All categories

3 years ago

An oblique cylinder is shown

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Answer:

The answer is 300π

Step-by-step explanation:

was right on edge

nika2105 [10]3 years ago

4 0

Answer:

300π cubit units

Step-by-step explanation:

See attached image for oblique cylinder diagram.

The volume is given by the formula:

V = Area of Base * Height

The base is a circle with area formula πr^2 where radius is shown as 5

Area of Base = πr^2 = π(5)^2 = 25π

And, height is given as 12

Volume = Area of Base * Height = 25π * 12 = 300π cubit units

You might be interested in

Write the range of the function using interval notation.

nalin [4]

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for $0$ and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

Range $=\{y|-2$

The interval notation is:

Range $=(-2,2]$

Therefore, the range of the given function is (-2,2].

3 0

3 years ago

Find the ordered pairs for x and y intercepts of the equation 3x - 2y =18

My name is Ann [436]

   3x - 2y = 18
Wherever the line crosses the
x-axis, y=0.    3x        = 18
   x = 6
The x-intercept is (6, 0) .

   3x - 2y = 18
Wherever the line crosses the
y-axis, x=0.    - 2y = 18
   y = -9
The y-intercept is    (0, -9) .

8 0

3 years ago

Read 2 more answers

Rewrite each expression using the distributive property.<br> 1. (a X 4) + (a x 3) =

Darina [25.2K]

Answer:

(a x 4)+(a x 3)=7a

Step-by-step explanation:

(a x 4)+(a x 3)= 4a+3a

(a x 4)+(a x 3)=7a

or does your question means something else??

3 0

3 years ago

Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3

nlexa [21]

Answer:

$(x,y) = (5,-6)$

Step-by-step explanation:

$\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\$

$~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)$

$\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\$

$\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5$

$y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6$

$\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)$

7 0

1 year ago

PLEASE HELP MEEE AND GO TO MY ACC AND ANSWER OTHER QUESTIONS I NEED HELP

Scrat [10]

Answer:

Maybe because the situation changed

Step-by-step explanation:

4 0

3 years ago