Answer:
25
Step-by-step explanation:
Puppies : Adults = 1 : 4
Total parts = 1 + 4 = 5
5 parts = 100 dogs
1 part = 100 ÷ 5 = 20 dogs
Answer: 20 puppies
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:
the bottom right one
Step-by-step explanation:
X + 2(x + 4) = 32
3x + 8 = 32
3x = 24
x = 8
The lengths of the sides are 8, 12 and 12 (answer),
