Answer:
x ≥ -11/2
Step-by-step explanation:
Step 1: Write inequality
1/2(8x - 2) - 2/3(9x + 3) ≤ 8
Step 2: Solve for <em>x</em>
- Distribute: 4x - 1 - 6x - 2 ≤ 8
- Combine like terms: -2x - 3 ≤ 8
- Add 3 to both sides: -2x ≤ 11
- Divide both sides by -2: x ≥ -11/2
The coordinates of the centroid are the average values of the - and -coordinates of the points that belong to the region. Let denote the bounded region. These averages are given by the integral expressions
The denominator is just the area of , given by
where we rewrite the integrand using the identities
Now, if
with , then
Find where this simpler sine curve crosses the -axis.
In the interval [0, 8], this happens a total of 5 times at
See the attached plots, which demonstrates the area between the two curves is the same as the area between the simpler sine wave and the -axis.
By symmetry, the areas of the middle four regions (the completely filled "lobes") are the same, so the area integral reduces to
The signs of each integral are decided by whether lies above or below axis over each interval. These integrals are totally doable, but rather tedious. You should end up with
Similarly, we compute the slightly more complicated -integral to be
and the even more complicated -integral to be
Then the centroid of is
-5/3 minus x
i hope thi helps.
3.5
cm would be the first whole number.
So if the number after the whole number (the tenth) is 0-4 the whole number doest change. If it's 5-9 you add one to the whole number.
Since it is a 5 you add one to the 3 making it 4 :)
Answer:
I believe it is 4.98
Step-by-step explanation:
Divide 7.47 by 3 you get 2.49 multiply that by 2 and you get 4.98