A frustum is formed when a plane parallel to a cone's base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5. Which expression represents the volume, in cubic units, of the frustum? One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)

Answers

Answer 1

Answer: C. 1/3π(7.52)(19) – 1/3π(3.52)(8)

Step-by-step explanation:

took the test and got 100

Answer 2

The expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

What is the Volume of a Frustum?

Volume of a frustum = Volume of bigger cone - volume of smaller cone = 1/3πR²H - 1/3πr²h

Given the following dimensions:

R = 7.5 unitsH = 11 + 8 = 19 unitsr = 3.5 unitsh = 8 units

Applying the volume formula, we have:

Volume of the frustum = 1/3πR²H - 1/3πr²h = 1/3π(7.5²)(19) - 1/3π(3.5²)(8)

Thus, the expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

Learn more about volume of frustum on:

https://brainly.com/question/1273042


Related Questions

A foot ball field measures 100m by 72m. A school marks a football field similar in shape to a fullsize football field but only 30m long. What is its width?

Answers

Answer: 21.6 m

Step-by-step explanation:

Given

A football field measures [tex]100\ m\times 72\ m[/tex]

If a football field similar in shape to a full size  has a length [tex]l=30\ m[/tex]

The ratio of the length of the original to the small field is the same

Assume the width of the small field is  w

[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]  

Thus, the width of the field is 21.6 m

A recipe calls for using 3/4 cup of brown sugar for each 2/3 cup of white sugar. How many cups of white sugar are used per cup of brown sugar *I will give brainlist

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

HELP ME PLS‍♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??

Answers

Answer:

Natural numbers , whole numbers, Integers

Natural number whole number integers

The picture shows the letter T that is painted on a window at Taylor elementary school.

4ft.
—————
| |2ft
| |
|. |
|. |
|. |. 5ft
|. |
———
2ft
What is the area of this letter T? Enter the answer in the box.
______
|_____|

Answers

Answer

13ft

Step-by-step explanation:

4ft.+2ft.+5ft=2ft.=13ft

Given that (√3)^n = 3^x/27^y^1
express n in terms of x and y.​

Answers

⟰ ANSWER ⟰

U R ANS IS IN THE PIC

HOPE IT HELPS U !!!! (^_^)

QUESTION IS THE PICTURE

Answers

Answer:

(3,0), (0,3)

Step-by-step explanation:

OFFERING 50 POINTS
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material. These scales are used for this type of testing.

Fabric Grade Number of Double Rubs
(in thousands)
Heavy duty
Medium duty
Light duty
Delicate duty
After performing the tests on each fabric, researchers found that on average, fabric A lasted through 7,900 double rubs and fabric B lasted through 9,200 double rubs.

The marketing department wants to advertise that both fabrics are tested and approved for medium-duty use.

Which statements are true about this situation?
The sales department can refer to fabric A as a medium-duty fabric.
The sales department can refer to fabric B as a medium-duty fabric.
Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
Neither fabric meets the requirements of a medium-duty fabric.

Answers

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

We have given that,

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

What is the experiment?

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.

To learn more about the experiment visit:

https://brainly.com/question/17274244

#SPJ2

Answer:

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

The sales department can refer to fabric B as a medium-duty fabric.

Step-by-step explanation:

edmentum :)

Can somebody please help me?

Answers

Answer:

TRUE!!!!!!!!!!!!!!!!!! BRANLIST

Step-by-step explanation:

I really need help with this! I'm having a bit of trouble understanding how to do this since the teacher kind of rushed on explaining things.

Answers

Answer:

For problem one:

a. 11

b. 3/11

c. 2/11

d. there are only 2 chips

e. 3/11

Simplify the algebraic expression:

7(x + 3)20

Answers

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

The descriptions below outline different payment options for Ashley's dog-walking business. Use x to represent the number of days she walks a dog and y to represent her earnings. For each equation and graph, drag the situation that can be modeled by that relationship into the space in that row.

Answers

Answer:

Step-by-step explanation:

y = 2x - 2 (Linear)

Here, x = number of days

y = Total payment

Ashley paid $2 each day and gives $2 to her brother.

y = 2x²

This quadratic relation represents the total payment 'y' is twice as much as the number of days times itself.

y = 2ˣ

Exponential function represents that the total payment is twice as much as the number of days times itself.

A function is a mathematical rule which can be assigned a value.

What is a function?

A function in mathematics is a rule that can be assigned a value. We shall now procced to find out which function can be classified as shown.

Ashley paid $2 each day and gives $2 to her brother - This is a quadratic function and has the equation; y = 2x²

The total payment is twice as much as the number of days time itself - This is a linear function with the equation - y= 2x - 2 y = 2x²

The total payments starts at $2 each day and doubles for each day - this is a exponential  function with the equation y = 2ˣ

Learn more about fuctions: https://brainly.com/question/9813642

i need help please help me im struggling please show WORK and tell me how to do it NO links please.
-7y + 3 = -25
check your solution

Answers

Answer:

- 7y +3 =-25

-7y=-25—3

-7y=-28

-7y÷-7= -28÷-7

y=4

Step-by-step explanation:

Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.

Translate (-3, 1) to the right 1 unit.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
OD
?

Answers

Answer:

(2,1)

Step-by-step explanation:

When we translate to the right, we are simply adding a value to the x axis value corresponding to the units of translation

We have the translation by 1 unit, so we are to add 1 to the value of the x-coordinate

Thus, we have this as ;

(-3 + 1, 1)

= (-2,1)

When we reflect a point (x,y) over the y-axis, its new coordinates become (-x,y)

Applying this to what we have above, the coordinate of the final point will be (2,1)

The polynomial p(x) = x3 – 6x2 + 32 has a known factor of (2 - 4).
Rewrite p(x) as a product of linear factors.

Answers

Answer:

x3-6x2+32

Step-by-step explanation:

. Zeus had saved 105 coins from his daily allowance. If the coins consist of ₱5 and ₱10 amounting to ₱850, how many of each kind of coin did he save?

Answers

Answer:

hahshdbdbdbd 950kejejd

Answer:

40 and 65 respectively

Step-by-step explanation:

let no. of P 5 be x

and p 10 be y

now

x + y = 105

or, x =105 - y....(!)

again

5x + 10y = 850

or , x =( 850 - 10y)÷5....(!!)

from equation (i ) and (ii)

105 - y = (850 - 10y ) ÷ 5

or, (105 - y)5 = 850 -10 y

or, 525 - 5y = 850 - 10y

or, 10y - 5y = 850 - 525

or, 5y = 325

or, y = 65

now,

x = 105 - 65

x = 40

hence ,

P5 = 40

p10 = 65

You want to buy two new seat covers for your car. The seat covers cost $1.75 each. The tax for your purchase is 7%. How much money will you have to spend? Round to the nearest hundredth​

Answers

Answer:

I think its 3.745

Step-by-step explanation:

multiple 1.75 by 2 makes 3.5

divide 3.5 by 100

multiply by seven

add 3.5

Answer: $3.75

Step by step solution: See photo

Please help!!!! I need this done tonight

Answers

Answer:

x = 15

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like temrs

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

Answer:

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

HURRY FAST !!!!!!
If the area of a square is 33.64 square yards, what is the length of one of the sides?

Answers

Answer:

5.8 is your answer mate

Step-by-step explanation:

hello

Find the volume of a cylinder with radius 7 and height 4*

Answers

The volume of cylinder is 616 cm^3.

correct 24.3318 to two decimal places

Answers

24.33 is the answer to this question

Find the measure of
А
E
103°
270
50°
35°
D
B
C

Answers

Answer:B

Step-by-step explanation:

A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6

Answers

Answer:

0% chance

Step-by-step explanation:

if the cube is 1-6 then 6 is the highest number. there is non higher.

If cot0 =4/3 find csc0

Answers

Answer:

[tex]\mathrm{d. \csc \theta =\frac{5}{3}}[/tex]

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\cot\theta =\frac{4}{3}[/tex] as given in the problem, then [tex]\tan \theta =\frac{3}{4}[/tex], because [tex]\tan \theta =\frac{1}{\cot \theta}[/tex]. Therefore, the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse.

Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h) and since [tex]\sin \theta =\frac{1}{\csc \theta}[/tex], we have:

[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{\frac{3}{5}}=\boxed{\frac{5}{3}}[/tex]

What's the area of the figure?

Answers

Answer: it should be 252 in.

Step-by-step explanation:

This year, Mr. Thomas will earn 15% more than he did last year. If he earned $50,000 last year, how much will he earn this year?

Answers

$57,500 is the answer

Someone please please help and
Thanks so much

Answers

The thing is higher so type it in like that it will work

Which scenario could be modeled by the equation 2x+12=40

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2x + 12 = 40}[/tex]

[tex]\large\text{SUBTRACT 12 to BOTH SIDES}[/tex]

[tex]\large\textsf{2x + 12 - 12 = 40 - 12}[/tex]

[tex]\large\text{CANCEL out: \textsf{12 - 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{40 - 12} because that helps solve for \textsf{x}}[/tex]

[tex]\large\textsf{40 - 12 = \bf 28}[/tex]

[tex]\large\text{New EQUATION: \textsf{2x = 28}}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{28}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{28}{2}}\large\text{ because gives you the value of x}[/tex]

[tex]\mathsf{x = \dfrac{28}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf \huge x = 14}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Delroys sail boat has two sails that are similar triangles. The larger sail has sides of 10ft 24 ft and 26 ft. If the shortest side of the smaller sail measures 6 feet what is the perimeter of the smaller sail?

Answers

mx+b=m^2

That’s what I got

Answer:

36ft

Step-by-step explanation:

HELPPPPPPPP ASPPPPPPP PLssss

Answers

The Answer is gonna be B. 324 square centimeters

Explanation :

A=b x h

A=27 x 12

A=324

This is the Answer for your question :3

Charlene's age is 4 less than 3 times Mary's age, x.
Which expression represents Charlene's age?

O A 3X - 4

OB. 3(x-4)

O C. 4X-3

OD. 4 - 3x

Answers

The answer would be A

The solution is Option A

The equation of Charlene's age is 3x - 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let Charlene's age be C

The age of Mary is = x

Now , the equation is

Charlene's age is 4 less than 3 times Mary's age

Substituting the values in the equation , we get

C = 3 x ( Mary's age ) - 4

On simplifying the equation , we get

C = 3x - 4    be equation (1)

Therefore , the value of C is 3x - 4

Hence , the age of Charlene's age is 3x - 4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Other Questions
What Percent Of the Whole is shaded? Frida Kahlo painted herself wearing ethnic clothing in her self-portraits. The influence of _________ folkloric art on her work can be seen in her use of bold colors and the ex-voto style. FrenchMexicanSomalianItalian What do you know?,What do you want to know?,How will you learn?,What have you learned? What is the measure of ZA?A [?] degrees8735BEnter Emily is solving the following System of equations using Substitution:y=3x-4y=2x+1Her steps are shown below.Part AClick on the first step in which Emily made an error. 3x-4=2x+15x-4=15x=5x=1y=3(1)-4=3-4=-1(1,-1)Part BExplain what Emily did wrong and then what she should have done to make sure it was the correct answer. What is the quotient of 1.44 x 108and 6.0 x 105 expressed in scientific notation?Delta math The relationship between the federal and state court systems in the United States is fairly unique. In one or two paragraphs, describe the advantages and disadvantages of a dual court system. Be sure to describe at least one benefit and one disadvantage, and explain your answer thoroughly using information about both court systems. Fill in the blank, both are the same answer._____ ______ is the legal requirement that the state must respect all legal rights that are owed to a person. _____ ______ balances the power of law of the land and protects the individual person from it. the rise of the Ku Klux Klan in the 1920s was a rise against...A. capitalismB. immigration groups arriving in the US and new modern values that threatened traditionC. new immigration laws passed in 1924D. the nativist movement that protested against new immigrant groups Answer question in picture no one helped me with the last one so can SOMEONE HELP ME NOW Find the measure of an angle in standard position for each reference angle. W.W.I began when...Germany declared war on BritainAustria-Hungary declared war on FranceAustria-Hungary declared war on SerbiaFrance declared war on Germany Who are fighting against human trafficking Select the correct phrases in the passage.Which words in the passage from the Declaration of Independence show the influence of the Enlightenment idea of natural law?We hold these truths to be self-evident that all men are created equal, and that they are endowed with their Creator with certain unalienablerights, that among these are life, liberty, and the pursuit of happiness. That, to secure these rights, governments are instituted among men,deriving their just powers from the consent of the governed. That, whenever any form of government becomes destructive of these ends, it isthe right of the people to alter or to abolish and to institute new government, laying its foundation on such principles, and organizing itspower in such form, as to them shall seem most likely to effect their safety and happiness.ResetNext How many grams of HCl(aq) are required to react completely with 1.25g of Zn(s) to form ZnCl2(aq) and H2 y= 4x + 2y= 4x + 6How many solutions What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary. What is the Ksp expression for the dissociation of calcium oxalate?Immersive Reader(4 Points)Ksp=[Ca] x [CO]Ksp=[Ca] x [CO]Ksp=[Ca] x [CO]Ksp=[Ca] x [CO] Mandy was painting a mural in the shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. What was the area of the mural?5034 ft60 sq ft17 ft