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3 years ago

the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 cubic units

Mathematics

1 answer:

fgiga [73]3 years ago

3 0

Let the radius of the base be r units

Then the height will be 3r units

Volume of cylinder = pi r^2 h

24=pi r^2 × 3r

Pir^3 = 24/3

Pi r ^3 =8

r^3 = 8/pi

R = 2 / pi^1/3

Height = 6/pi^1/3

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geniusboy [140]

The length of a rectangle is 4 cm less than twice the width. express as an integer the maximum width of the rectangle when the perimeter is less than 78 cm.

5 0

3 years ago

15-(4m - 5) = 32 please help me

atroni [7]

The answer is = -3, hope this helps!

7 0

3 years ago

Read 2 more answers

Select the solution to the graph from the following points. Select all that apply.

stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ $m=\frac{1-0}{0--3}=\frac{1}{3}$

- Substitute the value of m in the form of the equation

∴ y = $\frac{1}{3}$ x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = $\frac{1}{3}$ x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = $\frac{1}{3}$ (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = $\frac{1}{3}$ (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = $\frac{1}{3}$ (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = $\frac{1}{3}$ (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = $\frac{1}{3}$ (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0

3 years ago

The United States government used to make coins of many different values

Papessa [141]

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

5 0

3 years ago

In 1990, the population of Boston, Massachusetts was 574,283. In 2000, the population was 589,141. What is the percent of change

MrMuchimi

Answer:

Percent of change in population is $2.6$ %

Step-by-step explanation:

Given population of Boston is $574,283$ measured in year $1990$ .

And population of Boston in year $2000$ is $589,141$ .

We need to find percent of change in population.

So, percent change $=\frac{New\ population-Old\ population}{Old\ population}\times100$ %

Here old population is $574,283$ and new population is $589,141$

Plugging these value in formula we get,

Percent change $=\frac{589,141-574,283}{574,283}\times100\\\\=\frac{14858}{574,283}\times100=0.0258\times100\\\\=2.587$

Rounding to nearest tenth 2.6%

8 0

4 years ago