Answer:
47.145
Step-by-step explanation:
formula for total surface area of a cylinder is 2×3.143×radius
Answer:
I cant really see its up side down if you can do it again the right way then I tell you what it is but its kinda hard to see the way im seeing it
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.
<h3>What is the equation for the time it takes for the pendulum to swing back and forth?</h3>
The equation is given as follows:
In which l is the length of the pendulum.
In this problem, we have that 
, hence:
l = 32 x 1.2
l = 38.4 ft.
More can be learned about equations at brainly.com/question/25537936
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<span>All sides are the same length and all interior angles are the same size. To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)... And there are twelve angles... So, the measure of the interior angle of a regular dodecagon is 150 degrees.</span>
