Answer:
The measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Step-by-step explanation:
We need to determine the measure of an interior angle of a regular 12-gon.
- We know that the number of sides in a regular 12-gon = n = 12
Thus,
Using the formula to determine the measure of an interior angle of a regular 12-gon is given by
(n - 2) × 180° = n × interior angle
substitute n = 12
(12 - 2) × 180 = 12 × interior angle
10 × 180 = 12 × interior angle
Interior angle = (10 × 180) / 12
= 1800 / 12
= 150°
Therefore, the measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
What website are you doing school on? I had this same question but apparently it’s different for different websites
Start by finding the vertex, which is the point the parabola turns. The x value is -b/2a, which you have in your notes here. b = -8 and a = 2 and therefore the x value of the vertex is 2. Plug that in to find the y value, which is -2.
Start by plotting this point and the y intercept, which is 6. The parabola will be a U shape, which goes upwards starting at the vertex. If you draw that using the side with the y intercept, you can just mirror it on the other side of the vertex.
Answer:
1. a. Weak
2. r^2=0.0169
The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.
Step-by-step explanation:
The correlation between the weight of the wine bottles and the price of the wine is r=0.13.
The values for r goes from r=-1, where a perfect negative correlation to r=1 for a perfect positive correlation. The value r=0 indicates no correlation at all.
Then, a value of r close to 0 indicates very weak correlation between the two variables.
The value for r^2 in this case is:
The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.
Answer:
Step-by-step explanation:
![\text{Use}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\a^n\cdot a^m=a^{n+m}\\-----------------\\\\length=\sqrt[3]{81}=\sqrt[3]{3^4}=3^\frac{4}{3}\\\\width=3^\frac{2}{3}\\\\\text{The area of a rectangle:}\ A=width\cdot length.\\\text{Substitute:}\\\\A=3^\frac{4}{3}\cdot3^\frac{2}{3}=3^{\frac{4}{3}+\frac{2}{3}}=3^{\frac{4+2}{3}}=3^\frac{6}{3}=3^2=9](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5Ca%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C-----------------%5C%5C%5C%5Clength%3D%5Csqrt%5B3%5D%7B81%7D%3D%5Csqrt%5B3%5D%7B3%5E4%7D%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5Cwidth%3D3%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BThe%20area%20of%20a%20rectangle%3A%7D%5C%20A%3Dwidth%5Ccdot%20length.%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5CA%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5Ccdot3%5E%5Cfrac%7B2%7D%7B3%7D%3D3%5E%7B%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B4%2B2%7D%7B3%7D%7D%3D3%5E%5Cfrac%7B6%7D%7B3%7D%3D3%5E2%3D9)
