6^3 = 216. When using chance, take the number of outcomes(six for a die) and raise it to the power of the number of repetitions
The answer is 12, hope this helps
Answer:
![Height = 2.5](https://tex.z-dn.net/?f=Height%20%3D%202.5)
Step-by-step explanation:
Given
![Volume = 35](https://tex.z-dn.net/?f=Volume%20%3D%2035)
![Base=4 cm](https://tex.z-dn.net/?f=Base%3D4%20cm)
Required
Determine the height
The volume is calculated as:
![Volume = Height * Base\ Area](https://tex.z-dn.net/?f=Volume%20%3D%20Height%20%2A%20Base%5C%20Area)
Since, it has a triangular cross-section, the expression becomes:
![Volume = Height * \frac{1}{2} * Base * Length](https://tex.z-dn.net/?f=Volume%20%3D%20Height%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20Base%20%2A%20Length)
So, we have:
![35 = Height * \frac{1}{2} * 4 * 7](https://tex.z-dn.net/?f=35%20%3D%20Height%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%20%2A%207)
![35 = Height * 14](https://tex.z-dn.net/?f=35%20%3D%20Height%20%2A%2014)
![Height = 35/14](https://tex.z-dn.net/?f=Height%20%3D%2035%2F14)
![Height = 2.5](https://tex.z-dn.net/?f=Height%20%3D%202.5)
Answer:
8x + (6x + 6) = 90°
x = 6°
Step-by-step explanation:
because it is a right angle, the sum of the angles = 90°
8x + (6x + 6°) = 90°
simplify:
14x + 6° = 90°
subtract 6° from each side:
14x = 84°
divide both sides by 14:
x = 6°