the graphs below have the same shape. What is the equation of the blue graph?

The correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

[tex]V=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

where 'r' is the radius of the base of the cone and 'h' is height of the cone

For given example,

The volume of the cylinder is 84 pi inches cubed.

Let [tex]V_1[/tex] represents the volume of the cylinder.

[tex]V_1=84~~cu.in.[/tex]

Using the formula of the volume of the cylinder,

[tex]V_1=\pi\times r^2\times h[/tex]

where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder

Let [tex]V_2[/tex] be the volume of the cone.

Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.

Using the formula of the volume of the cone,

[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]

This means, the volume of the cone is One-third the volume of the cylinder.

[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]

This means, the expression 84 pi over 3 finds the volume of the cone.

[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]

This means, the volume of the cone is less than the volume of the cylinder.

Therefore, the correct statements about the volume of the cone are:

- The volume of the cone is One-third the volume of the cylinder.

- The expression 84 pi over 3 finds the volume of the cone.

- The volume of the cone is less than the volume of the cylinder.

Learn more about the volume of the cylinder and the volume of the cone here:

https://brainly.com/question/16007458

#SPJ2

Answer:

450 grams of plums per container

Step-by-step explanation:

Since you have to convert the 36 kilograms to grams, it will make it 36,000 grams.  You have to divide it into 80 boxes, so 36,000/80 is 450, so 450 it is.

Step-by-step explanation:

here <D+<B=180

sum of two opposite angle of the cyclic quadrilateral is 180

x+28=180

x=180-28=152°

angle A=x-36=152-36=116°

Answer:

x= -3 y =1

Step-by-step explanation:

Ann will pay in taxes on her purchase of $76, if Lexi paid a charge of  $17 in taxes when she bought these outfits for $200, is $6.46.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Lexi paid a charge of  $17 in taxes when I bought these outfits for $200,

Calculate the charge in one dollar = 17 / 200

Now, calculate the charge for $76 dollar = 17 / 200 × 76

The charge for $76 dollar = $6.46

To know more about division:

https://brainly.com/question/27566440

#SPJ2

What is 2?

the question is not clear

Answer: b=-9

Step-by-step explanation:

1. divide both sides

2.move the terms

3.collect like terms, calculate

4.change the signs

Answer: Yes, when they each but 4 shirts they will both have a total of 129$

Step-by-step explanation:

Answer:

740.48

Step-by-step explanation:

multipky

qeta ssbeni rpnedjo e  

adwdaee  icsoch

Answer:

100:20 or 100/20 or 100 to 20

Answer:

The average or mean of the two fights would be 19.5

Step-by-step explanation:

Basically all you have to do for this problem is add the total scores of the two fights and then divide by 2 to find your mean. 32 plus 7= 39/2= 19.5

Answer: sorry I dont know!

Step-by-step explanation:

Answer:

2√3

Step-by-step explanation:

√3x4 = √12 = 2√3

Answer:

9x^8

Step-by-step explanation:

good luck!!

Answer: 52.

Step-by-step explanation:

52x2=104

104-60=44

44/11=4

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

Answer: Yes they are

Yes, they are because when you simplify both of them, they both give you 1:2 which proves they are equivalent.

2:4-->1:2

5:10-->1:2

Hope this helps you!

Answer:

Yes they are

Step-by-step explanation:

Answer: 1380 g

Step-by-step explanation: volume of cube is 8 ·8 · 8 cm³ = 512 cm³.

Weight m = density × volume = 2.7 g/cm³ x 512 cm³= 1382.4 g

Answer:

Should be store B :) The unit rate for store A (rounded) is 0.11 and the rounded unit rate for store B is 0.10

Step-by-step explanation:

Answer:

Store B has the better deal

Unit rate:

Store A = $0.11

Store B = $0.10

Step-by-step explanation:

Store A :

8pencils = $0.89

1 pencil = $0.89/8 = $0.111

Store B:

12pencils = $1.25

1 pencil = $1.25/12 = $0.104

Store B sells 1 pencil at $0.104 and store A at $0.111

Therefore Store B sells the better deal.

Answer:

X-290

X=70

Step-by-step explanation:

Answer:

sum of interior angles - 540

x = 112

Step-by-step explanation:

Hello There!

Geometry

The sum of the interior angles can be found using this formula

let x = sum of interior angles and n = number of sides

x = ( n - 2 ) * 180

there are 5 sides so we plug in 5 to n

5 - 2 = 3

3 * 180 = 540 so the sum of the interior angles is 540

Now to solve for x

Remember the sum of the interior angles is 540 so we use this equation to solve for x

Simple Algebra

540 = x + 118 + 105 + 75 + 130

step 1 combine like terms

118 + 105 + 75 + 130 = 428

now we have 540 = 428 + x

step 2 subtract 428 from each side

540 - 428 = 112

we're left with x = 112

Answer:

2(n)+9

Step-by-step explanation:

N is 9 btw

Answer:

Yes. it is 509/56

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

256 m^2

Step-by-step explanation:

Answer:

Perimeter of the board

Step-by-step explanation:

That measurement of "the border of her bulletin board" is actually the perimeter of the board.

Answer:

t= 41.2 minutes

Step-by-step explanation:

[tex]16=290(0.5)^{\frac{t}{10} }[/tex]

Divide by 290 to get the exponential expression alone

[tex]\frac{16}{290} \\\frac{8}{145}=(.0.5)^{t/10}[/tex]

Use Logs to solve

[tex]x=a^{y}[/tex] is equal to [tex]y=log_{a} x[/tex]

[tex]\frac{t}{10} =log_{0.5} \frac{8}{145}[/tex]  (put in calculator)

[tex]\frac{t}{10} = 4.18[/tex]

t= 41.2 minutes

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × Base × Height

Mr.Eastman drew triangle JKL,with a height of 12 inches and a base of 12 inches

Area of JKL = 1/2 × 12 inches × 12 inches

= 72 Square inches

triangle XLZ, with a height of 8 inches and a base of 16 inches. Which triangle has the greater area?

Answer:

Since we know the slope is the value multiplied by x , the slope is −1.

Step-by-step explanation:

We can rewrite this equation as:

y=1x+0

The slope-intercept form of a linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept value.

For this equation:

y=1x+0

Therefore:

The slope is m=1

The y-intercept is b=0 or (0,0)

I hope this helps      :)