A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answer:

(4,-8) is the only correct solution because it is the only one to have a Y value of -8

#1

#2

#3

Answer:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \cos(28^{\circ})=\dfrac{x}{25}[/tex]

[tex]\implies \sf x=25cos(28^{\circ})[/tex]

[tex]\implies \sf x=22.1\:(nearest\:tenth)[/tex]

Given:

[tex]\implies \sf \cos(26^{\circ})=\dfrac{15}{x}[/tex]

[tex]\implies \sf x=\dfrac{15}{\cos(26^{\circ})}[/tex]

[tex]\implies \sf x=16.7\:(nearest\:tenth)[/tex]

Given:

[tex]\implies \sf \tan(41^{\circ})=\dfrac{x}{16}[/tex]

[tex]\implies \sf x=16\tan(41^{\circ})[/tex]

[tex]\implies \sf x=13.9\:(nearest\:tenth)[/tex]

Answer:The penguin will walk 75.15 feet in 45 seconds.

It will take the penguin 26.95 seconds to walk 45 feet.

Through cross multiplication we can determine the unknown quantity we need

Step-by-step explanation:

Answer:

line 1 and 3

Step-by-step explanation:

Parallel lines have the same slope.

So if we're asked to identify a pair of parallel lines, we can just take a look at the slope (the number before x)

The first one is y=3x-5. Okay.

The second one is y=-3x+7. So the second line isn't parallel to the first line.

The third line is y-3x=12, or y=3x+12.

So the 3rd line is parallel to the 1st line :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong

Answer:

They are the same.

Step-by-step explanation:

1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .

Hope this helped :)

Answer:

x=-2

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to combine like terms

The equation after combining the x terms and the contants will look like this

10x+3=12x+7

Now you have to take 10x away from both sides

3=2x+7

Now bring all the constants to the left side

3-7=2x

Simplify

-4=2x

divide 2 on both sides to get x by itself

x=-2

So, the answer is x=-2

Answer:

  592 in²

Step-by-step explanation:

The surface area is the sum of the areas of the rectangles shown in the figure.

__

The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...

  A = LW = (12 in)(36 in) = 432 in²

The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...

  A = 2(LW) = 2(8 in)(10 in) = 160 in²

The total surface area of the figure is (432 +160) in² = 592 in².

Answer:

To represent all the possible amounts that Samantha can pay, you will write that x is less than or equal to 15.

This means that any amount up to and including 15 is a possibility.

Step-by-step explanation:

Answer:

x≤15

Step-by-step explanation:

x means how much samantha is able to spend on lunch each week. she can spend only 15 dollars or less. -Crispin

1. - 3p^3 + 7p^2 - 3

2. 5a^3 - 5a^2

3. 6 + 7n^3

4. - 6n^3

5. a^2 + 2r^4

6. 9r^3 + 2r^4

7. 1

8. 6x^4 - 6x

9. - 7k^4 - 11k^2 + 6

10. 2n^5 - 2n^4 + 3n + 3

11. 14a^5 + 14a^4 - 10a^3 - 16a

12. - 14n^4 - 7n^2 + 8n + 7

13. 18x^5 + 6x^4 + 12x^3

14. 7r^3 - 3r^2 + 20r

15. 8n - 8n^4

16. - 2x^5 + 10x^4 + 5x + 14

17. 4x^5 - 15x^3 - 11x - 1

18. 5a^5 + 23a^2 - 11a

19. 15v^5 + 4v^3 - 24v^2

20. 2b^4 + 15b^3 - 3

Answer:

6144

Step-by-step explanation:

The answer is 6144 because if you do 256×24 you will get 6144

Answer:

4 dollars, a dime, a nickel, and a penny

Answer:

4 dollars

1 dime

1 nickel

1 penny

Step-by-step explanation:

Answer:

9 3/8 as a fraction or 9.375 as a decimal

Step-by-step explanation:

4/8 + 8 7/8 = 75/8= 9 3/8= 9.375

Answer:

[tex]x2 - 9x + 14 = 0[/tex]

Step-by-step explanation:

x2 - 9x + 14 = 0

Answer:

2 and 3

Step-by-step explanation:

So, 24=2x2x2x3

42=2x3x7

3 and 2

Answer:

2 and 3

Step-by-step explanation:

prime factors for 42: 2, 3, and 7

prime factors for 24: 2,2,2 and 3

Answer:

2

Step-by-step explanation:

Following the substitution rules:

O becomes P and

E becomes F

because they are vowels(a,e,i,o,u) change to next letter.

C becomes A

L becomes J

G becomes E

because constants change to the letter two before the given letter.

So COLLEGE becomes APJJFEF

so it now has 2 vowels.

Answer:

The ratio of the new distance to the old distance is  (11/2) .

The intensity is inversely proportional to the square of the distance,

so the new intensity will be  (2/11)²  times the old intensity.

Intensity =                 8,000 (2/11)² =

                              32,000 / 121  =  262.463  units

  Rounded to the nearest whole unit:  262 units

Step-by-step explanation:

264 units of intensity came from a distance of 11 miles option (c) 264 units is correct.

It is given that the intensity is 8000 units at a distance of 2 miles.

It is required to find the intensity at a distance of 2 miles.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station.

Suppose the Intensity of the signal is I and the distance is d, then:

[tex]\rm I \propto\frac{1}{d^2}[/tex]

Intensity from the station [tex]\rm I_1=8000 \ units[/tex]

[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_1=2 \ miles[/tex]

Intensity from the station [tex]=\rm I_2[/tex]

[tex]\rm I_1[/tex] intensity at distance [tex]\rm d_2=11 \ miles[/tex]

[tex]\rm \frac{I_2}{I_1} = \frac{d_1^2}{d_2^2}[/tex]       (From the proportional relation)

[tex]\rm \frac{I_2}{8000} = \frac{2^2}{11^2}[/tex]

[tex]\rm I_2 =8000\times\frac{4}{121} \\\\\rm I_2 = 264.46 \ units[/tex] ≈ 264 units

Thus, the 264 units of intensity came from a distance of 11 miles.

Learn more about the fraction here:

brainly.com/question/1301963

Answer:

Step-by-step explanation:

First you take your smallest number, which in this case is 4 - then you find your maximum number which is 14. Then we can list these numbers on a piece of paper and cross a number out from each side until you reach the middle number which would be 8. Then you go from the min to the middle number which would be 5. Then you repeat between the max number and the middle number which is 11. So your minumum would be 4, max would be 14, Q1 would be 5 Median would be 8 and Q3 would be 11. Let me know if I got it right! I haven't done it for a while, but I am pretty sure this is correct..

The missing values are:

Minimum value = 4 ,

Q₁ = 5 ,

Median = 6,

Q₃ = 11

Maximum value = 14.

The set of values known as quartiles divides a batch of data into four equal portions.

We have,

Minimum value = 4

Now, arrange the data in ascending order

4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14

Then, Quartiles

Q₁ = [ (n+1)/4]th term

   = (12+1) / 4

  = 3.25th term

  = 3rd term + 0.25 ( 4th term - 3th term)

  = 5 + 0.25 (5 -5)

   = 5

Now, Median = (N/2)th term

           = 12 /2

           = 6th term

          = 6

and, Q₃ = [3(n+1)/4]th term

   = 3 × 3.25

   = 9.75

   = 9th term + 0.75( 10th term - 9th term)

   = 11 + 0.75 (10 -10)

   = 11

and, Maximum value = 14

Learn more about Quartiles here:

brainly.com/question/27504751

#SPJ2

Answer:

yes

Step-by-step explanation:

yes

Answer: IRS has sent $6 billion in stimulus payments just in June. Here's how to track your money Your stimulus check could be on its way, along with child tax credit money and unemployment tax refunds.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

The function can be written as :

Answer:

A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice. 

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps

3x+y=5 & 5x-4y=-3

3x+5x=8x+y-4y=-3

           8x+y-4y=-3

     8x+3y=-3

         -3     -3

8x=-6

x = 1 and y = 2.

Step-by-step explanation:

to do this, i changed the form of one of the equations so it was in the y= form then plugged it into the pther equation to solve for x. once i had x i plugged it into one of the equation to get y! hope this helps

1. Convert 8cm³ into m³

= 8.0E-6 m³

(divide the volume value by 1e+6)

2. Convert 0.7m³ into cm³

= 700000 cm³

(multiply the volume value by 1e+6)

3. Convert 4000000cm³ into m³

= 4 m³

(divide the volume value by 1e+6)

The standard deviation of the dataset is the square root of the variance

The mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

The dataset is given as;

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Calculate the mean using:

μ = Sum/Count

So, we have:

μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10

Evaluate

μ = 24.6

The standard deviation is then calculated using:

[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]

Evaluate

[tex]\sigma = \sqrt{32.44}[/tex]

Evaluate the square root

[tex]\sigma = 5.70[/tex]

Hence, the mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

Read more about variance at:

https://brainly.com/question/15858152