Answer:
B and F should be right since the angle in the middle of them anchors in the the middle of the circle
Answer:
{12, 16}
Step-by-step explanation:
The difference of two <em>numbers (x and y)</em> is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.
So we need to solve the system of linear equations
y - x = 4
y = 2x - 8
Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or
x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.
The numbers are 12 and 16.
Answer:
The answer is C. Citizens vote for the president. Hope this helps! Have a great day!
Step-by-step explanation:
Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where 
. Each interval has length 
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
The shape shown here is a triangular pyramid, because it has a triangular base and a pointy tip.
