. A solid metal cylinder of radius 5 cm and height 12 cm is melted down and recast into a
cone of base radius 10 cm.
Calculate the height of the cone.

Answers

Answer 1

Answer:

H = 9 cm

Step-by-step explanation:

The volume of the cylinder equal the volume

[tex]\pi\: \: {r}^{2} \times hcy = \frac{1}{3} \pi {r}^{2} \times hco \\ hco = 9 \: cm[/tex]

Answer 2

The height of the cone is 9 cm.

The volume of the cylinder = The volume of the Cone

This is because the exact metal cylinder was recast into a cone.

Volume of a cylinder:

volume = πr²h

r = 5 cm

h = 12 cm

volume = π × 5² × 12

volume = π × 25 × 12

volume  = 300π

Volume of a cone:

volume = 1 / 3 πr²h

r = 10 cm

h = ?

300π = 1 / 3 × π × 10² × h

300π = 100πh / 3

900π = 100πh

h = 900π / 100π

h = 9 cm

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Related Questions

express in exponential form 200×75​

Answers

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the median low temperature in International Falls for the first week of the month?
6 -9 -29 -31 -8 4 3
anwsers
a -9
b -9
c -8
d -31

Answers

-31,-29,-9,-8,3,4,6. Median = -8. Answer is C

please help
travelling 14m to the right first and travelling 19m to the left . calculate the final position

Answers

Answer:

5 meters to the left

Step-by-step explanation:

Given that :

First travel : 14 meters to the right

Second travel : 19 m to the left

Final position :

First travel - Second travel.

(14 m - 19m)

Final position = - 5 m

-5m = 5 meters to the left.


3 pencils cost $0.45. What is the cost per pencil?

Answers

Answer:

0.15

Step-by-step explanation:

cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report

Answers

Answer:

[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1

Step-by-step explanation:

Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolution

Let's rewrite the given as:

[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]

Let the value is m and the expressions under 3rd roots are a and b, then we have

a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛b

Cube the both sides:

m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]

Simplify in bits:

a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5

So the expression becomes:

m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15m

Solve for m:

m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real roots

The answer is 1

What is the slope of the line
help me plz ​

Answers

Answer: 2/3

Step-by-step explanation:

y=mx+b

Answer:

2/3

Step-by-step explanation:

the equation is in y=mx+b form and m=slope so 2/3 would be the slope.

hope this helped :)

Find the slope of the line y=-6x-4. Type your answer as an integer.

Answers

Answer:

The slope is -6

Step-by-step explanation:

In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept

Therefore, -6 is slope and -4 is y-intercept



Find the Surface Area of the following figure:
16 ft
10 ft
7 ft

Answers

Answer:

1120

Step-by-step explanation:

Jaxson drives 15 miles in 10 minutes. If he drove one hour in total at the same rate, how far did he go?

Answers

Answer:

90 miles

Step-by-step explanation:

15 miles/10 minutes = x miles/60 minutes

10*6=60 so 15*6=90  


Plzzzz help ASAP!!!!!!

Answers

Answer:

J+9=S

Step-by-step explanation:

Answer:

j+9=s

Step-by-step explanation:

Help me plsssss!!!!!!!!

Answers

Answer:

use math -way it helps a lot

Step-by-step explanation:

HELP PLS I GIVE BRAINLIEST

Answers

Answer:

1. $200

2. $65

3. $70

Step-by-step explanation:

1. 4x50=200

2. 200-135= 65

3. 135-65= 70

Simplify: (9a* - 5a'-1)+7a*

Answers

Answer:

The answer is -2a because first you multiple the number and eliminate redundant perenthese then last combine like terms and that how you get -2a

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.​

Answers

Answer:

this will be the correct answer

Solve the equations
3a + b = 10 and 2a + 4b =0.
3a + b = 10
2a + 4b=0​

Answers

Answer:

a = 4 , b = -2

Step-by-step explanation:

3a + b = 10

2a + 4b = 0

(By using elimination method, eliminate one variable) - to get only one equation

(3a + b = 10 ) 4

2a + 4b = 0

12a + 4b = 40

(minus)

2a + 4b = 0

10a = 40

a = 40/10

a = 4

(substitute a into an equation to get b)

2a + 4b = 0

2(4) + 4b = 0

4b = 0 - 8

b = -8/4

b = -2

. A and B are vertical angles. If mA = (5x – 28) and
mB = (3x + 4)º, find the measure of each angle.

Answers

Answer:

measure of both angles is 52°

x = 16

Step-by-step explanation:

5x - 28 = 3x + 4

2x - 28 = 4

2x = 32

x = 16

Plug in 16 for 'x': 3(16) + 4 = 48 + 4 = 52°

Answer:

Both are 56°

Step-by-step explanation:

5x-28=3x+4

x=16

5(16)-28= 56°

HELP ASAP. pls ‍❤️‍‍ if u do this i’ll luv u 4ever

Answers

Answer:

A' ( 2,3)

B' ( 5,5)

C ( 7,3)

D'(5,2)

A snail travels at an average speed of 0.1 feet per hour for 15 minutes. How many feet will the snail travel?

Answers

Answer:

1.5 Feet

Step-by-step explanation:

15 x .1 = 1.5

Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.

Answers

Answer: 14.66 in

Step-by-step explanation:

What does the graph of a geometric sequence look like?

Answers

here is one I hope this helps lol I'll follow u if u follow me

Which relation is a function?
A. (1, 0), (3.0), (1.1), (3, 1) (1.3)
B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)
D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)

Answers

Answer:

A

Step-by-step explanation:

function is a relationship between inputs where each input is related to exactly one output.

A function can be one-to-one and many-to-one but can not be one-to-many.

The relation that is a function is

(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),

Option B is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function can be one-to-one and many-to-one but can not be one-to-many.

A. (1, 0), (3.0), (1.1), (3, 1) (1.3)

This is not a function because we have one-to-many.

(1, 0) and (1, 1) are one-to-many.

B. (1, 1), (2, 2), (3, 3), (4, 4). (5, 8).

This is a function because it satisfies the function.

The given relation are one-to-one.

C. ( 2, 7), (6,5), (4.4), (3, 3), (2, 1)

This is not a function because we have one-to-many.

(2, 7) and (2, 1) are one-to-many relations.

D. (9. -3), (19, 3) (4, -2), (4, 2), (0, 0)

This is not a function because we have one-to-many relations.

(4, -2) and (4, 2) are one-to-many relations.

Thus,

The relation that is a function is

(1, 1), (2, 2), (3, 3), (4, 4). (5, 8). C. ( 2, 7),

Option B is the correct answer.

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Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Write an equation to represent this problem and then solve it. Show all your steps.

Answers

Answer:

30 minutes each evening

Step-by-step explanation:

5.25 / 7 = 0.75 hours each day = 45 minutes

45 - 15  = 30 minutes

What is the slope of the line that passes through the points (10,8) and (-15,18) wrote the answer in simplest form

Answers

Answer:

-2/5

Step-by-step explanation:


The point (2, 20) lies on the graph of y = kx'. Write the value of k.

Answers

Step-by-step explanation:

Y = 20 , X = 2

put in the equation

Y = KX ( given )

20 = K × 2

20/2 = K

10 = K

To get into an amusement park, people have to pay an entrance fee. Then they pay additional amount for each ride
(every ride costs same amount of money). John rode 8 rides and spent a total of $32 (including the entrance fee). Michael
rode 11 rides and paid $41. How much was the entrance fee and the cost of each ride?

Answers

Answer:

entrance fee: $8

cost of each ride: $3

find the value of y

Answers

Answer:

Step-by-step explanation:

[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]

Answer:

The answer is

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

By using Pythagoras

Then

[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]

My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest

Answers

Answer:

MONDAY: 2 hours

Tuesday: $34.65

Thursday: -54

Friday: 5 complete bags

Sorry that I did not do the question below wednesday but I still hope this helps.

Pls mark me brainliest.

What is the slope of a line parallel to the line with equation 2x+4y=8

Answers

Answer:

m = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

2x + 4y = 8

4y = -2x + 8

[tex]y=\frac{-2x +8}{4}[/tex]

[tex]y=\frac{-2}{4}x+\frac{8}{4}[/tex]

[tex]y=\frac{-1}{2}x+2[/tex]

The slope is the coefficient of the x term, so

m = [tex]\frac{-1}{2}[/tex]

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2x+4y=8

4y = -2x +8

y = [tex]-\frac{2}{4}[/tex]x + [tex]\frac{8}{4}[/tex]

y = [tex]-\frac{1}{2}[/tex]x + 2

y=mx+b so the slope is m=[tex]-\frac{1}{2}[/tex].  

parallel lines have the same slope.

Find the length of side x in simplest radical from with a rational denominator.​

Answers

Answer:

4

Step-by-step explanation:

The value of the hypotenuse x will be equal to √6.

What are trigonometric identities?

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,

cosθ = Base / Hypotenuse

cos45 = √3 / x

x = √3 / ( 1 / √2)

x = √6

Therefore, the value of the hypotenuse x will be equal to √6.

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A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What is the total cost of the helmet?

Answers

Convert 30% to a decimal by dividing by 100 = 0.30

Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.

50-15 = $35, the sale price of the helmet.

For the sales tax, again, convert to a decimal by dividing by 100 = 0.06

35 x 0.06 = 2.10, the amount of sales tax

$35 + $2.10 = $37.10, total cost with tax
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