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2 years ago

Find the volume and round to the nearest tenth as needed

Mathematics

1 answer:

erastovalidia [21]2 years ago

6 0

Answer:

1053 m^3

Step-by-step explanation:

Pyramid top 1/3 * 9 * 9 * 12 = 324 m^3

Base 9 * 9 * 9 = 729 m^3

total 1053 m^3

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Studentka2010 [4]

Part A: Vertical asymptote is $x=0$

Part B: Domain is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: Horizontal asymptote is $y=4$

Part D: Range is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

$x=0$

Hence, the vertical asymptote is $x=0$

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, $x=0$

Therefore, the function is undefined at the point $x=0$

Thus, the domain of the function is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, $y=4$

Hence, the horizontal asymptote of the function is $y=4$

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

$\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Therefore, the range of the function is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

6 0

3 years ago

What is the difference between constructing a square and constructing a regular hexagon?

ivolga24 [154]

The difference between constructing a square and constructing a regular hexagon is A. The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

<h3>What is a square?</h3>

A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and four equal angles. It can also be defined as a rectangle with two adjacent sides of equal length.

A regular hexagon is a polygon with six equal sides and six equal angles. All of the sides and angles of a regular polygon are equal.

In conclusion, the correct option is A.

Learn more about square on:

brainly.com/question/25092270

#SPJ1

3 0

1 year ago

Please help due today!

Brilliant_brown [7]

It is equiangular too cuz of the angles theyre all 90 degress

3 0

3 years ago

What is 3/6 = 15/x could you please tell me the answer I need it bad Ummm here is another one what is 35 x 189 and 123 x 1245 12

tangare [24]

1. 30
2. 23,339
The others one just copy and paste onto the Google calculator

4 0

3 years ago

When graphing the following equations, which one will be a straight line?

11Alexandr11 [23.1K]

The answer is obvious that is option B, however for educational purposes we will graph the different cases

using a graph tool
see the attached figure

case A-------> is a parabola is not a straight line
case B-------> is a straight line
case C-------> there are two straight line
case D-------> is a circle is not a straight line
hence

the answer is the option
B.f(x) = x + 1

7 0

3 years ago