Yes, because 3×(4x)= 12x (3 times 4 is 12. add the "x" and you have 12x) and 3×8=24 . If you put the two together, you get 12x+24 as the expression. ^_^
The volume of a cone varies jointly with the area of the base and the height of the cone.
![V = kAh](https://tex.z-dn.net/?f=%20V%20%3D%20kAh%20)
where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is
![V = \dfrac{1}{3}Ah](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7DAh%20)
Now we use the second set of info, the height and the volume, and we find the area of the base.
![V = \dfrac{1}{3}Ah](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7DAh%20)
![124 = \dfrac{1}{3} \times A \times 12](https://tex.z-dn.net/?f=%20124%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20A%20%5Ctimes%2012%20)
![124 = 4A](https://tex.z-dn.net/?f=%20124%20%3D%204A%20)
![A = 31](https://tex.z-dn.net/?f=%20A%20%3D%2031%20)
Answer: the area of the base is 31 cm^2
Answer:
35°
Step-by-step explanation:
Complementary angles has a sum of 90°
m<A + m<B = 90°
2x + 23 + 4x -29 = 90° add like terms
6x - 6 = 90° add 6 to both sides
6x = 96 divide both sides by 6
x = 16 now replace the x in m<B = 4x - 29 with 16
4×16 - 29 = 35
Answer:
D. (0, -1)
Step-by-step explanation:
I think it is B. I use an app and it said it couldn't find a solution.