Please help me out on this one....

The volume of the cylinder is 62.83 cubic cm and the volume of. the cone is 20.94 cubic cm.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

We know that,

It should be noted the to calculate the volume of a cylinder, we can use the formula V = πr²h, where r is the radius and h is the height. In this case, the height and radius of the cylinder and cone are the same.

For the cylinder:

Volume = π(2cm)²(5cm)

V = 20π

For the cone, we can use the formula

V = (1/3)πr²h:

V = (1/3)π(2cm)²(5cm)

V = 20/3π cubic cm (exact value)

Hence, to get an approximate decimal value, we can use a calculator to evaluate:

Volume of cylinder ≈ 62.83 cubic cm

Volume of cone ≈ 20.94 cubic cm

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Complete question:

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone. Enter your answers as a whole number or fraction

Cylinder:

π cm3

Cone:

π cm3

Flag question: Question 2

Question 21 pts

The volume of this cone is cubic units.

A drawing of a cone.

What is the volume of a cylinder that has the same base area and the same height?

π

Flag question: Question 3

Question 31 pts

A cylinder has a diameter of 6 cm and a volume of cm3.

Sketch the cylinder.

Find its height and radius in centimeters.

Label your sketch with the cylinder's height and radius.

Radius:

cm Height:

cm

Flag question: Question 4

Question 41 pts

Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts.

1. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts.

2. There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.

No

3. What is the slope of the graph between 0 and 10? What does it mean in the story?

The slope is

5

which represents the

Shirts per $1

for the first 10 shirts

4. What is the slope of the graph between 11 and 15? What does it mean in the story?

The slope is

7

which represents the

Price per 1 shirt

for 10-15 shirts

Flag question: Question 5

Question 51 pts

In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Match a possible story to each graph.

Group of answer choices

Left graph

A student leaves school and walks to a friend’s house that is halfway between school and their house. After spending some time at a friend’s house, the student continues walking home.

Center graph

An athlete leaves school to go home for a while, then returns to school for a game later in the evening.

Right graph

A parent starts from their workplace and drives directly to school to pick up their daughter.

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Answer:Therefore, the percent change from 56 to 77 students is 37.5%.

Step-by-step explanation:

students, we can use the following formula:

percent change = ((new number - old number) / old number) x 100%

Plugging in the values given in the problem, we get:

percent change = ((77 - 56) / 56) x 100%

percent change = (21 / 56) x 100%

percent change = 0.375 x 100%

percent change = 37.5%

Therefore, the percent change from 56 to 77 students is 37.5%.

Answer: 37.5%

Step-by-step explanation:

The total cost of the nickel for the sculpture is $12,660.48.

We know that the volume of a cone is:

v = 1/3πr²h  ......(i)

where r ⇒ radius of the cone

h ⇒ height of the cone

Now, as per the question,

r = diameter/2 = 16÷2 = 8 inches

h = 84 inches

Putting the values in equation (i)

v = 1/3 × 3.14 × (8)² × 84

v = 5626.88 cubic inch

The cost given for nickel = $2.25 per cubic inch

So, the total cost for the nickel used in making the sculpture:

the volume of cone × cost per cubic inch

5626.88 × 2.25 = $12,660.48

Therefore, the total cost for the nickel used is $12,660.48

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Answer:

21/32

Step-by-step explanation:

Answer:nonlinear i think

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).

From the given values:

1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).

2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).

We can set up two equations using the given proportionalities and the given values:

Equation 1: \(a = ky^2\)

Equation 2: \(b = \frac{c}{y}\)

Substituting these into the first given condition:

\(ky^2 + \frac{c}{y} + 4 = 18\)

Substituting these into the second given condition:

\(ky^2 + \frac{c}{y} + 4 = -3\)

Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).

Let's solve the equations:

From the first equation:

\(k(2^2) + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} = 14\)

From the second equation:

\(k(1^2) + \frac{c}{1} + 4 = -3\)

\(k + c + 4 = -3\)

\(k + c = -7\)

Now we have a system of two equations:

1. \(4k + \frac{c}{2} = 14\)

2. \(k + c = -7\)

Solve the second equation for \(k\): \(k = -c - 7\)

Substitute this into the first equation:

\(4(-c - 7) + \frac{c}{2} = 14\)

\(-4c - 28 + \frac{c}{2} = 14\)

\(-8c - 56 + c = 28\)

\(-7c = 84\)

\(c = -12\)

Substitute \(c\) back into \(k + c = -7\):

\(k - 12 = -7\)

\(k = 5\)

Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:

\(a = 5y^2\)

\(b = \frac{-12}{y}\)

Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):

\(x = 5(4^2) + \frac{-12}{4} + 4\)

\(x = 80 - 3 + 4\)

\(x = 81\)

So, when \(y = 4\), \(x\) is 81.

Answer:

the expression would be

x=4 X y

The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.

The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.

The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:

2π(5/4)^2 = 25/2 π square centimeters

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:

2π(5/4)(15/4) = 75/2 π square centimeters

Therefore, the total surface area of the cylinder is:

25/2 π + 75/2 π = 100/2 π = 50 π square centimeters

So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.

Answer:

Could you specify it more pls?

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer would be D

we can rewrite the function as F(y) = y^2. notice that this function is written as F(y) rather than F(x). if this were a function of y we would write it as F(x)= squareroot(x)

the difference between a function of x and a function of Y is that in a Function of x the x value will be isolated and in a function of y the y value will be isolated.

Answer:

12 ≥ n

Step-by-step explanation:

8 minutes a lap is EXTREMELY slow, what is she doing? Crawlling?

96/8 ≥ n

12 ≥ n

Answer:

12 laps.

Step-by-step explanation:

If she runs 8 minutes a lap and she runs 96 minutes in total then all you have to do is divide 96 by 8.

96÷8=12

Answer:

m<3 = 50 degrees

Step-by-step explanation:

All the angles of a triangle must add up to 180, or else it isn't a triangle

So, 70 + 60 + m<3 = 180

130 + m<3 = 180

m<3 = 180 - 130

m<3 = 50

Answer:

50 degrees

Step-by-step explanation:

Answer:

x = 90,

3x = 270

Step-by-step explanation:

We have a polygon that has 6 sides. We need to use the formula [tex]S=(n-2)*180[/tex] so we can create an algebraic equation to solve for x.

n = number of sides

[tex]S=(6-2)*180[/tex]

Evaluate

[tex]S=720[/tex]

Now we need to create an algebraic equation to find the value of x.

[tex]3x + x +45+135+45+135=720[/tex]

Add like terms

[tex]4x+360=720[/tex]

Subtract 360 on both sides

[tex]4x=360[/tex]

Divide by 4

[tex]x=90[/tex]

The value of x = 90.

To solve for 3x, the equation means 3 * x. We know what x is, so we just plug in 90.

[tex]3*90=270[/tex]

[tex]3x=270[/tex]

To check our work, add up all angle measures to see if they add up to 720.

[tex]270+90+45+135+45+135=720[/tex]

Answer:

Obtuse

Step-by-step explanation:

If the angle if greater than 90⁰ then it is an obtuse angle

If the angle is less than 90⁰ then it is an acute angle

Hope this helps!

Answer:

Obtuse

Step-by-step explanation:

Obtuse is past 90º

Acute is below 90º

This is past 90º, so it is Obtuse.

HOPE THIS HELPED! HAVE A GOOD DAY!

Answer

6;2;1

Step-by-step explanat

first angle is three times that of the second angle.

second angle is two times that of the third angle.

so first angle is 6 times that of the 3rd angle.

so 6;2;1

Answer:

Below

Step-by-step explanation:

The last choice is false....linear functions can have positive or negative slopes

Answer:

[tex]x=-6\dfrac{7}{8}[/tex]

Step-by-step explanation:

[tex]Solve\:9\:\dfrac{1}{4}\:+\:x\:=\:2\:\dfrac{3}{8}[/tex]

Step 1:
Convert all mixed fractions to improper fractions.
This will make it easier to add and subtract

Mixed fraction [tex]a\dfrac{b}{c}[/tex] can be converted to an improper fraction using

[tex]a\dfrac{b}{c}=\dfrac{a\cdot \:c+b}{c}[/tex]

[tex]9\dfrac{1}{4}=\dfrac{9\cdot 4+1}{4} = \dfrac{37}{4}[/tex]

[tex]2\dfrac{3}{8}=\dfrac{2\cdot 8+3}{8} =\dfrac{19}{8}[/tex]

Step 2:
Replace every mixed fraction in the original equation with its equivalent improper fraction:
[tex]\dfrac{37}{4}+x=\dfrac{19}{8}[/tex]

Step 3
Solve for x

Answer:

The perimeter of this shape is 61.6

Step-by-step explanation:

There are no clear instructions for this question, but the perimeter should be the answer above. I added all side lengths to get this.

Answer: The Answer would be-

                     4.83

Step-by-step explanation:

4 5/6 as a decimal is 4.83

Answer:

C. -6.1, -6 4/9, 6.3..., 630%

Step-by-step explanation:

-6.1 in mixed number form is -6 1/10, making it greater than -6 4/9. This is because, if the numbers were positive, -6 4/9 would be greater than -6.1, but since the numbers are negative, it's opposite.

Therefore, the answer is:

C. -6.1, -6 4/9, 6.3..., 630%

Have a nice day and your welcome! Mark brainliest! <3

Answer:a

Step-by-step explanation:

The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:

c = 0² + 0 + c = c

Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.

If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.

So, the solution(s) of the equation ax² + bx + c = 0 are:

x = (-b ± √(b² - 4ac)) / 2a

Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:

x = (-b ± i√(4ac - b²)) / 2a

where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.

Hence , the quadratic equation is solved

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Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer:

1206.3715789785 feet3

Step-by-step explanation:

Volume =  

1  πr2h

3

=  

1 ×π×122×8

3

=  384π

=  1206.3715789785 feet3

that is how

Answer:

Step-by-step explanation:

Given,
r = 12 ft
H = 8

We know,
Volume = 1πr2H
= 1.π.12.2.8 = 603.186(approx.)

That's the answer!Hope you'll find it helpful!

Answer: V = 4ft^3

Step-by-step explanation:

Answer:

I think it is 2,304

Step-by-step explanation:

Answer: A

Step-by-step explanation:

cakes = x pies = y

total number of cakes and pies sold: 75

so x + y = 75

Total money earned: $340

so $4 of x amount cakes + $5 of pies sold =$340

So,

x + y = 75

4x + 5y = 340

Answer:

 62 26 80  

Step-by-step explanation: