A cylinder has a radius of 4 inches and a height of 5 inches. Which of these dimensions of a cylinder will have the same volume?
Radius: 20 inches
Height: 60 inches


Radius: 2 inches
Height: 20 inches


Radius: 10 inches
Height: 8 inches


Radius: 8 inches
Height: 5 inches

Answers

Answer 1

Answer:

           Radius: 2 inches            Height: 20 inches

Step-by-step explanation:

[tex]R=4\,,\ H=5\ \implies \ \ V=\pi R^2\cdot H=\pi\cdot 4^2\cdot5=80\pi\\\\\\R=20\,,\ H=60\ \implies \ \ V=\pi\cdot20^2\cdot60=24000\pi\ne80\pi\\\\R=2\,,\ H=20\ \implies \ \ V=\pi\cdot2^2\cdot20=80\pi \\\\R=10\,,\ H=8\ \implies \ \ V=\pi\cdot10^2\cdot8=800\pi\ne80\pi\\\\R=8\,,\ H=5\ \implies \ \ V=\pi\cdot8^2\cdot5=320\pi\ne80\pi[/tex]

Answer 2

Answer:

Radius: 2 inches

Height: 20 inches

Step-by-step explanation:

Use the formula V = πr2h to solve the problem.


Related Questions

Please do 1-4 and show work

Answers

Answer: 197/43-4=1

Step-by-step explanation:

if the original quantity is 8 and the new quantity is 2 what is the percent decrease

Answers

Answer:

75%

Step-by-step explanation:

12.5 percent decrease per 1, multiply by 6, =75

Answer:

It’s a 75% decrease

Step-by-step explanation:

2 is 25% of 8 so since 8-2= 6 and 6/2=3 so you’d do 25 x 3 = 75 giving you 75%

Malik and Tasha each worked three days in one week at the grocery store. Each day, Malik worked 2 fewer hours than Tasha. They worked a total of 18 hours that week. Find the number of hours that Tasha worked each day.

Answers

Answer:

Step-by-step explanation:

Firstly, since they worked 18 hours over 3 days, they worked a total of 6 hours each day. Since Malik worked 2 fewer hours than Tasha, we have that Tasha worked (6+2)/2 = 4 hours each day and Malik worked 2 hours each day.

Calculate the quotient.

A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?

What are the answers?

Answers

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

help me please for brainlist

Answers

Answer:

b. 82m³

Step-by-step explanation:

[tex]V = \frac{1}{3}(\frac{1}{2} bh_1)h_2\\b = 8.2m\\h_1 = 4m\\h_2 = 15m\\\\V = \frac{1}{3}(\frac{1}{2}(8.2)(4))(15)\\V = 82m^{3}\\[/tex]

Answer:

B, 82 meters cubed

Step-by-step explanation:

The formula for volume of a triangular pyramid is 1/3Ah, where A = the area of the triangular base, and h = the height of the pyramid.

The area of the base here is 1/2 base x height, so:

1/2 x 8.2 x 4 = 1/2 (32.8) = 16.4 meters squared.

Plug this into the formula for the volume of the pyramid:

1/3 x 16.4 meters squares x 15 meters = 82 meters cubed

What is the equation of the line graphed below ?

Answers

The answer is A. y = -2/5

Paguei 74,00 por uma bolsa e uma sandália. A bolsa foi 23,00 mais barato q a sandália. Qual o preço da sandália?

Answers

Responda:

48,5

Explicação passo a passo:

Dado que:

Custo total de bolsa e sandália = 74,00

Deixei :

Custo da sandália = x

Custo da bolsa = x - 23

Preço da sandália:

x + (x - 23) = 74

x + x - 23 = 74

2x - 23 = 74

2x = 74 + 23

2x = 97

x = 97/2

x = 48,5

Portanto, custo da sandália, x = 48,5

A rectangle is 16m by 4m is similar to a rectangle 2m by Xm.Find the 2 possible values of x

Answers

Answer:
1. Area of rectangle with length 16 cm & width 4 cm=(length)×(width) =(16)(4) =64 cm
2. Area of square of side x= area of rectangle with length 16 cm & width 4 cmx2=16×4 x2=64 x-64--v38
3. Perimeter of square of side x=8 cm is=4x =4(8) =32 cm

Answer:

32cm

Step-by-step explanation:

Area of rectangle with length 16cm and width 4m

= (length) x (width)

= (16)(4)

=64cm

Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012 inches long. If she laid the stickers side by side without gaps or overlaps, how many stickers did she use to cover the length of the spine?

Answers

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = [tex]10\dfrac12[/tex] inches  = [tex]\dfrac{21}{2}[/tex] inches

Length of each sticker = [tex]\dfrac34[/tex] inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = [tex]\text{(Length of spine)}\div (\text{Length of each sticker})[/tex]

[tex]=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14[/tex]

The number of stickers she used to cover the length of the spine = 14.

Write a polynomial with the roots 1 and -7i

Answers

is there information on this?

Pls, HELP ASAP! 10 POINTS!

Answers

Answer:

measure of 1 + measure of 3

Answer:

m∠1+m∠3

Step-by-step explanation:

Since ∠4 is the exterior angle of the given triangle, it is equal to the two remote angles, 1 and 3.

Pleaseeeeeeee helpppppppppppppp

Answers

Answer:

5.x=-2,y=-2

7. y=1 , x=-1  

Step-by-step explanation:

5. x+y=-4 equation 1

    x-y=2   equation 2

x=-2

Equation 1, x=-2

-2+y=-4

y=-2

7.

-3x-4y=-1   equation 1

3x-y=-4     equation 2

-5y=-5

y=1

Equation-1 ,y=1

-3x-4=-1

-3x=3

x=-1

Answer:

5. x+y=-4

   x=-4-y

-4-y-y=2

-2y=6

y=-3

x-3=-4

x=1

7. (1)+(2), -3x-4y+3x-y=-1-4

                             -5y=-5

                                y=1

           3x-1=-4

               x=-1

   

Use the figure above to solve for x

Answers

Answer:

x is equal to 7

Step-by-step explanation:

Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.

We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.

In short, we know that the two values given have a sum of 180.  With that we can quickly solve for x:

(x + 67) + (x + 127) = 180

2x + 194 = 180

2x = -14

x = 7

HELP ASAP PLEASE
Triangle inequality

Answers

Obviously EF

Its acute angle

which would be what the to conecting degrees are

So EF is The anwser!!

MARK ME BRAINLIEST TYYEF

What is the percent of decrease from 1,000 to 400?

Write your answer using a percent sign (%).

Answers

Answer:

400/1000×100%

40% is the percent of decrease from 1,000 to 400.

What are the scale factor and the center of dilation?

Answers

Answer:

Scale factor 2.5, Center of dilation is (-8,3)

Step-by-step explanation:

A dilation is a non rigid transformation. We know that a center of a transformation expect translations mean that it dont matter what change we do to the the pre image to get the new image. The center will stay where it was at all times. Looking at the figure, between the pre image and new image the only point that stays is Point K and point K' . so K is the center of the dilation and that at (-8,3).. Since the pre image is smaller than the new image we know the image scale factor is greater than 1 so the scale factor is expanding. To find the scale let look point K and L we need to find how far are they away from each other and which in this case is 4. Now let look at point K' and Point L'. There distances is 10. You can do the same for K and J. K and J distance is 2 units right and 4 units down. K' and J' distance is 5 units right and 10 units down.

Using this let set a proportion of one point from bigger figure to smaller figure. Distance in current image/ Distance in pre image. Let use K and J so it will be 10/4=2.5 so the scale factor is 2.5

Jon and Ed are discussing their cell phone plan for text messaging. Jon pays $20 a month for his phone and $0.15 per text message he sends. Ed’s cell phone costs $30 a month and $0.10 for each text message. Using the information above determine how many text messages they can send for their bill to be the same

Answers

answer: 200 texts

explanation:
use y = mx + b
y = cost of phone bill
m = price per text
x = # of texts
b = price of phone for the month

jon’s bill: y = .15x + 20
ed’s bill: y = .10x + 30

set them equal to each other bc you want to find how many texts for their bill to be equal

.15x + 20 = .10x + 30 (subtract .10x and 20 from both sides)
.05x = 10
x = 200 texts

Kennedy bought some bracelets for $5.00 and a necklace for $30.00. She spent a total of $55.00 How many bracelets did she buy?

Answers

Answer:

5 bracelets

Step-by-step explanation:

kennedy bought 5 bracelets.

What is the solution
2/3a - 1/6 =1/3
a = 3/4
a = 1/4
a = 7/12
a = 1/6​

Answers

Answer:

2/3a - 1/6 =1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/2=3/4

:.a=3./4

I need help plss help me

Answers

Answer:

NO, It’s not a right triangle

Explanation:

Using the converse of Pythagoras’ theorem if the triangle is right then

Square on longest side = sum of square of the other sides

70^2= 4900

55^2 + 42^2 = 4789

Since 4900 ≠ 4789 not a right triangle

Answer:

No

Step-by-step explanation:

Assuming sides ABC, the values of the angles would be the following.

Angle ∠A = 94.905° = 94°

Angle ∠B = 35.535° = 35°

Angle ∠C = 49.561° = 49°

A right triangle is a triangle with a 90° angle. Therefore, the answer is no.

W-1<4 need help please

Answers

Answer:

5

Step-by-step explanation:

collect like terms

w<4+1

w<5

what is 2 dived by 0.04

Answers

Answer:

50

Step-by-step explanation:

The correct answer is 50

Sara receives a 9% commission on every car she sells. The car dealership paid $20,000 for a car from an auction. The next day they sold the car for 20% more than they paid. How much commission did Sara earn on the selling price of the car?

Answers

Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

Find the area of this figure.
A= cm2

Answers

Answer:

area of rectangle=7×5=35cm²

area of triangle=1/2×4×3=6cm²

Step-by-step explanation:

area of figure=35+6=41 cm²

Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:

b)
2, 6, 18, 54, 162

Answers

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

Please plz help angles inside circles. and segments

Answers

Answer:

the first one

Step-by-step explanation:

Show work for full credit please.

Answers

Answer:

x = 7.5

Step-by-step explanation:

This can be solved via cross multiplying.

6x = 5 × 9 | Multiply the denominators by the respective nominators.

6x = 45 | Multiply 5 × 9

x = 7.5 | Divide 45 ÷ 6 (Division Property of Equality)

Answer:

x=7.5

Step-by-step explanation:

for this you would cross-multiply to get x

6x=9(5)

6x=45

x=7.5

Solving Linear Equations involving Distribution
Solve the linear equation:
3.4 + 2(9.7 - 4.8x) = 61.2
What are the possible steps involved in solving this
equation? Check all that apply.
Add 3.4 and 2.
Distribute 2 to 9.7 and -4.8x.
Combine 3.4 and 19.4.
Divide both sides by 22.8.
Subtract 22.8 from both sides.
Divide both sides by -9.6.

Answers

Answer:

-4

Step-by-step explanation:

3.4+2(9.7-4.8x)=61.2

2(9.7-4.8x)=61.2-3.4

2(9.7-4.8x)=57.8

9.7-4.8x=57.8/2

9.7-4.8x=28.9

4.8x=9.7-28.9

4.8x=-19.2

x=-19.2/4.8

x=-4

Answer:

B, C, E, F

Step-by-step explanation:

B. Distribute 2 to 9.7 and −4.8x.

C. Combine 3.4 and 19.4.

E. Subtract 22.8 from both sides.

F. Divide both sides by −9.6.

I did the question myself these were the answers.

pleeease help will give brainliest

Answers

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Solve for x.
7(x - 3) + 3(4 - x) = -8


x = 25/10
x= -16/19
x= -41/10
O x = 1/4

Answers

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

[tex]x=\frac{1}{4}[/tex]

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