Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
![h = 2r](https://tex.z-dn.net/?f=h%20%3D%202r)
Cone B
R = 2r
![h=r](https://tex.z-dn.net/?f=h%3Dr)
The volume of a cone is
![V = \frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
For cone A, we have:
![V = \frac{1}{3}\pi r^2*2r](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%2A2r)
![V_A = \frac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
For cone B, we have:
![V = \frac{1}{3}\pi *(2r)^2 * r](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%2A%282r%29%5E2%20%2A%20r)
![V = \frac{1}{3}\pi *4r^2 * r](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%2A4r%5E2%20%2A%20r)
![V_B = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_B%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
So, we have:
![V_B = 2 * \frac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V_B%20%3D%202%20%2A%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
Substitute ![V_A = \frac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
![V_B = 2 * V_A](https://tex.z-dn.net/?f=V_B%20%3D%202%20%2A%20V_A)
Make VA the subject
![V_A = \frac{1}{2}V_B](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cfrac%7B1%7D%7B2%7DV_B)
Hence, I agree with Ahmad
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?A.{12, 4, -6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, -4, 6
Leokris [45]
Answer:
{12, 4, -6}
Step-by-step explanation:
The relation is given by the equation as 12x + 6y = 24 ........... (1)
Now, the domain of this function is {-4, 0, 5}
We have to find the range of this function corresponding to the given domain.
Now, for x = - 4,
12(-4) + 6y = 24 {From equation (1)}
⇒ 6y = 72
⇒ y = 12
Now, for x = 0,
12(0) + 6y = 24 {From equation (1)}
⇒ 6y = 24
⇒ y = 4
Now, for x = 5,
12(5) + 6y = 24 {From equation (1)}
⇒ 6y = -36
⇒ y = -6
Hence, the range for the relation is {12, 4, -6} (Answer)
Answer:
The x-axis are (0,0) (-3,0)
Step-by-step explanation:
And is × so you go 12×7÷8 which would give you 10.5