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:
14) x = 30°
15) x = 50°
Step-by-step explanation:
14) 60 + x = 90
x = 90 - 60
x = 30°
15) 130 + x = 180
x = 180 - 130
x = 50°
Hope this helps
Answer:
Step-by-step explanation:
1)a) Abscissa of O 0
Abscissa of A 4
Abscissa of B -3 {opposite of 3}
Abscissa of C 3 {3 is the only positive integer like A}
Abscissa of D -4.5
Abscissa of E -6
Abscissa of F -1 {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}
b) OB = 3 units
DA = 8.5 {4.5 +4 = 8.5}
The value of the variable 'x' in the first case and the second case will be 9° and 1.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.
In part 61, the equation is given as,
100° + 9x - 1° = 180°
Simplify the equation, then we have
9x + 99° = 180°
9x = 81°
x = 9°
In part 62, the equation is given as,
22x - 1 = 21
Simplify the equation, then we have
22x - 1 = 21
22x = 22
x = 1
The value of the variable 'x' in the first case and the second case will be 9° and 1.
More about the parallelogram link is given below.
brainly.com/question/1563728
#SPJ1
Answer:
= 9
Step-by-step explanation:
We need to find which will make an equivalent fraction statement.
5 x 6 = 30
x 6 = 54 (to find we should do 54 ÷ 6 which = 9)
So:
= 9
hope this helps :)
