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3 years ago

What is the difference between adding and subtracting fractions and multiplying and dividing fractions?

1 answer:

4 0

With adding and subtracting fractions, you must find a common denominator. In multiplication, you just multiply numerator by numerator; denominator by denominator. In division, you multiply the fraction by the reciprocal of the 2nd. In multiplication and division, finding a common denominator is not needed.

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A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:

Vadim26 [7]

Answer:

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

$Volume = \pi * radius^2 * height$

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

$internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2} - 0.75\\internal\ radius = 2.25\ in$

Then, using the internal radius in the volume equation, we have that:

$Volume = \pi * 2.25^2 * 16$

$Volume = 254.47\ in3$

So the correct option is the fourth one: Volume is approximately 254 cubic inches.

5 0

3 years ago

Determine the situation that best describes a normal distribution.

Margaret [11]

we know that

normal distributions:

a function that represents the distribution of many random variables as a symmetrical bell-shaped graph

It is a very common continuous probability distribution

we know that

heights of students in any class is continuous

because it can be any real numbers

so, option-A..........Answer

8 0

3 years ago

Read 2 more answers

Match each spherical volume to the largest cross sectional area of that sphere

zlopas [31]

Answer:

Part 1) $324\pi\ units^{2}$ ------> $7,776\pi\ units^{3}$

Part 2) $36\pi\ units^{2}$ ------> $288\pi\ units^{3}$

Part 3) $81\pi\ units^{2}$ ------> $972\pi\ units^{3}$

Part 4) $144\pi\ units^{2}$ ------> $2,304\pi\ units^{3}$

Step-by-step explanation:

we know that

The largest cross sectional area of that sphere is equal to the area of a circle with the same radius of the sphere

Part 1) we have

$A=324\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$324\pi=\pi r^{2}$

Solve for r

$r^{2}=324$

$r=18\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=18\ units$

substitute

$V=\frac{4}{3}\pi (18)^{3}$

$V=7,776\pi\ units^{3}$

Part 2) we have

$A=36\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$36\pi=\pi r^{2}$

Solve for r

$r^{2}=36$

$r=6\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=6\ units$

substitute

$V=\frac{4}{3}\pi (6)^{3}$

$V=288\pi\ units^{3}$

Part 3) we have

$A=81\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$81\pi=\pi r^{2}$

Solve for r

$r^{2}=81$

$r=9\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=9\ units$

substitute

$V=\frac{4}{3}\pi (9)^{3}$

$V=972\pi\ units^{3}$

Part 4) we have

$A=144\pi\ units^{2}$

The area of the circle is equal to

$A=\pi r^{2}$

$144\pi=\pi r^{2}$

Solve for r

$r^{2}=144$

$r=12\ units$

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

For $r=12\ units$

substitute

$V=\frac{4}{3}\pi (12)^{3}$

$V=2,304\pi\ units^{3}$

5 0

3 years ago

Read 2 more answers

What is the surface area of a 24ft by 16 ft cylinder 288ft2 , 384ft2 , 19ft2 , 672ft2

Viefleur [7K]

The surface area of the cylinder will be 1206.37 square feet.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that the radius of the cylinder is r = 12 ft and the length of the cylinder is 16 ft.

The volume of the cylinder is calculated as:-

V = 2πrl

V = 2 x π x 12 x 16

V = 1206.37 square feet.

Therefore the surface area of the cylinder will be 1206.37 square feet.

To know more about a surface area follow

brainly.com/question/25292087

#SPJ1

4 0

2 years ago

antoniya [11.8K]

Answer: 3.51%

Step-by-step explanation:

Percent error is theoretical minus experimental, divided by the theoretical, and multiplied by 100.

$error=(\frac{(T-E)}{T} )*100$

$error=(\frac{(17.1-16.5)}{17.1} )*100$

= 3.51%

5 0

3 years ago