\left[p \right] = \left[ -1.5 - 3.0\,t\right][p]=[−1.5−3.0t] is 3+2(2p+4t) equivalent
if radius is 45
V≈1.78×10^5
if radius is 28
V≈1.11×10^5
volume = pi times radius squared times height
if radius is 45
volume = pi times 45 squared times 28
Answer:
The answer is 4,277,241
Step-by-step explanation:
I subtracted 283,651 from 4560892.
5 and 12 are factors of 60
Answer:
C) Trapezoid
Step-by-step explanation:
Given
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![C = (12,8)](https://tex.z-dn.net/?f=C%20%3D%20%2812%2C8%29)
![D=(16,0)](https://tex.z-dn.net/?f=D%3D%2816%2C0%29)
Required
The possible shape
The above are 4 vertices.
Hence, the shape cannot be
(a) Triangle ---- it has 3 vertices
(b) Pentagon ---- it has 5 vertices
Calculate distance AB using distance formula
![AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2)
Where:
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![AB = \sqrt{(0 - 4)^2 + (0 - 8)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%280%20-%204%29%5E2%20%2B%20%280%20-%208%29%5E2)
![AB = \sqrt{( - 4)^2 + ( - 8)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%28%20-%204%29%5E2%20%2B%20%28%20-%208%29%5E2)
![AB = \sqrt{16+64](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B16%2B64)
![AB = \sqrt{80](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B80)
![AB = 8.94](https://tex.z-dn.net/?f=AB%20%3D%208.94)
Calculate distance BC using distance formula
![BC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2)
Where:
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![C = (12,8)](https://tex.z-dn.net/?f=C%20%3D%20%2812%2C8%29)
![BC = \sqrt{(4 - 12)^2 + (8 - 8)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%284%20-%2012%29%5E2%20%2B%20%288%20-%208%29%5E2)
![BC = \sqrt{(-8)^2 + (0)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%28-8%29%5E2%20%2B%20%280%29%5E2)
![BC = \sqrt{64 +0](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B64%20%2B0)
![BC = \sqrt{64](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B64)
![BC = 8](https://tex.z-dn.net/?f=BC%20%3D%208)
Since
![AB \ne BC](https://tex.z-dn.net/?f=AB%20%5Cne%20BC)
<em>Then, the polygon is not a square</em>
<em></em>
<em>The last available option is (c) trapezoid</em>