<span>During the indicated time block of 6 PM-4 AM, the movies should go as follows:
Since the G rating movies needs to be shown during the first time block, it would be first at 6 pm until around 8 pm. The NC-17 movie would also need to be LAST and from 2 am to 4 am. That leaves 3 movies left to be shown from around 8 pm to 2 Am, which could be shown in 6 different ways. If we assigned EACH movie a title of A, B or C, you get these different showing possibilities- ABC, ACB, BAC, BCA, CAB, and CBA. Since the first and last movies never change, they would default to the first and last positions while the rest is filled in.</span>
First you must know that the sum of the interior angles of a triangle are 180. Once you know that, you just simply add 98+x=180 (you can use an variable as you see fit, doesn't need to be x). And then you simply solve for x by dividing 98 on both sides leaving you with 82.
Answer:
x intercepts: (-1,0) and (2.5,0)
It will be a minimum because the coeficcent for the degree is positive. The coordinates of the vertex are: (.75,-6.125)
To graph this I would first draw points on the vertex (.75,-6.125) and the x intercepts (-1,0) and (2.5,0). I would then simply just sketch a parabola that met all those points.
Step-by-step explanation:
Work Below (can clarify anything if needed)
Answer:
Second option: Surface area = 176*pi cm2
Step-by-step explanation:
The surface area of a cylinder is given by:
S = 2*pi*r^2 + 2*pi*r*h
Where r is the base radius and h is the height.
If we have that the diameter is 8 centimeters, the radius is 8/2 = 4 centimeters. So with r = 4 and h = 18, we have that the surface area is:
S = 2*pi*4^2 + 2*pi*4*18 = 176*pi cm2
So the answer is the second option.
