Answer:
Step-by-step explanation:
Diameter of cone = 16 in
Radius of cone r = 16/2 = 8 in
Height of cone h = 17.6 in
![V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\](https://tex.z-dn.net/?f=V_%7Bcone%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B2%7Dh%20%5C%5C%20%20%5C%5C%20%20V_%7Bcone%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%203.14%20%5Ctimes%20%20%7B%288%29%7D%5E%7B2%7D%20%5Ctimes%2017.6%20%5C%5C%20%20%5C%5C%20%20%20V_%7Bcone%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%203%2C536.896%20%5C%5C%20%20%5C%5C%20%20V_%7Bcone%7D%20%20%3D%20%201%2C178.96533%20%5C%5C%20%20%5C%5C%20%20V_%7Bcone%7D%20%20%20%5Capprox%201%2C178.97%20%5C%3A%20%20%7Bin%7D%5E%7B3%7D%20%20%5C%5C)
If it can scan 72 photos in 8 minutes, it can scan 72/8 = 9 photos per minute.
So in 23 minutes, it can scan 9x23 = 207 photos
Answer:
The answer is 61.
Step-by-step explanation:
You have to substitute x = -8 into the function :
![f(x) = {x}^{2} - 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20-%203)
![let \: x = - 8](https://tex.z-dn.net/?f=let%20%5C%3A%20x%20%3D%20%20-%208)
![f( - 8) = {( - 8)}^{2} - 3](https://tex.z-dn.net/?f=f%28%20-%208%29%20%3D%20%20%7B%28%20-%208%29%7D%5E%7B2%7D%20%20-%203)
![f( - 8) = 64 - 3](https://tex.z-dn.net/?f=f%28%20-%208%29%20%3D%2064%20-%203)
![f( - 8) = 61](https://tex.z-dn.net/?f=f%28%20-%208%29%20%3D%2061)
To find the volume of a cylinder, use this formula: V = (pi)(r^2)(h)
We'll use 3.14 for pi.
Can A:
Diameter = 10
Radius = 5
Height = 10.5
Because the radius is half that of the diameter.
C = 3.14 * (5^2) * 10.5 = <span>824.25
Can A Volume = </span><span>824.25
Can B:
Height = 11
Radius = 3.75
V = 3.14 * (3.75) * 11 = </span><span>129.525
Can B Volume = </span><span>129.525
Can A is bigger than Can B.</span>
Answer:
Step-by-step explanation:
+ The 2 diagonals AC et BD have their midpoint M.
+ We can find M like:
![x_{M}=\frac{x_{A}+x_{C} }{2} = \frac{2+5}{2} =7/2\\\\ y_{M}=\frac{y_{A}+y_{C} }{2} = \frac{1+6}{2} =7/2\\](https://tex.z-dn.net/?f=x_%7BM%7D%3D%5Cfrac%7Bx_%7BA%7D%2Bx_%7BC%7D%20%20%7D%7B2%7D%20%3D%20%5Cfrac%7B2%2B5%7D%7B2%7D%20%3D7%2F2%5C%5C%5C%5C%20y_%7BM%7D%3D%5Cfrac%7By_%7BA%7D%2By_%7BC%7D%20%20%7D%7B2%7D%20%3D%20%5Cfrac%7B1%2B6%7D%7B2%7D%20%3D7%2F2%5C%5C)
So, we can find D like:
![x_{D =2x_{M} -x_{B} = 2*(7/2) - 5 = 7 - 5= 2\\\y_{D} = 2y_{M} -y_{B} = 2*(7/2) - 1 = 7 - 1= 6\\](https://tex.z-dn.net/?f=x_%7BD%20%3D2x_%7BM%7D%20-x_%7BB%7D%20%20%3D%202%2A%287%2F2%29%20-%205%20%3D%207%20-%205%3D%202%5C%5C%5Cy_%7BD%7D%20%3D%20%202y_%7BM%7D%20-y_%7BB%7D%20%20%3D%202%2A%287%2F2%29%20-%201%20%3D%207%20-%201%3D%206%5C%5C)
The answer is D(2,6)