Answer:
1. <u>Ben</u>
Let the number of days be x.
Let the total no. of shares be y
2. <u>Carter</u>
Let the no. of days be x
Let the total no. of shares be y
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:
336
Step-by-step explanation:
A square has four equal sides therefore you know the perimeter is 20+20+20+20 = 80. Since the square and the rectangle have the same perimeter the perimeter of the rectangle is also 80. We already know that two of the sides are 28 cm long so we can subtract those two sides from 80. That gives us 24 which is the sum of the two remaining sides. Each of these sides is 24/2 which is equivalent to 12. The formula for area of a rectangle is length times width. Your length is equal to 28 and your width is equal to 12. When you multiply these you get 336 which is your final answer.
Circumference of a circle divided by diameter
That would be 3 to the nth power—>3^n