what is the volume of a cylinder with a diameter of 10 ft and a height of 6 ft

Answers

Answer 1

Answer:

471 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

The radius is d/2 = 10/2 = 5

C = pi r^2 h

   = 3.14 * 5^2 * 6

  471


Related Questions

the button on ernestos shirt has a diameter of 8 millimeters.what is the buttons radius

Answers

Answer:

4 mm

Step-by-step explanation:

The radius is half the diameter, so in this case the radius of each button is 4 mm.

Answer:

The radius would be 4 millimetres

Step-by-step explanation:

The radius is the length from one side to the centre of the circle.

The diameter is the length from one side to another.

To work out the radius you would simply divide the diameter of 8 by 2, this gives you 4 millimetres. This is because the radius is half of the diameter.

1) Divide 8 by 2.

[tex]8/2=4 mm[/tex]

I need help Please help.

Answers

Answer:

Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct

In a direct variation, y = 12 when x = 6. Write a direct variation equation that shows the relationship between x and y.

Answers

Answer:

y=2x

Step-by-step explanation:

Y=kx

12=k6

12 divided by 6 to get 2

and 2=k

Find the number if:
4.5% of it is 23% of 4

Answers

Answer:

20.4

Step-by-step explanation:

A corporation produces packages of paper clips. the number of clips per package varies, as indicated below for a sample of 20 packages. 48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50 create a histogram. how many packages contain between 48 and 52 clips (inclusive) per package

Answers

Answer:

- The histogram of this distribution is presented in the attached image to this answer.

- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17

Step-by-step explanation:

To create an histogram, we need to properly present the right solutions to angry mob.

The number of clubs per package is presented as thus

48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50

In an organized home, the data is reset to the number of clubs per passport and corresponding video is done

x | f

47 | 1

48 | 3

49 | 4

50 | 4

51 | 3

52 | 3

53 | 2

The histogram of this distribution is presented in the attached image to this answer.

-  The number of packages that contain between 48 and 52 clips (inclusive) per package

From the data table, it is evidently 3+4+4+3+3 = 17

Hope this Helps!!!

Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 3 and then picking a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

I would say you have a probability of 1/4 to pick a 3 in the first round and 1/3 in the second round
1/4 plus 1/3 = 7/12

2(q–8)< – 10 solve for q

Answers

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal distance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?

Answers

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

[tex]y= -x^2 + 2x + 3[/tex]

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]

The maximum height of the diver is therefore 4 meters.

The two prisms below are similar. What is the value of x?
30
A. 3
B. 9
C. 1
D. 30
SUBMIT

Answers

i think its D. 30 :)

a card is drawn at random from a standard 52 card deck has a 1/13 chance of being at 8. What is the probability of the car not being an ace?​

Answers

Answer:

12/13

Step-by-step explanation:

There are 52 cards in the deck

4 are aces

That leaves 52-4  or 48 that are not aces

P(not an aces) = cards that are not aces / total

                        = 48/52

                       =12/13

Answer:

[tex] \frac{12}{13} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]there \: \: \: are = 52 \: \: cards \\ aces \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \: \: cards \\ not \: aces \: \: \: \: \: = 52 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 48 \\ p \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{48}{52} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{13} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

EASY QUESTION, PLZ PLZ PLZ NEED HELP
Topic: Equivalent Fractions

Answers

Answer:

Step-by-step explanation:

For the first row:

Improper fraction: 5/6

Mixed number: 1 1/6

Number line: draw a line that is from 0-3. Fill it in a little bit after 1.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then color in 1/6 of the second circle.

For the second row:

Improper fraction: 13/6

Mixed number: 2 1/6

Circle models: draw 3 circles. Split each circle into 6 equal parts. Color in 2 of the circles and then color in 1/6 of the last circle.

For the third row:

Improper fraction: 17/8

Mixed number: 2 1/8

Number line: draw a line that is from 0-3. Fill it in from 0 to a little bit after 2.

For the fourth row:

Improper fraction: 10/8

Mixed number: 1 2/8 or 1 1/4

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle in 8 equal parts. Color in the first circle and then color in 1/8 of the other circle.

For the fifth row:

It's literally just the same as the third row lol.

For the sixth row:

Improper fraction: 5/3

Mixed number: 1 2/3

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then color in 2/3 of the other circle.

For the seventh row:

Improper fraction: 11/6

Mixed number: 1 5/6

Number line: draw a line that is from 0-2. Fill it in from 0 to right before 2.

Circle models: draw 2 circles. Split each circle into 6 equal parts. Color in the first circle and then 5/6 of the other circle.

For the eighth row:

Improper fraction: 4/3

Mixed number: 1 1/3

Number line: draw a line that is from 0-2. Fill it in from 0 to a little bit after 1.

Circle models: draw 2 circles. Split each circle into 3 equal parts. Color in the first circle and then 1/3 of the other circle.

For the ninth row:

Improper fraction: 9/5

Mixed number: 1 4/5

Circle models: draw 2 circles. Split each circle into 5 equal parts. Color in the first circle and then 4/5 of the other circle.

Hope this helps! Sorry it took me so long lol.

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.
What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?
1
289
10
289
5
136
1
10

Answers

Answer:

10/289

Step-by-step explanation:

hope this helps

The probability of reference book and then, without replacing it, picks up a nonfiction book is 5/136.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.

So, the probability of getting reference book

= 2/ 17

and, the probability of getting nonfiction book

= 5/ 17

Now, the probability of reference book and then, without replacing it, picks up a nonfiction book

= 2/ 17 x 5 / 16

= 10 / 272

= 5 /136

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ7

Solve for c.

–4c − 9 = –3c

c =

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

Which of the following is equivalent to
7-2(x + 2) <-4-3(1 - x)?
A. -2x<-17
B. 6 x <-9
C. -5x<-10
D. - X<-16

Answers

Answer:

C

Step-by-step explanation:

For this question you have to solve every inequality. To get the correct answer.

product -6 and sum 1 what is the factors

Answers

Answer:

The answer is -2 & 3

Step-by-step explanation:

what is the answer please im in a hery

Answers

Answer:

Factor [tex]12a + 6b : 6(2a + b)[/tex]

Step-by-step explanation:

[tex]12a+6b[/tex]

Rewrite [tex]12[/tex] as [tex]2 * 6[/tex]:

[tex]=2\cdot \:6a+6b[/tex]

Factor out common term [tex]6[/tex]:

[tex]=6\left(2a+b\right)[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, Have a good day! =)

Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?

Answers

Answer:

5076.

Step-by-step explanation:

Let x be the number enrolled, then:

x - 1/9 x = 4512

8/9x = 4512

x = 4512 * 9/8

x = 5076.

In this nuclear reaction equation, oxygen decays to form nitrogen. Which equation correctly describes
this decay?
O 150 N + e
o 150+ e TN
o 150 N+
o 150 → N+

Answers

Answer:

A. 150 N + e

Step-by-step explanation:

Im smart pls mark brainliest.

what is the probability of spinning a number less than 3 or 6

Answers

Answer:

I'm glad you asked!

Step-by-step explanation:

The probability would be 0.3333 .When we convert it into a number we get 26 or 13.

A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin

Answers

Answer:

6 meters per 1 second or 6m/s

Step-by-step explanation:

slope is rise/run or change in y/change in x

in this case y=30, x=5 so slope = 30/5= 6

Name all factors of x3 – 3x2 – 10x.

Answers


The answer is: x(x-5)(x+2)
x(x^2-3x-10)
x(x-5)(x+2)

Please can you help! I will mark brainiest!

Answers

Answer:

108

Step-by-step explanation:

So the area of the rectangle is easy.

12 * 5 = 60

Now you have to do the triangles.

The height is (13 - 5) / 2 = 4

The bases are 12

The area of one is (12 * 4) / 2

The area of both is 12 * 4 = 48

60 + 48 = 108

Express x^2-5x+8 in the form (x-a)^2+b

Answers

Answer:

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Step-by-step explanation:

(x - a)^2 + b = x^2 - 2ax + a^2 + b

equate to your quadratic :

x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)

equating coefficients (ignoring x^2 as the coefficient is 1 for both)

for x :

-5 = -2a --> a = 5/2

for x^(0) : 8 = a^2 + b , note a = 5/2

thus,

8 = (5/2)^2 + b

8 = 25/4 + b

b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4

hence a = 5/2 , b = 7/4

thus,

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

6 x - 16.7 equals what please help

Answers

Answer:

- 100.2

Step-by-step explanation:

6 x(-16.7)

6 x [tex]\frac{-167}{10}[/tex]

6 x(-167) = - 1002

-1002/10 = - 100.2

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
a)
All three balls are the same color
c)
Two balls are yellow and one is blue
d)
All three balls are different colors

Answers

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls.  3 are selected.  There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)

Answers

y=-3x+5

Since the slope is -3, you write -3x since x labels the slope. The point is on the y axis giving us the y intercept which is 5.

2x+5y=20 in slope intercept form

Answers

Answer: y=2/5x - 4

Step-by-step explanation:

One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?

Answers

Answer:

Step-by-step explanation:

Solve the equation 4x² +7x-2=0.​

Answers

Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

2. Write a quadratic function with zeros at 6 and -2.

Answers

Answer:

f(x) = x^2 - 4x - 12

Step-by-step explanation:

If 6 is a zero, (x - 6) is a factor.  Likewise, if -2 is a zero, (x + 2) is a factor.

Multiplying these two factors together, we get:

f(x) = x^2 - 4x - 12

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