A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
The height of the container is
centimeters. If its diameter and height were both doubled, the container's capacity would be
times its original capacity

Answers

Answer 1

Answer:

cone volume=(1/3)hpir^2

d/2=r

d=12

d/2=12/2=6=r

V=120pi

120pi=(1/3)hpi6^2

120pi=(1/3)hpi36

120pi=12hpi

divide both sides by pi

120=12h

divide 12

10=h cm

if height and diameter is doubled aka height and radius are doubled

V=(1/3)(2h)pi(2r^2)

we want to see how it compares to V=(1/3)hpir^2

V=(1/3)(2h)pi(2r^2)

V=2(1/3)(h)pi4r^2

V=8((1/3)hpir^2)

the volume is increased by 8 times

blanks are

10

8

Step-by-step explanation:

Answer 2

Answer:

The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Hope this helps!

Step-by-step explanation:

A Conical Container Can Hold 120 Cubic Centimeters Of Water. The Diameter Of The Base Of The Container

Related Questions

What is the absolute value of the number indicated on the number line below?

A. -2 2/3
B. 2 2/3
C. -2 1/2
D. 2 1/2

Answers

Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

Find the gcf for 18 36 81

Answers

Answer:

9

Step-by-step explanation:

Factors of 18 : 1,2,3,6,9,18

Factors of 36: 1,2,3,4,6,9...

Factors of 81: 1,3,9...

Ther are 5,290 students at Highline College. If each college classroom holds 50 students, how
many classrooms are needed at Highline College. This is an Order of operation question btw

Answers

5,290 students
50 students per classroom
Then
5,290/50 = 105.8
They need 106 classrooms

Which equation, when solved, glves 8 for the value of x?
5
7
3
3
OA. 2x+ź= 4x+14
OB. 1-9=34-12
OC 41-2=15-4
OD. *-7= x+14
Reset
Ne

Answers

Answer:

C.

Step-by-step explanation:

5/4x-2=3/2x-4

5/4x-3/2x = -4+2

(multiply both sides by 4)

5x-6x=-16+8

-x=-8

(multiply by -1)

x=8

Answer:

C

Step-by-step explanation:

[tex]\frac{5x}{2} +\frac{7}{2} =\frac{3x}{4} +14\[/tex] isolate the terms with the variable x

[tex]\frac{5x}{2} -\frac{3x}{4} =14-\frac{7}{2}[/tex] get the same denominator and combine like terms

[tex]\frac{10x-3x}{4} = \frac{28-7}{2}[/tex] solve

[tex]\frac{7x}{4} =\frac{21}{2}[/tex] crossmultiply and solve for x

[tex]x=\frac{4*21}{7*2} =6[/tex] so is not the first option

try second

[tex]\frac{5x}{4} -9=\frac{3x}{2} -12[/tex] same steps as before

[tex]\frac{5x-6x}{4}=9-12\[/tex]

[tex]\frac{-x}{4} =\frac{-3}{1}[/tex]  so  x=12 not the second option

try third option

[tex]\frac{5x}{4} -2=\frac{3x}{2} -4[/tex]

[tex]\frac{5x-6x}{4} =2-4[/tex]

[tex]\frac{-x}{4} =\frac{-2}{1}[/tex] so x=8

Please help I am struggling. ​

Answers

Answer:

16in

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you add one you get 15, and

Find the unit rate of 1/2 pounds : 5 days

Answers

Answer:

I believe the unit rate for this is 0.1 pounds per day

Step-by-step explanation:

you need to divide 1/2 and 5 to get your answer

Hi guys, do you know where i can get multi choice maths questions for year 9 ?? thanks guys

Answers

Uhh i think you could purchas of teachers pay teachers they have amazing worksheets

PLEASE HELP ME 10 pts lol

Answers

-2 1/12 :) i hope this helps!!

Answer:

-2 83/100       :))))))))))))))

help plsplspls !! :)

Answers

Answer:

I want to say it's -69/100

Step-by-step explanation:

Hope that helps!

-5x-18y=-28 and -10x+9y=-11 solve elimination

Answers

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

Step-by-step explanation:

Given the equations

[tex]-5x-18y=-28[/tex]

[tex]-10x+9y=-11[/tex]

solving the system of the equation by elimination method

[tex]\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56[/tex]

[tex]\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}[/tex]

[tex]-10x+9y=-11[/tex]

[tex]-[/tex]

[tex]\underline{-10x-36y=-56}[/tex]

[tex]45y=45[/tex]

[tex]\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}[/tex]

solve 45y=5 for y:

[tex]45y=45[/tex]

[tex]\frac{45y}{45}=\frac{45}{45}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1[/tex]

solve [tex]-10x-36\cdot \:1=-56[/tex] for x:

[tex]-10x-36\cdot \:1=-56[/tex]

[tex]-10x-36=-56[/tex]

Add 36 to both sides

[tex]-10x-36+36=-56+36[/tex]

[tex]-10x=-20[/tex]

[tex]\frac{-10x}{-10}=\frac{-20}{-10}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

In the diagram, ABCD is a parallelogram. The
diagonals of the parallelogram intersect at point T.
HELP

Answers

Answer:

A. 100 degrees

Step-by-step explanation:

Given:

[tex] m\angle ABC = 3y + 5 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Required:

[tex] m\angle BCD [/tex]

SOLUTION:

✍️First, create an equation that you will use to find the value of y.

[tex] m\angle ABC = m\angle ADC [/tex] (opposite angles of a parallelogram are congruent to each other)

[tex] 3y + 5 = 5y - 45 [/tex] (substitution)

Collect like terms

[tex] 3y - 5y = -5 - 45 [/tex]

[tex] -2y = -50 [/tex]

Divide both sides by -2

[tex] y = 25 [/tex]

✍️Next, find [tex] m\angle ABC [/tex] and [tex] m\angle ADC [/tex].

[tex] m\angle ABC = 3y + 5 [/tex]

Plug in the value of y

[tex] m\angle ABC = 3(25) + 5 = 75 + 5 = 80 [/tex]

[tex] m\angle ADC = 5y - 45 [/tex]

Plug in the value of y

[tex] m\angle ADC = 5(25) - 45 = 125 - 45 = 80 [/tex]

✍️Next, find [tex] m\angle BCD [/tex].

[tex] m\angle BCD + m\angle ADC = 180 [/tex] (consecutive angles in a parallelogram are supplementary)

[tex] m\angle BCD + 80 = 180 [/tex] (substitution)

Subtract 80 from each side

[tex] m\angle BCD = 180 - 80 [/tex]

✅[tex] m\angle BCD = 100 [/tex]

PLS hurry You are playing a video game. For each diamond you collect, you earn 125 points. You also earn 200 bonus points by completing the level in less than 2 minutes. You need to earn more than 2700 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

20 diamonds

step-by-step explanation:

2700-200=2500 divided by 125=20

so 20 diamonds

What is the slope of the line that runs through points (-16, -9) and (7, 14)?

Answers

Answer:

m = 1

Step-by-step explanation:

rise over run

(y2-y1) / (x2- x1)

(14+9)/(7+16)

23/23 = 1

1. Classify the quotient of -35+ -5 as
positive or negative.

Answers

Answer:

-40

Step-by-step explanation:

-35+-5

-35-5

=-40

P.S. You said quotient, a quotient is the answer to a division problem.

Hope this helped! :)

One year after you buy a tree, it is 12 feet tall. Each year after you buy the tree, it grows 4 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?

Answers

Answer:

5 years

Step-by-step explanation:

Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.

28 ft. = 8 ft. + 4x    ... subtract both sides by 8

20 ft. = 4x   ... divide both sides by 4

5 years = x

Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.

How long would it take the two trains to meet?

Answers

Answer: 2.5 hours.

Step-by-step explanation:

Convert 245 yards to inches.​

Answers

Answer:

8820

Step-by-step explanation:

Answer:

245 yards = 8820 inches

Step-by-step explanation:

multiply the length value by 36

You want to enlarge the picture by a factor of 4 from its current size of 5 inches by 7 inches what is the size of the enlarged picture

Answers

Answer:

20 inches by 28 inches

Step-by-step explanation:

The current size of the picture is 5 inches by 7 inches

If we want to enlarge the picture by a factor of 4, the perimeter will also increase by the factor of 4.

New dimension = 4(old dimensions)

= 4(5 inches by 7 inches)

= 20 inches by 28 inches

Hence, the size of the enlarged picture is 20 inches by 28 inches.

MAFS.912.G-C0.3.10
If TW = VW = 23, TU = y + 24 and UV = 9y, what is the value of y?
w
(please answer and give me the work) i have until 8 AM

Answers

Answer:

y = 3

Step-by-step explanation:

Given that,

TW = VW = 23,

TU = y + 24,

UV = 9y

∆TWU and ∆VWU are congruent by SAS Congruence Theorem.

Therefore:

TU = UV

y + 24 = 9y (substitution)

Subtract y from each side

24 = 9y - y

24 = 8y

Divide both sides by 8

24/8 = 8y/8

3 = y

y = 3

What are the zeros of this function?

Answers

the zeros are x=4 and x=6

Determine whether each equation represents
proportional relationship. If it does, identify the
constant of proportionality.
a. y = 0.5x - 2
b. y = 1,000x
c. y=x+1

Answers

Answer:

b) y = 1,000x

If this incorrect sorry

A classroom has 4 bookcases that weigh 174 pounds altogether. If they all weigh the same amount, how much does each bookcase weigh?

Answers

Answer:

43.5

Step-by-step explanation:

174/4= 43.5

what fraction breaks 48 into 8 equal pieces​

Answers

Answer:

48/6 = 8

Step-by-step explanation:

George and five of his friends are taking a trip to new York they decide to split the cost of the tolls equally if the total cost of the tolls is 21 how much would it be

Answers

105 because 21x5 = 105

Is the point (16,20) on line ℓ?


Answers

Answer:

YES

Step-by-step explanation:

Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.

Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.

Substitute ⁵/4 in y = kx

We would have:

y = ⁵/4x.

Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.

Let's plug in (16, 20) into y = ⁵/4x.

Thus substitute x = 16 and y = 20, we have:

[tex] 20 = \frac{5}{4}(16) [/trex]

[tex] 20 = (5)(4) [/trex]

[tex] 20 = 20 [/trex]

It makes the equation true. Therefore, the point, (16, 20) is a point on line l.

It took Scott an hour more than twice as long as Kim to complete his homework. Which expression shows the time it took for Scott to complete his homework in comparison to Kim

Answers

Answer:

2x + 1 = y

Step-by-step explanation:

x = Kim

y = Scott's time.

The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 44 ft, find its area.

Answers

Answer:

112 ft square

Step-by-step explanation:

Perimeter=2l+2w

l=w+6

Perimeter=2(w+6)+2w

44=2w+12+2w

44=4w+12

32=4w

8=w

l=8+6

l=14

area=lw

area=14x8

area=112 ft square

If F(x) =
2x-3/5
which of the following is the inverse of F(x)?

Answers

let the f(x) be x

2x-3/5=y

or,2x-3= 5y

or, x= 2y-3/5

inter changing the relation of x and y

x= 2y-3/5

:. f(x)= 2x-3/5

Step-by-step explanation:

2y-3/5 is the inverse of f(x)

Divide: 2 divided 1/2

2

16

8

4

Answers

Answer:

4

Step-by-step explanation:

2 / 1/2. Flip it. 2*2 which is 4

Hope this helps plz mark brainliest if correct :D

How much sales tax will be charged at Store B?

Answers

Answer:

7 %   $94.50(SALES TAX)   Question only asks for the SALES TAX THOUGH

Step-by-step explanation:

$1350.00 x .07 =$94.50

$94.50 is your sales tax on B

$1444.50 (total) x 15% gratuity  is $1444.50 x .15 = $216.68

$1444.50 + $216.68 =$1661.18  

$1661.18 x .02 =$33.22

$1661.18 + $33.22 = $1694.40 Total cost of your computer repair

Other Questions
4. The fact that the Baleks are exposed by their elevation to the aristocracy is an example of000O ironyO personificationO dramaO foreshadowing Nidhi is facing the garden. She makes a 3/4 turn anticlockwise. She is facing _________ now Kathy is a female triad athlete. She has low body weight and low body weight. For this reason, she is experiencing a loss of menstruation. What is the loss of menstruation called ?A. ExorrheaB. DisorrheaC. AndysseriaD. Amenorrhea What reference material can show that robots also need to rest?Need help please Which of the following is NOT considered a greenhouse gas?Select one:A. Carbon DioxideB. Water VaporC. NitrogenD. Methane According to Ohms law, which combination of units is the same as the unit for voltage?ohm ampereampere ohmohm + ampereampere ohm I NEED HELPPPP YALL on this :) You dissolve 150.0 grams of a mixture of MgCl and KCl in water, add a solution of excess AgNO, and precipitate all of the chloride ion as AgCl. After filtration and drying, you find that you have formed 329.0 grams of AgCl. What is the mass in grams of KCl that was in the original 150.0 grams of mixture? Games that are typically educational games intended for a preschool audience, and do not contain any inappropriate or objectional content. Question 2 options:A T TeenB eC Early ChildhoodC M MatureD E Everyone The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18. 6.9 7.5 10 11 You are an Egyptian trader visiting the Kush city of Meroe. Write a journal entry (3-4 COMPLETE sentences) in which you describe the city, and compare it to your Egyptian home. Class Solve for p. P=?12 = p11 12 Which of the following represents the civic virtue of diversity? (5 points)Group of answer choicesBeing open to the opinions of othersSeeking honesty in oneselfArguing a point based on factFocusing on individual rights Help please............... pls help!!!! will give brainly!!how to say in Spanish:I wash the dishes and I cook dinner. the area of square base of a water tank is 4m and the height of the tank is 2.5m. find the capacity of the tank.in litre 16 points I need help !!!!!!!!!!!!!!!!!!!!!!!!!!!Which points are plotted correctly on their accompanying number line? Check all that apply.Point: Negative StartFraction 7 Over 8 EndFractionA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 1 mark to the right of negative 1.Point: Negative one-halfA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is half-way between 0 and 1.Point : Negative one-fourthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.Point: Negative one-eighthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.Point: Negative 1 and three-fourths A number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.Point: Negative 1 and one-fourth A number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A mark is 2 spaces to the left of negative 1. pls help and tell me what goes where! Which of the following verbal sentences expresses thealgebraic inequality below?I WILL MARK BRAINLIEST2x + 4 < 8 + 4xA. The quotient of two and a number, plus four isless than eight more than the product of four anda number.B. The difference of two times a number and four isless than the sum of eight and the product of fourand a number.C. Four less than the product of two and a numberis less than the sum of eight and four times anumber.D. Four more than the product of two and a numberis less than the sum of eight and four times anumber. what statement best describes a result of the encounter between Europeans and native populations of Latin America