Answer:
Step-by-step explanation:
6(-2.1k-2)+(7k+5)
-12.6k-12+7k+5
-5.6k-7
2/7 is the simplification form
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:
1) 3.75
2)0.833333
3)3.66666
Step-by-step explanation:
See photo for Step-bystep explanation
To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2. First answer, 20^2+30^2=c^2. Solve for c. c=36.06. The second answer, 20^2+b^2=30^2. Solve for b. b=26.36.
