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2 years ago

A cylindrical metal pipe has a diameter of 8.4 millimeters

Mathematics

2 answers:

Phoenix [80]2 years ago

5 0

Answer:

C. 271.44 $mm^3$

Step-by-step explanation:

We need to first find the volume of the pipe, then find the volume of the hole and then subtract the volume of the hole from the volume of the pipe.

The diameter of the pipe is 8.4 mm. This means its radius is:

8.4/2 = 4.2 mm

The height of the pipe is 10 mm

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius

h - height

Therefore, the volume of the cylinder without the hole is:

$V = \pi * 4.2^2 * 10\\\\V = 554.18 mm^3$

The diameter of the hole is 6 mm. Its radius is:

6/2 = 3 mm

The volume of the hole is:

$V = \pi * 3^2 * 10\\\\V = 282.74 mm^3$

The volume is:

554.18 - 282.74 = 271.44 $mm^3$

RSB [31]2 years ago

5 0

Answer:

B. 271.3 $mm^{3}$

Step-by-step explanation:

Volume of the outer cylinder minus the volume of the inner cylinder returns the volume of the metal outer ring that surrounds the hole.

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katrin [286]

Answer:

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Step-by-step explanation:

6 0

2 years ago

3 years from now, Ron's age will be 2 times that of Miley. Three years ago, Ron's age was 3 times that of Miley.

andrezito [222]

Answer:

M=9

EXPLANATION:

Let R represent Ronald’s present age. Let M represent Miley’s present age. Three years from now, Ronald and Miley will be R+3 and M+3 years old, respectively.

Your assertion “Three years from now, Ron’s age will be 2 times that of Miley's” can be written as

R + 3 = 2*(M + 3)

Similarly, your assertion “Three years ago, Ron's age was 3 times that of Miley's” can be written as

R - 3 = 3*(M-3)

We can add the left side of these equations together, and also the right side of these equations together, and obtain a new equation …

R + 3 + R - 3 = 2*(M + 3) + 3*(M - 3) = 2M + 6 + 3M - 9 = 5M - 3

This can be simplified to

2R = 5M - 3

We can divide both sides of the last equation by 2, and obtain ..

(2/2) * R = (5/2) * M - 3/2, or R = (5/2) * M - 3/2.

Now we can “plug in” the last equation into either of our first two equations of this post, and solve for M.

Using the first equation, we have

(5/2) * M - 3/2 + 3 = 2 *(M + 3) = 2M + 6

We now have

(5/2) * M + 3/2 = 2M + 6

The left side of this equation can be rewritten as

(5M + 3) / 2, so we obtain

(5M + 3) / 2 = 2M + 6

Multiplying both sides by 2, we have

5M + 3 = 4M + 12

Subtracting 4M and 3 from both sides, we obtain

M = 9

Miley’s present age is 9.

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3 years ago

Can you please explain how you got the answer? Also plz tell me what the closed and open circle mean again..

ale4655 [162]

Answer: A

Step-by-step explanation:

Open circle means that x does not equal that number. For example, the open circle on C is on 8, so that shows x is not equal to 8.

Closed circle means that x does equal that number. For example on A, there is a closed circle on 8, so x could equal 8.

First, we need to solve the equation.

Subtract 200 frim 1200 -> 125x ≥ 1000.
Divide 125 from 1000 to isolate the x -> x ≥ 8

So, that means x is bigger than or equal to 8.

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2 years ago

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3 years ago

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Step-by-step explanation:

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2 years ago

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