<h3>
Answer: 803.1 m^3</h3>
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Work Shown:
d = 8.4 is the diameter
r = d/2 = 8.4/2 = 4.2 is the radius
h = 14.5 is the height
V = pi*r^2*h = volume of cylinder
V = pi*(4.2)^2*14.5
V = pi*255.78
V = 255.78pi = exact volume in terms of pi
V = 255.78*3.14
V = 803.1492
V = 803.1 ... round to one decimal place
The units for the volume are in cubic meters which we can abbreviate as "m^3"
We'll use Cramer's rule for 2 equations:
ax + by = e
cx + dy = f
5x -3y = 18 a=5 b=-3 e=18
2x + 7y = -1 c=2 d=7 f=-1
denominator determinant (dn) = (a * d) - (c * b) = 5 * 7 - (2 * -3) = 41
x = [(e * d) - (f * b)] / dn
[18 * 7 - (-1 * -3)] / 41 =
123 / 41 = 3
y = [(a * f) - (c * e)] / dn
= (5 * -1) -(2 * 18) / 41 =
-41 / 41 = -1
Source:
1728.com/cramer.htm
Answer:
= 8.25
Step-by-step explanation:
6, 8, 8.5, 11
The middle number are 8 and 8.5
We then add them and divide by 2
= 8 + 8.5 / 2
= 16.5/2
= 8.25
Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer: Reflection is the change in direction of a wavefront between two different media so that the wavefront returns into the medium from which it originated.
Step-by-step explanation:
