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3 years ago

I need to write an expression to represent the volume of this shape

Mathematics

2 answers:

Alina [70]3 years ago

3 0

Answer:

v = 3.14x²y

Step-by-step explanation:

volume cylinder = πr²h

r = 2x ÷ 2 = x

h = y

crimeas [40]3 years ago

3 0

Answer:

It is 3.14x²y

Step-by-step explanation:

formular:

${ \bf{V = \pi {r}^{2} h}}$

r is radius, r = 2x/2 = x

h is height, h = y

${ \sf{V = (3.14) \times ( {x}^{2} ) \times y}} \\ V = 3.14 {x}^{2} y$

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What is the solution to the inequality |2n+5| > 1 ?

Serhud [2]

Answer:

n > -2 or n < -3

Step-by-step explanation:

|2n+5| > 1

We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative

2n+5 > 1 or 2n+5 < -1

Subtract 5 from each side

2n+5-5 > 1-5 2n+5 -5 < -1 -5

2n >-4 2n < -6

Divide by 2

2n/2 > -4/2 2n/2 < -6/2

n > -2 or n < -3

4 0

3 years ago

The regular price of a pair of glasses is $90. The glasses are on sale for a discount price of $76.50 What is the percent of the

natima [27]

Answer:

15%

Step-by-step explanation:

$\frac{76.50}{90}=\frac{x}{100}$ Set up a proportion.

$90x=7,650$ Cross-multiply.

$x=85$ Divide both sides by 90.

$100-85=15$ The discounted price is 85% of the regular price so the

discount is 15%.

6 0

4 years ago

Read 2 more answers

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

TEA [102]

The equation of parabola is $x^2=\dfrac{3}{4}y$ .
The canonical equation of parabola is $y^2=2p x$ and this parabola has branches that go in positive direction of x-axis.

Since in your equation x is changed to y and y to x, then the branches of the parabola go in positive y-axis direction, the vertex is placed at the origin.

8 0

3 years ago

Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-

kondaur [170]

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is:

$y = \frac{3}{4}x - \frac{15}{4}$

<h3>Solution:</h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

We have to find equation of line

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

$\frac{3}{2}x - 2y = \frac{-17}{2}$

Rearrange the above equation into slope intercept form

$\frac{3x}{2} + \frac{17}{2} = 2y\\\\y = \frac{3x}{4} + \frac{17}{4}$

On comparing the above equation with slope intercept form y = mx + c,

$m = \frac{3}{4}$

So the slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is $m = \frac{3}{4}$

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also $m = \frac{3}{4}$

Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)

Substitute $m = \frac{3}{4}$ and (x, y) = (1 , -3) in slope intercept form

y = mx + c

$-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}$

Thus the required equation of line is:

substitute $m = \frac{3}{4}$ and $c = \frac{-15}{4}$ in slope intercept form

$y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}$

Thus the equation of line is found out

3 0

3 years ago

What needs to be included in the label for each axis of a graph?.

Nookie1986 [14]

Answer:

Each axis has a label. The axis label shows the name of the variable and its unit. The data points are the values plotted on the graph. Each point is plotted using a pair of values for the variables (the x-coordinate and the y-coordinate).

3 0

3 years ago