A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and a height of 60 centimeters. If the company used 54,259.2 cm ^3 of steel, how many rods did it make?

Answer:

20

Step-by-step explanation:

Hope I’m correct-

80.2 is rounded to 80 and 4 is just 4. So 80 divided by 4 would be 20.

So your answer is 20.

Answer:

x=12

Step-by-step:

Square root both sides to get

x-3=9

Then take 3 to the other side

x=9+3

x=12

Answer: B I believe

Step-by-step explanation:

Answer:

Isosceles becuase there are 2 equal sides but 1 side is different.

Answer:

28+8+2

Step-by-step explanation:

-2(3x+12y-5-17x-16y+4)

-2(3x+12y-1-17x-16y+4)

-2(3+12-1-17-16)

-2(-14+12-1-16)

-2(-14+12-1-16y)

-2(-14-4-1)

-2(-14-4-1)

28+8+2

Answer:

x=−2 or x=20

Step-by-step explanation:

Answer:

x=20,-2

Step-by-step explanation:

Answer: g < 1 3/5

Step-by-step explanation:

first, i removed the parentheses.

19 > 2g + 15.8

then, i moved the terms.

-2g > 15.8 - 19

the, i calculated that.

-2g > -3.2

finally, i divided both sides.

g < 1.6

the alternative form is g < 1 3/5

(basically, the second answer)

Answer:

What do you mean?

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

2*8*3*5

Answer:

160

Step-by-step explanation:

a P e X

Answer:

????

Merry Christmas

Happy Holidays

Option 2 is correct.The value when n= 3 is 9

Could i have branliest and heart pls

Answer:

The value when n = 3 is 9

Step-by-step explanation:

I ANSWERD FIRST

Answer:

the value of c(30) is 21.2, which represents the customers final cost of $21.20

Step-by-step explanation:

d

Answer:

9.875

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

get a calculator

Answer:

Alternate Interior Angles

Alternate Exterior Angles

Same side Interior

Same side Exterior

Corresponding

Step-by-step explanation:

Answer:

omg thanks

Step-by-step explanation:

Answer:

I like yo cut G

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First you will add them all up

6+4+10+2=22

Second find the black and green amount and add them together

4+10=14

Thirdly turn this into a fraction

14/22

Lastly simplify

14/11 / 2 = 7/11

let

width = w

length = 4w + 11

2(length) + 2(width) = perimeter

2(4w + 11) + 2(w) = 162

8w + 22 + 2w = 162

10w + 22 = 162

10w = 140

w = 14 cm (WIDTH)

length = 4w + 11

length = 4(14) + 11

length = 56 + 11

LENGTH = 67 cm

The length is 4(14)+ 11 = 67 cm and width is 14 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 162 cm

let the width be x .

then, the length is 4x+ 11

Thus, Perimeter of rectangle= 2(l + w)

162 = 2( 4x + 11 + x)

162 = 2( 5x +11)

81 = 5x+ 11

5x= 70

x= 14

Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.

Learn more about algebra here:

https://brainly.com/question/24875240

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Answer:

Step-by-step explanation:

perimeter of the given trapezoid = 7 + 4 + 4 + 5

                                                      = 20 units

                                             (see image below)

Answer:

2 solutions:

1) m =(4-√52)/2=2-√ 13 = -1.606

2) m =(4+√52)/2=2+√ 13 = 5.606

Step-by-step explanation

The first term is,  m2  its coefficient is  1 .

The middle term is,  -4m  its coefficient is  -4 .

The last term, "the constant", is  -9

Step-1 : Multiply the coefficient of the first term by the constant   1 • -9 = -9

Step-2 : Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   -4 .

     -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1:

 m2 - 4m - 9  = 0  

STEP 2:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = m2-4m-9

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Am2+Bm+C,the  m -coordinate of the vertex is given by  -B/(2A) . In our case the  m  coordinate is   2.0000  

Plugging into the parabola formula   2.0000  for  m  we can calculate the  y -coordinate :

 y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0

or   y = -13.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = m2-4m-9

Axis of Symmetry (dashed)  {m}={ 2.00}

Vertex at  {m,y} = { 2.00,-13.00}

m -Intercepts (Roots) :

Root 1 at  {m,y} = {-1.61, 0.00}

Root 2 at  {m,y} = { 5.61, 0.00}

Add  9  to both side of the equation :

  m2-4m = 9

Now the clever bit: Take the coefficient of  m , which is  4 , divide by two, giving  2 , and finally square it giving  4

Add  4  to both sides of the equation :

 On the right hand side we have :

  9  +  4    or,  (9/1)+(4/1)

 The common denominator of the two fractions is  1   Adding  (9/1)+(4/1)  gives  13/1

 So adding to both sides we finally get :

  m2-4m+4 = 13

Adding  4  has completed the left hand side into a perfect square :

  m2-4m+4  =

  (m-2) • (m-2)  =

 (m-2)2

Things which are equal to the same thing are also equal to one another. Since

  m2-4m+4 = 13 and

  m2-4m+4 = (m-2)2

then, according to the law of transitivity,

  (m-2)2 = 13

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (m-2)2   is

  (m-2)2/2 =

 (m-2)1 =

  m-2

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  m-2 = √ 13

Add  2  to both sides to obtain:

  m = 2 + √ 13

Since a square root has two values, one positive and the other negative

  m2 - 4m - 9 = 0

  has two solutions:

 m = 2 + √ 13

  or

 m = 2 - √ 13

Solving    m2-4m-9 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  m  , the solution for   Am2+Bm+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 m =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -4

                     C   =   -9

Accordingly,  B2  -  4AC   =

                    16 - (-36) =

                    52

Applying the quadratic formula :

              4 ± √ 52

  m  =    —————

                   2

Can  √ 52 be simplified ?

Yes!   The prime factorization of  52   is

  2•2•13

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 52   =  √ 2•2•13   =

               ±  2 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          m  =  ( 4 ± 2 •  3.606 ) / 2

Two real solutions:

m =(4+√52)/2=2+√ 13 = 5.606

or:

m =(4-√52)/2=2-√ 13 = -1.606

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side h

QZ/ST=PZ/RT

48/12=PZ/4

PZ/4=48/12

(PZ/4)3=48/12

PZ(3)/12=48/12

48/3=16

16=PZ.

3Step-by-step explanation:

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

Answer:

1)(6,4)

11+1=12/2 =6

6+2=8/2=4

Answer:

2 cups of water

Step-by-step explanation:

Answer:

D. Y<1.25x+2.25

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

thanks for the pts i need them sowwy

Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

Step-by-step explanation:

whats  the question i cant read it

i can help you once i know

Answer:

slope=3/2 y inter. = (0,5)

Step-by-step explanation: