ANSWER
A. 22 in
EXPLANATION
The volume of a cone is calculated using the formula:
![Volume = \frac{1}{3} \times \pi {r}^{2} h](https://tex.z-dn.net/?f=Volume%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
It was given that: the volume is 2,279.64 in³
The height of the cylinder is also given as: h=18 in.
We substitute, the given values into the formula to get:
![2279.64= \frac{1}{3} \times (3.14) \times {r}^{2} \times 18](https://tex.z-dn.net/?f=2279.64%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%283.14%29%20%5Ctimes%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%2018)
![2279.64= 18.84 {r}^{2}](https://tex.z-dn.net/?f=2279.64%3D%2018.84%20%7Br%7D%5E%7B2%7D%20)
![{r}^{2} = \frac{2279.64}{18.84}](https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B2279.64%7D%7B18.84%7D%20)
![{r}^{2} = 121](https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B2%7D%20%20%3D%20121)
We take positive square root to get;
![r = \sqrt{121}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B121%7D%20)
![r = 11in](https://tex.z-dn.net/?f=r%20%3D%2011in)
Therefore the diameter is 2(11) which is equal to 22 inches.
You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.
Answer:
The minimum number of different tanks needed to safely house all the fish is:
Step-by-step explanation:
To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:
- Tank 1: <em>A</em>
- Tank 2: <em>F</em>
- Tank 3: <em>G</em>
Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:
- Tank 1: <em>A, B, D</em>.
- Tank 2: <em>F, E, H</em>.
- Tank 3: <em>G, C</em>.
And t<u>he owner of the pet store must buy three different tanks to display these tropical fish</u>.
That it is that many deviations away from the mean.
Answer:
4 jumps
Step-by-step explanation:
5 points per jump and 20 points in total.
20/5 = 4