A company packages their product in two sizes of cylinders. Each dimension of the larger finder
is twice the size of the corresponding dimension of the smaller Cylinder
20
2h
Based on this information, which of the following statements is true?
A. The volume of the larger cylinder is 2 times the volume of the smaller cylinder.
B. The volume of the larger cylinder is 4 times the volume of the smaller cylinder.
C. The volume of the larger cylinder is 8 times the volume of the smaller cylinder.
D. The volume of the larger cylinder is 6 times the volume of the smaller cylinder.

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

Step-by-step explanation:

1st Δ = 35°

2nd Δ = 90° ...... ( right Δ triangle )

3rd Δ = let x

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

Answer:

x = 16

Step-by-step explanation:

(x +4) : (x +12) ::  (x-1)(x +5)

As they are in proportion,

Product of means = Product of extremes

(x + 4)* (x +5) = (x + 12)(x - 1)   {Use FOIL method}

x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)

x² + 5x + 4x + 20 = x² - x +12x - 12            {Now combine like terms}

 x² + 9x + 20  = x² + 11x -12

x² + 9x +20 - x² - 11x = -12

x² - x² + 9x - 11x     = -12 - 20          

    0   - 2x              = - 32

                       -2x = -32          {Divide both sides by -2}

                           x = -32/-2

                          x = 16

Answer:

148692/12

Step-by-step explanation:

12391

Answer:

7.74 cm2

Step-by-step explanation:

We need to find the area of both the square and the circle and then subtract the two.  Inscribed means draw within a figure so as to touch in as many places as possible.  So the circle is drawn inside the square.  The opposite is circumscribed, meaning drawn outside.

Asquare = s2 = 36 cm2 so the side is 6 cm

6 cm is also the diameter of the circle and thus the radius is 3 cm

A circle = πr2 = 3.14 * 32 = 28.28 cm2

The resulting difference is 7.74 cm2

Answer:

The lines are perpendicular.

Step-by-step explanation:

If the lines are parallel, then the slopes are equal

If the lines are perpendicular, then the slopes are negative reciprocals

If neither of the above occur, then the lines are neither parallel or perpendicular.

y = 2x + 3  is in slope-intercept form, so the slope = 2

2y + x = 6

Solve for y:    2y = -x + 6

                        y = -1/2(x) + 3    so the slope = -1/2

2 and -1/2 are negative reciprocals, so the lines are perpendicular.

Note:  Negative reciprocals have a product of -1.  2(-1/2) = -1

Answer:

A. 24

Step-by-step explanation:

n Over 54 EndFraction = StartFraction 4 Over 9 EndFraction

n/54 = 4/9

Cross product

n * 9 = 54 * 4

9n = 216

n = 216/9

n = 24

A. 24

Check:

n/54 = 4/9

24 / 54

Divide through by 6

= 4/9

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

heres your answer

Step-by-step explanation:

Step-by-step explanation:

5(2–m)-3(4 – 2m) = 20

10-5m-12+6m=20

m=22

hope it helps

answer

m =22

solution

5(2-m)-3(4-2m)=20

10-5m-12 +6m=20

-2+m =20

m= 20+2

m =22

Answer:

B

Step-by-step explanation:

the gcf of 42 is 1,2,3,6,7,21,42

then we find the number when we add give 13 is 6and 7

x^2+13x+42

x^2+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

Step-by-step explanation:

This is the way I understand the question.  I hope it makes sense.

    n

     ∑ (P + 78n)                P = the initial depost which is 758

   n = 0

     so when n = 0       the sum equals P   or  758        because 78(0)  =  0

     so when n = 1       the sum equals P+78(1)       =     758 + 78     =  836

     so when n = 2       the sum equals P+78(2)     =     758 + 156    =  914

Answer:

relationship between perpendicular and base is given by tan angle

tanx°=p/b

tanx°=45/30

x°=tan-¹(45/30)=56.30=56

Answer:

0.03

Step-by-step explanation:

In given triangle,

perpendicular(p)=45

base(b)=30

x=?

We know,

tanx = p/b

or, tanx = 45/30

or, tanx = 3/2

or, x = tan-1(9/7)

or, x = 56.3099324740202 i.e. 56 approximately

Answer:

Let total non-fiction books = 3x

And total fiction books = 5x

After reading 6 non-fiction books, remaining non-fiction books = 3x-6

After reading 13 fiction books, total fiction books remaining fiction books = 5x-13

(3x-6)/(5x-13) = 3/4

Solving for x, we get x = 5

So total non-fiction books = 15 and fiction books=25

So total number of books bought = 40

Answer:

691

Step-by-step explanation:

Answer:

x = 9.83

Step-by-step explanation:

Taking 55 as the reference angle,

hypotenuse (h) = 12

perpendicular (p) = x

Sin 55 = p/h

Sin 55 = x / 12

x = Sin55 x 12

x = 9.83

Answer:

one hundred billion

Step-by-step explanation:

10^6 x 10^5 = 10^11

10^11 = 100,000,000,000 or  one hundred billion

I hope that's what you meant ^-^

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I had the same question and I got this right

Christopher is solving a system of equations that has one solution and can be seen in Option C.

A system of equations is two or more equations that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.

A quadratic equation is the second-order degree algebraic expression in a variable.

s(x) = 2x42 -5 and t(x) = -x +31+2

However, if their power is not in one degree, the quadratic equation produces two solutions.

From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.

Learn more about systems of equations here;

brainly.com/question/14323743

Here is my answer. I hope this is helpful.

Answer:

Step-by-step explanation:

It would have to be something that when you take the fourth root of something, you would get 3

The way to find it is just raise 3 to the 4th power.

3^4 = 3 * 3 * 3 * 3 = 9 * 9 = 81

c  = 81

Answer:

10-35-45 and 5-17.5-22.5

Step-by-step explanation:

Answer:

x=39 y=51

Step-by-step explanation:

Step-by-step explanation:

2x = 78 ( they're vertical angles)

divide both sides by 2

x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!

9514 1404 393

Answer:

  (i)  5/12

  (ii)  720

  (iii)  420

Step-by-step explanation:

(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

  The person who lost received 5/12 of the total votes.

__

(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...

  120 votes = 1/6(total votes)

  total votes = 6×120 votes = 720 votes

There were 720 registered voters.

__

(iii) The winner received ...

  (7/12)(720 votes) = 420 votes . . . received by the winner

Answer:

x=6

Step-by-step explanation:

according to the question :-

(x+54)+5x=90

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6