Answer:
26
Step-by-step explanation: because thats my answer
Answer:
The surface area is ![379.94in^2](https://tex.z-dn.net/?f=379.94in%5E2)
Step-by-step explanation:
Given
Shape: Sphere
- -- Diameter
Required
Determine the surface area (A)
This is calculated using:
![A = 4\pi r^2](https://tex.z-dn.net/?f=A%20%3D%204%5Cpi%20r%5E2)
Where
![r = \frac{1}{2}D](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B2%7DD)
![r = \frac{1}{2}*11](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A11)
![r = 5.5](https://tex.z-dn.net/?f=r%20%3D%205.5)
So, we have:
![A = 4 * 3.14 * 5.5^2](https://tex.z-dn.net/?f=A%20%3D%204%20%2A%203.14%20%2A%205.5%5E2)
![A = 4 * 3.14 * 30.25](https://tex.z-dn.net/?f=A%20%3D%204%20%2A%203.14%20%2A%2030.25)
![A = 379.94](https://tex.z-dn.net/?f=A%20%3D%20379.94)
Hence, the surface area is ![379.94in^2](https://tex.z-dn.net/?f=379.94in%5E2)
Answer:
Celsius * 9/5 + 32 = Fahrenheit
Step-by-step explanation:
We can write the expression above as the following function:
![f(r)=(r-4)^{3}](https://tex.z-dn.net/?f=f%28r%29%3D%28r-4%29%5E%7B3%7D)
So let's examine the expressions that are true for this exercise.
1. <span>
There are three factors of
:
This is
true because we can write the function
![f(r)](https://tex.z-dn.net/?f=f%28r%29)
as follows:
</span>
![f(r)=(r-4)(r-4)(r-4)](https://tex.z-dn.net/?f=f%28r%29%3D%28r-4%29%28r-4%29%28r-4%29)
So you can see that in fact there are three factors.
<span>
2. The expression is equal to 1 over 12 factors of r.
This is
false. It is obvious that this is impossible. There is no any way to get the same expression by applying this statement.
</span>
3. <span>
Adding the exponents will create an equivalent expression.
This is
true because we can write the function as follows:
</span>
![f(r)=(r-4)^{1+1+1}](https://tex.z-dn.net/?f=f%28r%29%3D%28r-4%29%5E%7B1%2B1%2B1%7D)
So adding one three times we can get the same function, that is:
![1+1+1=3](https://tex.z-dn.net/?f=1%2B1%2B1%3D3)
Therefore this is an equivalent expression because:
4. Multiplying the exponents will create an equivalent expression.
This is
true.You can get the following expression:
![f(r)=(r-4)^{\frac{2}{3}\times \frac{9}{2}}](https://tex.z-dn.net/?f=f%28r%29%3D%28r-4%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B2%7D%7D)
By multiplying the exponents we have:
![\frac{2}{3}\times \frac{9}{2}=3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B2%7D%3D3)
Therefore this is an equivalent expression because:
5. <span>
The expression simplifies to.The expression is simplified, that is, it has been factorized. Therefore there is no a way to simplify this function but:
</span>