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3 years ago

Using complete sentences only, describe how to find the volume of a cone.

Mathematics

1 answer:

iogann1982 [59]3 years ago

4 0

Answer:

V = π r^2 h /3

Step-by-step explanation:

To find the volume of a cone, you need to plug in the measurement for the height of the cone and the radius of the base into the formula for the volume of a cone. Then simplify to get your answer.

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Marat540 [252]

What you should know for this case is that all quadratic functions represent a parabola.
We have then that the function with vertice (-2, 0) is:
y = (x-2) ^ 2
Notice that if you substitute the value x = -2 in the equation then y = 0
Answer:
y = (x-2) ^ 2
(option 3)

4 0

4 years ago

what is the slope,y intercept ,are the lines the same intersecting ,or parallel? What are the number of solutions? Classificatio

ohaa [14]

Answer:

For equation: y = 2x + 3 , 2x - y = 5 There is no solution to this system of equations.
For equation: y = 2x + 3 , 2x - y = 5 There is one solution to the system of equations.
For equation: y = x + 4 , y = x + 4 There are infinite solutions to the system.

Step-by-step explanation:

The equation of straight line is written as y = m x + c where 'm' is slope.
y - intercept of line is value which intersect the point on y-axis.
To find y -intercept , put x = 0 in equation.
If slope of two lines are equal then lines are parallel.
If the lines are not parallel, they will always intersect

For equation: y = 2x + 3 , 2x - y = 5

Compare equation y = 2x + 3 with y = m x + c then we get slope 'm' is 2.

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0)+ 3

y = 0 + 3

y = 3

so, the y-intercept is 3 .

Re-write this equation 2x - y = 5 in the slope intercept form;

Subtract 2x from both the sides of 2x - y = 5

2x - y - 2x = 5 - 2x

- y = - 2x + 5

Multiply both the sides by '-1'

y = 2x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x - 5 to get y-intercept

y = 2(0) - 5

y = 0 - 5

y = - 5

so, the y-intercept is - 5 .

Equation y = 2x + 3 and 2x - y = 5 are parallel (since there slope are equal 'm = 2').

There is no solution to this system of equations.

For equation: 3x - y = 5 , 2x + y = -3

Re-write this equation 3x - y = 5 in the slope intercept form;

Subtract 3x from both the sides of 3x - y = 5

3x - y - 3x = 5 - 3x

- y = - 3x + 5

Multiply both the sides by '-1'

y = 3x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 3 .

Now, put x = 0 in y = 3x - 5 to get y-intercept

y = 3(0) - 5

y = 0 - 5

y = - 5

so, the y-intercept is - 5 .

Re-write this equation 2x + y = -3 in the slope intercept form;

Subtract 2x from both the sides of 2x + y = -3

2x - y - 2x = -3 - 2x

- y = - 2x - 3

Multiply both the sides by '-1'

y = 2x + 3

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0) + 3

y = 0 + 3

y = 3

so, the y-intercept is 3 .

Equation 3x - y = 5 and 2x + y = -3 are intersecting lines (since their slope are not equal).

There is one solution to the system of equations (since the lines are intersect).

For equation: y = x + 4 , y = x + 4

Compare equation y = x + 4 with y = m x + c then we get slope 'm' is 1.

Now, put x = 0 in y = x + 4 to get y-intercept

y = 0+ 4

y = 4

so, the y-intercept is 4 .

since equation of line are same therefore slopes are also equal

Equation y = x + 4 and y = x + 4 are parallel lines.

There are infinite solutions to the system. ( Since equivalent equation)

3 0

3 years ago

Jessie wants to find out what type of music her fellow students enjoy the most. She asks her classmates: "What is your favorite

iogann1982 [59]

Country cause it's good

5 0

3 years ago

A line intersects the points (3,-4) and

MrRa [10]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = $\frac{2+4}{1-3}$ = $\frac{6}{-2}$ = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

5 0

4 years ago

The area of the regular octagon is approximately 54 cm2. A regular octagon has an apothem with length 4 centimeters and an area

ExtremeBDS [4]

Answer:

The length of line segment AB = 3.4 cm.

Step-by-step explanation:

Given:

The area of the regular octagon is approximately = 54 cm²

A regular octagon has an apothem with length = 4 cm

AB = side of the octagon

To Find:

AB = side of the octagon = ?

Solution:

A regular octagon has an Eight equal Side

We Know that,

$\textrm{area of regular octagon}=\textrm{Perimeter}\times \frac{Apothem}{2}$

substituting the given values in equation we get

$54 = Perimter\times \frac{4}{2}\\ \\\therefore Perimeter=\frac{54}{2}\\ \\\therefore Perimeter = 27\ cm\\$

Now,

Perimeter = 8 × Side

∴ Perimeter = 8 × AB

∴ 27 = 8 × AB

∴ $AB =\frac{27}{8}\\ \\\therefore AB =3.375\ cm\\\\$

After rounded to nearest 10th we get

AB =3.4 cm

The length of line segment AB = 3.4 cm.

6 0

4 years ago

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