Join the center of the hexagon with the 2 base angles.
An equilateral triangle, with side length x, is formed.
(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)
The height
forms 2 congruent right triangles with :
hypotenuse= x, side_1=x/2, and side_2=
.
From the pythagorean theorem we have:
thus, x=4.
The area of the triangle is 1/2 * 4 *
=6.93 (mm squared)
The area of the hexagon is 6* the area of the triangle = 42 (mm squared)
Answer: a. 42 (mm squared)
Answer: 1/4
Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.
I think it would be 46.00 pounds
I think, not too sure on this, you'd divide 8 by 430.
Then whatever answer you get(I'm using an example here), you'd put into percentage like this
0.026
3%
Answer:
Step-by-step explanation:
Let's start with the equation of the volume of a cylinder:
Where:
- r is the radius of the cylinder (r=D/2=24/2=12 cm)
- h is the high of the cylinder (h = 60 cm)
We can us partial derivatives to find the differential of this volume. So we will have:
(1)
Now:
dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.
Now we just need to put all of this definitions in the equation (1).
I hope it helps you!