47.05 is the anwser.
When I used the calculator.
For this case we have that by definition, the surface area of a cone is given by:
![SA = \pi * r * s + \pi * r ^ 2](https://tex.z-dn.net/?f=SA%20%3D%20%5Cpi%20%2A%20r%20%2A%20s%20%2B%20%5Cpi%20%2A%20r%20%5E%202)
Where:
A: It's the radio
s: It's the slant
Substituting according to the data we have:
![SA = \pi * 2.1 * 5.6 + \pi * (2.1) ^ 2\\SA = 36.9264 + 13.8474\\SA = 50.7738 \ m ^ 2](https://tex.z-dn.net/?f=SA%20%3D%20%5Cpi%20%2A%202.1%20%2A%205.6%20%2B%20%5Cpi%20%2A%20%282.1%29%20%5E%202%5C%5CSA%20%3D%2036.9264%20%2B%2013.8474%5C%5CSA%20%3D%2050.7738%20%5C%20m%20%5E%202)
If we round:
![SA = 50.8 \ m ^ 2](https://tex.z-dn.net/?f=SA%20%3D%2050.8%20%5C%20m%20%5E%202)
Answer:
True
Answer: ![b=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:
![c^{2}=(\sqrt{a^{2}+b^{2}})^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%28%5Csqrt%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D%29%5E%7B2%7D)
- Now you must subtract a² from each side of the equation, then you obtain:
![c^2-a^{2}=a^{2}-a^{2}+b^{2}](https://tex.z-dn.net/?f=c%5E2-a%5E%7B2%7D%3Da%5E%7B2%7D-a%5E%7B2%7D%2Bb%5E%7B2%7D)
![c^2-a^{2}=b^{2}](https://tex.z-dn.net/?f=c%5E2-a%5E%7B2%7D%3Db%5E%7B2%7D)
- Apply square root to both sides:
![\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7Bb%5E%7B2%7D%7D%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Then:
![b=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
Part A: The probability is 1/6. This is because there are six options in total, and only one of those options is 6.
Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.
Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.
Hey there!
In order to find the amount that Sue paid for the shirt, all you have to do is subtract the price of the jeans from the total amount that she paid for the jeans and the shirt.
55.75 – 25.25 = 30.5
Sue paid $30.50 for the shirt, making your answer A.
Hope this helped you out! :-)