)
![=13.5\sqrt{3}\:\text{ft}^{2}](https://tex.z-dn.net/?f=%3D13.5%5Csqrt%7B3%7D%5C%3A%5Ctext%7Bft%7D%5E%7B2%7D)
Hence, area of the regular hexagon is ![13.5\sqrt{3}\:\text{ft}^{2}](https://tex.z-dn.net/?f=13.5%5Csqrt%7B3%7D%5C%3A%5Ctext%7Bft%7D%5E%7B2%7D)
1.8 km >> 1,800 m
1,800 - 740 = 1,060 m
1,060 m >> 1.06 km
The shorter route is 1.06 km.