The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
2x+3x -9. You can simplify this to 5x-9.
The measure of the Central Angle indicated is; 45°
<h3>How to find the central angle of a circle?</h3>
The central angle will be the angle subtended at the center by arc FE and arc CB.
Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;
Central Angle = 180° - 135° = 45°
Angle subtended by Arc CD at the center is;
θ = 180 - (81 + 45)
θ = 54°
Read more about Central Angle at; brainly.com/question/17074363
#SPJ1
Do you know how to draw a bar graph?
Or model.
It's not something I can draw on this. But for purposes of helping you find how many feet deeper the Marina to the Puerto Rico trench
36,201 minus 27,493
Answer:
2 is the greatest factor
Step-by-step explanation:
2x-8
We can factor out a 2 from each term
2 (x-4)
