The ratio is -3 , find this be dividing two consecutive numbers:
-6/2 =-3
18/-6 = -3
-54/18 =-3
The 5th number in the sequence would be -54 x -3 = 162
The 6th number will be 162 x -3 = -486
The answer is the 3rd choice.
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:
58 degrees
Step-by-step explanation:
The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.
So just subtract:
180-56-66= 58 degrees
it works because the lines are parallel in the picture.
Answer:
<h2>m = 2G² + 5</h2>
Step-by-step explanation:
To make m the subject square both sides of the equation
That's
Cross multiply
m - 5 = 2G²
Move 5 to the right side of the equation to make m stand alone
We have the final answer as
<h3>m = 2G² + 5</h3>
Hope this helps you
Answer:
16m and 12m
Step-by-step explanation:
2x + 2(x - 4) = 56
4x = 64
x = 16
Sides are 16 m and 12 m
