Answer:
i have answered the question go and check
Answer:
3510 m2 is your answer
Step-by-step explanation:
Answer:
![P(x)=0.55(x+3)(x+2)(x-1)](https://tex.z-dn.net/?f=P%28x%29%3D0.55%28x%2B3%29%28x%2B2%29%28x-1%29)
Step-by-step explanation:
If a polynomial function is third degree function and has zeros at -3,-2, and 1, then its equation is
![P(x)=a(x-(-3))(x-(-2))(x-1)\\ \\P(x)=a(x+3)(x+2)(x-1)](https://tex.z-dn.net/?f=P%28x%29%3Da%28x-%28-3%29%29%28x-%28-2%29%29%28x-1%29%5C%5C%20%5C%5CP%28x%29%3Da%28x%2B3%29%28x%2B2%29%28x-1%29)
It passes through the point (2,11), so the coordinates of the point satisfy the equation of the function:
![11=a(2+3)(2+2)(2-1)\\ \\11=a\cdot 5\cdot 4\cdot 1\\ \\20a=11\\ \\a=\dfrac{11}{20}=0.55\\ \\P(x)=0.55(x+3)(x+2)(x-1)](https://tex.z-dn.net/?f=11%3Da%282%2B3%29%282%2B2%29%282-1%29%5C%5C%20%5C%5C11%3Da%5Ccdot%205%5Ccdot%204%5Ccdot%201%5C%5C%20%5C%5C20a%3D11%5C%5C%20%5C%5Ca%3D%5Cdfrac%7B11%7D%7B20%7D%3D0.55%5C%5C%20%5C%5CP%28x%29%3D0.55%28x%2B3%29%28x%2B2%29%28x-1%29)
The measure of each exterior angle of a regular 15-side polygon is
24°
Step-by-step explanation:
In any regular polygon
- All sides are equal in lengths
- All angles are equal in measures
- The measure of each interior angle =
, where n is the number of its sides - The measure of each exterior angle =
![\frac{360}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7Bn%7D)
- The interior angle and the exterior angle at any vertex are supplementary
∵ The polygon is regular
∵ It has 15 sides
∴ n = 15
∵ The measure of each exterior angle = ![\frac{360}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7Bn%7D)
∴ The measure of each exterior angle = ![\frac{360}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B15%7D)
∴ The measure of each exterior angle = 24°
The measure of each exterior angle of a regular 15-side polygon is
24°
Learn more:
You can learn more about polygons in brainly.com/question/6281564
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