A cylinder has a height of 6 cm and a circumference of 10 cm. What is the volume of the cylinder?

Answer:

Radius -  4

Apothem -  2

Area - [tex]12\sqrt{3}[/tex] or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

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This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

[tex]12\sqrt{3} \div3 = 4\sqrt{3}[/tex]

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

[tex]Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6[/tex]

By the way, the formula for the area can be either of the two:

[tex]A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS[/tex]

we can easily find the area using the first formula.

[tex]A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}[/tex]

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Answer:

[tex]Volume = 960in^3[/tex]

Step-by-step explanation:

Given

Empty Tank

[tex]Length = 24in; Width=10in; Height = 12in[/tex]

When filled with water, the height is:

[tex]Height = 8in[/tex]

Required

Determine how many more cubic inches needed

First, we calculate the difference between the height of the tank and the height of the water.

[tex]H = 12in - 8in[/tex]

[tex]H = 4in[/tex]

The volume of water to full the tank is then calculated as:

[tex]Volume = Length * Width * H[/tex]

[tex]Volume = 24in * 10in * 4in[/tex]

[tex]Volume = 960in^3[/tex]

Answer:

whatttttttttttttttttt???????????????????

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

The answer is 3 because x= 15/5 = 3

Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

Answer:

it's 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

24(400) = 9600 = total amt paid

9600 - 8000 = 1600 = amt of interest paid

I = PRT         T = 2 yr

1600 = 8000(2)R

1600 = 16000R

1600/16000 = 1/10 = .01 = 1%

Step-by-step explanation:

To convert decimal number 639 to quinary, follow these steps:

Then just write down the remainders in the reverse order to get the answer, The decimal number 639 converted to quinary is therefore equal to :

10024

Answer:

XW in the first blank

Z in the second blank

Answer:

(a) 20 represents the initial population and

    1.014 represents 1 + % growth of rabbits each day

(b) Average Rate of change = 0.8

Step-by-step explanation:

P.S - The exact question is -

Given - A population of rabbits in a lab, p(x), can be modeled by

            the function p(x)=20(1.014)^x, where x represents the number

            of days since the population was first counted.

To find - (a) Explain what 20 and 1.014 represent in the context of

                   the problem.

              (b) Determine, to the nearest tenth, the average rate of

                   change from day 50 to day 100.

Proof -

(a)

Given that the function p(x) is represented as

[tex]p(x) = 20(1.014)^{x}[/tex]

Here,

20 represents the initial population and

1.014 represents 1 + % growth of rabbits each day

(b)

Given,

[tex]p(x) = 20(1.014)^{x}[/tex]

When x = 50

[tex]p(50) = 20(1.014)^{50}[/tex] = 40.08000 ≈ 40.1

When x = 100

[tex]p(100) = 20(1.014)^{100}[/tex] = 80.32033 ≈ 80.3

Now,

Average Rate of change = [tex]\frac{p(100) - p(50)}{100 - 50}[/tex]

                                         = [tex]\frac{80.3 - 40.1}{50}[/tex]

                                         = [tex]\frac{40.2}{50}[/tex]

                                         = 0.804 ≈ 0.8

⇒Average Rate of change = 0.8

Answer:

B

Step-by-step explanation:

This asks for data from multiple people, and it not just a yes or no question

Answer:

A: 3.84% chance.

B: 23.08% chance

The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The letters of the alphabet are written on pieces of paper and put into a hat. they are then pulled out and not replaced.

Then the total number of letters of the alphabet will be 26.

Then the chance of pulling out an A and then a Z in two consecutive turns will be given as,

P = (1 / 26) x (1 / 25)

P = 1/650

The chance of pulling out two vowels in two consecutive turns will be given as,

P = (5 / 26) x (4 / 25)

P = 20 / 650

P = 2 / 65

The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

2% per year.

Step-by-step explanation:

Solving our equation

r = 960 / ( 12000 × 4 ) = 0.02

r = 0.02

converting r decimal to a percentage

R = 0.02 * 100 = 2%/year

The interest rate required to

accumulate simple interest of $ 960.00

from a principal of $ 12,000.00

over 4 years is 2% per year.

Answer:

B. 56π

Step-by-step explanation:

Circumfrance = 2πr OR πd(r*2)

C = 2π(28) -> C = 56π

OR

C = π(28*2) -> C = 56π

Answer:

B (56π)

Step-by-step explanation:

Circumference = 2πr or πd

C = 2π(28) (after completing this step:) C = 56π

Thus, C = 56π

Tags:

math,math,B (56π),pi,pie,area,circumfrence,diamater,radius,brainly,brainliest,Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches

Answer:

21

Step-by-step explanation:

Yes I am here to help

Answer:

[tex](x,y) = (-1,0)[/tex]

Step-by-step explanation:

Given

[tex](x+1)^2 = -8(y-2)[/tex]

Required

The coordinates of the focus

First, write the expression in form of: [tex]y=a(x-h)^2+k[/tex]

[tex](x+1)^2 = -8(y-2)[/tex]

[tex](x+1)^2 = -8y + 16[/tex]

[tex]-8y + 16 = (x+1)^2[/tex]

Subtract 16 from both sides

[tex]-8y = (x+1)^2 - 16[/tex]

Divide through by -8

[tex]y = -\frac{1}{8}(x+1)^2 - \frac{16}{-8}[/tex]

[tex]y = -\frac{1}{8}(x+1)^2 +2[/tex]

In this case:

[tex]a = -\frac{1}{8}[/tex]

[tex]-h = 1[/tex]         [tex]h = -1[/tex]

[tex]k = 2[/tex]

The focus of the parabola is:

[tex](x,y) = (h,k + \frac{1}{4a})[/tex]

This gives:

[tex](x,y) = (-1,2 + \frac{1}{4*-\frac{1}{8}})[/tex]

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

[tex](x,y) = (-1,2 -2)[/tex]

[tex](x,y) = (-1,0)[/tex]

9514 1404 393

Answer:

  J = {4, -8, 7, 3}

Step-by-step explanation:

Sets F, G, H contain fractions, so are not limited to integers.

Set J simplifies to integers, so is the one you want.

Answer:

$0.83

Step-by-step explanation:

Its teh only one that makes sense since the 2nd is under, 3rd is over, and 4th is for lazy people

Answer:

a

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

3/5 ×2=8/10

..............

Answer:

Step-by-step explanation:

so this question is about perpendicular lines.    keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to .  :)  okay so what is that line the robot is on, let's first  

find the slope  , m

m = (y2 - y1)  / ( x2 - x1)  

P1 = (8,6)  in the form ( x1,y1)

P2= (-10,-5) in the form (x2,y2)

then

m = (-5-6) / (-10-8)

m = -11 / -18

m = 11/ 18

and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick  P1

y-6 = 11/18(x-8)

y = 11/18x - 88/18 + 6

y = 11/18x -88/18 + 108/18

y = 11/18x + 20/18

now let's take the reciprocal of the slope and change the sign,  then we have

y = - 18/11x +20/18  ( coordinates robot can move on )

on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .

Answer:

Gillmans

Step-by-step explanation:

I feel like gillmans class did better cuz their class didnt have anyone get a score less than 60 but mr athens class had people who got below 50. Although athens class has people over 95 the most were 60-90 while gillmans was 70-90

Answer:

This is a ratio table,so therefore there is always a pattern.

Step-by-step explanation:

In order to solve,you have to find the constant in the question,such as 30,40,50,and 60.The constant in this example is 10.When the constant is not even,or the numbers are not even,that's the time you pull out your notebook multiplication chart.Look at the numbers,and see if those numbers are on the chart.If all of them are on the chart,then see if one or both of the multiplicable numbers fall under the category of your variables.If all are under one number,then that number is your answer.

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

Answer: 35000

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

329/200 / 0.047

329/200 / 47/1000

35

Answer:

Negative 0.2 (x minus 4) = negative 1.7.

Negative 0.2 x + 0.8 = negative 1.7.

Negative 0.2 x = negative 2.5. x = 12.5.

Step-by-step explanation:

i believe thats the correct anwser

Answer:

its c

Step-by-step explanation:

on egde