A cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm. What is the height of the cone?
A) 95 cm
B) 115 cm
C) 125 cm
D) 135 cm

Given:

The expressions are:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

To find:

The simplified form of the given expressions.

Solution:

We have,

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

It can be written as:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{12a^{2+1}bc^3}{40b^4c^2}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{3-2}}{10b^{4-1}}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{1}}{10b^3}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{3a^{3}c}{10b^3}[/tex].

We have,

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

It can be written as:

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{(x+y)(x-y)}{4(x+y)}\cdot \dfrac{x+y}{x-y}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{x+y}{4}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{x+y}{4}[/tex].

Answer:

2.268 tons

Step-by-step explanation:

Multiply 840 to 2.7 to figure out the weight of 840 bricks.

840 x 2.7 = 2268 kilograms

Convert 2268 kilograms into tons which will be 2.268 tons.

How did I convert? Divide 2268 by 1000 because 1 ton = 1000 kilograms.  

Answer:

hgfxjdt

Step-by-step explanation:

Answer:

x = 3/2

Step-by-step explanation:

Simplify this equation by dividing all three terms by 1/4:

2x - 1 = 2, or

2x  = 3

Then x = 3/2

Answer:

7) b, c, f

8) b, d, e

Step-by-step explanation:

Hope this helps!

Answer:

[tex]14/50\\[/tex]

Step-by-step explanation:

The equation for sine is sine = opposite/ hypotenuse

The opposite of W is 14 and the hypotenuse the the side across the 90° angle, which is 50.

So, when you set up the equation it should be [tex]14/50[/tex].

Answer:

hi

Step-by-step explanation:

hi

Answer:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Step-by-step explanation:

We proceed to explain the context on each case and answer appropriately:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Answer:

40%

Step-by-step explanation:

Answer: 50, 60, Less.

Step-by-step explanation: The theoretical probability of the coin landing heads up is 50%

Based on​ Liz's results, the experimental probability of the coin landing heads up is 60

The theoretical probability is less than the experimental probability in this experiment.

Hope this helped have a nice day!

Answer:

nth term: n+6

Step-by-step explanation:

a1 gives -7 and a2 gives -1. Let's compare these two numbers. From -7 to -1, we need a +6. Since -7 + 6 = -1.

a2 to a3, -1 + 6 = 5

a3 to a4, -5 + 6 = 11

Answer:

3,080 cm

Step-by-step explanation:

simple -. -

Answer:

1/3

Step-by-step explanation:

From the figure, we know that the median of Amy is 40 and the median of Megan is 35.

Therefore the difference in their medians is = 40 - 35

                                                                         = 5

We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25

                                           = 15

So, the difference of the medians is the multiple of the interquartile range.

So the multiple is = 5/15

                             = 1/3 (IQR of Megan)

Answer:

Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.

Step-by-step explanation:

The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.

This shows that the difference of the medians is about 1 times, or nearly equal to, the interquartile range of either data set.

For Genivieve, the multiple is 1:

9 = m(9)

m = 1

For Mindy, the multiple is 1.125:

9 = m(8)

m = 1.125

(This is the answer on edumentum)

Answer:

1. 1/13,300

2. 1/13,300

3. 2607/2660

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.

Given that there are 400 containers of frozen orange juice with 4 that are defective,

non-defective = 400 - 4 = 396

Probability of selecting

Non-defective  = 396/400 = 99/100

Defective = 4/100 = 1/100

the probability that the second one selected is defective given that the first one was defective is the same as  the probability that both are defective

= 4/400 *3/399

= 1/13,300

the probability that both are non-defective

= 396/400 * 395/399

= 99/100 * 395/399

= 33*79/20*133

= 2607/2660

Answer:

3x=105,x°+2x°+75°=180°,and 3x°+75°=180°

Step-by-step explanation:

no explanation sorry,your welcome

Answer: not sure

Step-by-step explanation:

Answer:

1/67

Step-by-step explanation:

Complete question

If X+2/3x is equal to 45. find the value of x​

Given the equation

x+2/3x = 45

Cross multiply

x+2 = 3x(45)

x+2 = 135x

x - 135x = -2

-134x = -2

x = 2/134

x = 1/67

Hence the value of x is 1/67

Answer:

22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3

Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is

= 54 × 5 ÷ 12

= 22.5 pounds

Answer:

45

Step-by-step explanation:

the correct choice is C.

Answer:

10a-3b is your answer

Step-by-step explanation:

7a - 3(b - a)

7a-3b+3a

10a-3b

answer:

50/50

step-by-step explanation:

hi there!

flip a coin a couple of times, most likely get the same number of heads then you will of tails, since a coin has 2 sides and only two equal sides the probability to flip that very coin and it landing on heads is 50 percent same as landing it on tails, we know its 50 percent because 100 percent is the full amount ( no matter how much the coin is worth ) and dividing that by 2 does indeed equal 50 or 50 percent.

i believe that is one of the reasons why before a lot of sport games start off with a coin toss to chose which team plays first because it is a 50/50 chance for each team, making it fair toss

i hope this helps you! i hope you have a good rest of your day! :)

A.) Similar?  YES  

Why or why not?  It is similar because as your can see in the picture above, it shows a large triangle and a small triangle. On the smaller triangle, the corner "G" has a degree of 67. On the larger triangle, the corner "P" has the same degree as the smaller one, therefore all the other corners have the same degree making the missing degree for "R" 34 degrees, and the missing "C" 79 degrees.  

If so, *similarity statement and scale factor: SF:  1.5  

*I didn't know what they meant by similarity statement

B.) Similar?  NO  

Why or why not?  The triangles are two totally different shapes, with totally different degree angles, making it totally different  

If so, *similarity statement and scale factor: SF:  2  

*I didn't know what they meant by similarity statement

C.) Similar?  NO  

Why or why not?  The triangles are two totally different shapes, with totally different degree angles, making it totally different  

If so, *similarity statement and scale factor: SF:  1.2  

*I didn't know what they meant by similarity statement

D.) Similar?  YES  

Why or why not?  They are the same shape; just with one enlarged and one decreased in size. They both have the same angle degree and everything else similar but the size of the shape.  

If so, *similarity statement and scale factor: SF:  2  

*I didn't know what they meant by similarity statement

**To find the scale factor you would have to divide the big number, to the smaller number... Like for figure D, the base of the BIG triangle is 56, and the small triangle is 28. 56 ÷ 28 = 2 Making 2 the SF (Scale Factor)

Answer:

it should be by mult by 10 is 816.81

Answer:

I don't know how to do it the subject

Answer: 2.43m^3

Step-by-step explanation:

Answer: 2.43cm^3

Step-by-step explanation:

PLEASE mark me BRAINIEST! One more until next ranking!

Answer:

First find the unit rate for julie

3 hours/45 dollars

0.066 hours/1 dollar

Now based off table, find Jacksons

y = 25x

if x = 1, y would be 25

25 - .066 = 24.934 dollars

Step-by-step explanation:

Step-by-step explanation:

-.5f -5 < -1

-.5f < 4

f > -8

hope this helps