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...
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

Equation of a circle:
The equation of a circle with center
and radius r is given by:

Center at (16, 30)
This means that 
Thus

Passes through the origin:
We use this to find the radius squared, as this means that
is part of the circle. Thus



Thus, the equation of the circle is:

For another example to find the equation of a circle, you can look at brainly.com/question/23719612
Answer:
In a geometric sequence, the <u>ratio</u> between consecutive terms is constant.
Step-by-step explanation:
A geometric sequence is where you get from one term to another by multiplying by the same value. This value is known as the <u>constant ratio</u>, or <u>common ratio</u>. An example of a geometric sequence and it's constant ratio would be the sequence 4, 16, 64, 256, . . ., in which you find the next term by multiplying the previous term by four. 4 × 4 = 16, 16 × 4 = 64, and so on. So, in this sequence the constant <em>ratio </em>would be four.
Answer:
rational
Step-by-step explanation:
The answer is 17 because a right angle is 90 and you subtract 73 from it and get 17