A number added to 8 times that numbers reciprical is 6, find the number

1 answer:

8 0

Call your unknown number x. The reciprocal would be1/xYou are supposed to add your unknown number to 8 times its reciprocal, orx+8(1/x)This is all supposed to equal 6, so you havex+8/x=6
Solve for x to get your number.
n + 8(1/n) = 6n^2 + 8 = 6nn^2 - 6n + 8 = 0(n - 4)(n - 2) = 0n = 2, 4
So 2 and 4 both are answers in my opinion.

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A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the

xxMikexx [17]

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

$V = \pi r^2h + \frac{1}{3} \pi rH$

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

$V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3$