Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9
Answer:
X=3
Step-by-step explanation:
12+2x=6x
Answer:
Choice B: 
.
Step-by-step explanation:
For a parabola with vertex 
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is 
, such that 
and 
. There would exist a constant 
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point 
, 
and 
would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
Answer:
Easy!
Step-by-step explanation:
1) To find the surface area of a regular triangular pyramid, we use the formula SA = A + (3/2)bh, where A = the area of the pyramid's base, b = the base of one of the faces, and h = height of one of the faces.
or
2)Multiply the side length of the base by the slant height and divide by two. Then, multiply by 4. This will give you the lateral surface area of the pyramid. Add the base surface area and the lateral surface area.
Polygon area = [circumradius^2 * # sides * sine (360/# sides)] / 2
small hexagon area =[5^2 * 6 * sine (60)] / 2
small hexagon area =[25 * 6 * 0.86603] / 2
<span><span>small hexagon area = 64.95225
</span>
sq feet
</span>
large hexagon area =[10^2 * 6 * sine (60)] / 2
large hexagon area =[600 * 0.86603] / 2large hexagon area =
<span>
<span>
<span>
259.809 </span></span></span>sq feet
Area of shaded region = large hexagon area -small hexagon areaArea of shaded region = <span>
<span>
259.809</span> -</span>64.95225
<span>Area of shaded region =
194.85675 </span><span>sq feet
</span>
Source:http://www.1728.org/polygon.htm
