Answer:
3.81 = 3 81/100
Step-by-step explanation:
This can’t be simplified so it stays as 3 
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...
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In the given-question, the missing data is defined in the attached file, please find it.
The answer is "
".
Answer:
C) The sample does not accurately represent the population
Answer:
2. Line MK is the perpendicular bisector of LN.
3. ML ≅ MP
4. ML ≅ MN
Step-by-step explanation:
To prove that ΔLMP ≅ ΔNMP by HL.
The second option or statement states that :
Line MK being the perpendicular bisector of LN then it will explain that angles PML and PMN are right angles. Thus, they are congruent.
Statement 3 and 4 says that
ML, MP, and MN are congruent. Since ML is congruent to MP and MN both. Thus conclude that triangle ΔLMP ≅ ΔNMP by HL
Thus, the correct answer - option 2, 3, and 4.