Mathematics High School

A. A cylinder just fits into a cube of side length 36 m Calculate the percentage
of empty space in the box.

Answers

Answer 1

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage  of empty space: 1 - 0.785 = 0.215  (21.5%)

A. A Cylinder Just Fits Into A Cube Of Side Length 36 M Calculate The Percentageof Empty Space In The

Related Questions

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

Find the slope of (-2, 5) & (2, 13)

HELPPPOO

Answers

Answer:

The slope is 2.

Step-by-step explanation:

DIVIDE 13-5/2+2

That gives you 8/4 which equals 2.

Man what the hell is ghis

Answers

Answer:

Bro this is how I understood it

Step-by-step explanation:

11/12-2/3=1/4

1 5/8-1 4/7=3/56

By:nick

Yo sorry am on my gbf account and I have this app on my phone tht could help out but sense I am on hers I don’t understand tht type of math no more long time sense I saw them number’s ..

Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Answers

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

I need help.?.?.?.?>

Answers

Answer:

Yes, this sample is valid.

Step-by-step explanation:

This sample is valid  because it surveys a random sample of the 750 students.  

Let me know if this helps!

Some help? Plz? I need some

Answers

Answer:

B=59

Step-by-step explanation:

59 is across from B so they are equal.

Answer:

b = 59

Step-by-step explanation:

b is located right across from the 59 degrees, and they are separated by the same 2 lines that make up their angles. Therefore causing them to have the same measurement, making b = 59

What is the measure of Angle M R N?

Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
16 degrees
19 degrees
71 degrees
87 degrees

Answers

Answer:

A:16

Step-by-step explanation:

hope this helps you i am taking the test now LOL

plz mark me brainlist i think its called

Answer:

Its 16

Step-by-step explanation:

Because 180 - 109 is 71, and 71 plus 90 is 164, and 180 - 164 is 16 therefore that is your missing angle.

round off 599 to 2 significant figure ​

Answers

Answer:
600

Explanation:
The first 9 has to be rounded up to a 0 and the 5 becomes a 6

Answer:

6.0 × 10⁰

Step-by-step explanation:

599 has 3 significant figures

X(x+1)=1 it’s quadratic equations

Answers

x=1 i need 20 characters x=1
x2+x=1
x2+x-1=0
then do the quadratic formula
u will get
X= 1.6180.... or X= -0.618033.


The measure of angle is
_________ degrees.

Answers

Answer:

65 degrees

Step-by-step explanation:

Triangle = 180 degrees

Straight line = 180 degrees

180 - 145 = 35

35 + 80 = 115

180 - 115 = 65 degrees

Suppose a city with a population of 200,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 21 years. Round to the nearest whole number as needed (1 point)​

Answers

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

What is exponential growth factor?

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

To learn more about exponential growth factor click :

https://brainly.com/question/13674608

#SPJ2

the equation 2x + 1 = 7

Answers

Answer:

A= ((sorry i didn't see this one)) B= -1 C= (2) equal groups

Answer:x=3

Step-by-step explanation:

2x=7-1

2x=6

divided by 2 on both sides

x=3

Please help with a lot of points

Answers

Step-by-step explanation:

the answer would be 6 meters

btw the origin is known as (0,0)

hope this helps bro<33

It would be 6 meters - just follow the 5 seconds up and it shows the line going to 6 meters

A label for a drug indicates that each milliliter contains 3 milligrams of the drug. How many milligrams are in 9 ​milliliters?

Answers

Answer:

27 milligrams

Step-by-step explanation:

If in one mililiter are 3 milligrams, you just multiply 9 times 3 to get the answer, which is 27

Add 12+35

1.) 2

2.) 1 110

3.) 25

4.) 47

Answers

Easy it’s 4.) because I know

The sketch of this crayon represents an irregular polygon. Find the area of the figure. 21.75 cm²
75 cm²
37.5 cm²
40.5 cm²​

Answers

The total area of the sketch will be 40.5 cm².

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, The sketch of this crayon represents an irregular polygon.

Dimension of the polygon are given in the figure,

To calculate the area of the given figure first we need to break this into two parts:

The first one will be rectangular form with a length of 12.5 cm and a width of 3 cm

The second one will be in triangular form with a height of 2 cm and a base of 3 cm.

Area of rectangle = length * width

in our case,

Area of rectangle = 12.5*3

Area of rectangle = 37.5 square cm

Area of triangle = 1/2 base *height

In our case,

Area of triangle = 1/2* 3 * 2

Area of triangle = 3 square cm

So,

The total area of the sketch = area of rectangle +area of the triangle

The total area of the sketch = 37.5 + 3

The total area of the sketch = 40.5 Square cm

Therefore, the total area of the sketch will be 40.5 cm².

Learn more about Area here:

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Fill in the blanks .

Answers

the answer for a is 75° because measure angle 8 is 105°, and the two angles form a straight line which needs to total 180°

Answer:

Step-by-step explanation:

<5=75

<11=75

<16=65

Find the sum of 3x + y , - 4x -2y

Answers

Answer:

(-x-y)

Step-by-step explanation:

Given data

First expression = ( 3x + y)

Second expression = (-4x -2y)

Add the two expresssion

= ( 3x + y)+ (-4x -2y)

Open bracket

=3x+y-4x-2y

collect like terms

=3x-4x+y-2y

=-x-y

Hence the result is (-x-y)

n is an integer such that 3n + 4 < 19 and
10n/n+ 16 > 1
Find all the possible values of n.

Answers

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]

combining

(-∞,-16)U(16/9,5)

Answer:

n = 3,4,5

Step-by-step explanation:

3n + 4 < 19

3n ≤ 15

n ≤ 5

10n/n+16 > 1

10n > n²+16

-n²+10n-16

(-n+2)(n-8)

n = 2 or n = 8

2 < n < 8

So 2<n≤5 = 3,4,5

passes through (2,7), slope = 3

Answers

Answer:

Equation of the line is y = 3x +1

Step-by-step explanation:

i need help please!!

Answers

Answer:

Step-by-step explanation:

do the thing times 2

Do the graph two times

In \triangle LMN,△LMN, \angle N \cong \angle M,∠N≅∠M, LM = 14LM=14 and MN = 8MN=8. Find the length of NL.NL.

Answers

Answer:

11.5

Step-by-step explanation:

We solve using :

Pythagoras Theorem

LM² = MN² + NL²

NL² = LM² - MN²

NL = √LM² - MN²

NL = √14² - 8²

NL =  √(132)

NL = 11.489125293

NL = 11.5

Therefore, the length of NL = 11.5

Arletta built a cardboard ramp for her little brother's toy cars.Identify the shade of the ramp.Then find its volume.

Answers

Answed equally 14=5173=*71792 divided by 1572936219§

Step-by-step explanation:

how much money would you give your mom?
1. 100$
2. 300$
3. 20$
4. 0$
5. 1000$
6. my mom has her own money :D

Answers

5. $1000
am confused is this a tegular question ir wat.....
6. She has her own money, we as children should not let parents hold our money because our possibility is that they are going to take an advantage of our money spending.


Substitution:
2x - y = 6
x + y = -3

Answers

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

how do I define the theorem on this question?

Answers

Answer:

AAS

Step-by-step explanation:

have a good day:) .....

Hopefully someone can help me with this question

Answers

This is kinda hard for me sorry, at least I get points

Simplify The Expression

2y - y + 4 + y
y=3​

Answers

-0.5

Step-by-step explanation:

um bc it is the answer

-3.25 (5 continues forever) ○ -3.2 (2 continues forever) Greater than or less than​

Answers

Answer:

Less than.    <

Step-by-step explanation:

A(n+1)=A(n)+4 for n21 and A(1)=-6*
Helllllp

Answers

9514 1404 393

Answer:

  74

Step-by-step explanation:

The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.

The general term of such a sequence is ...

  a(n) = a(1) +d(n -1)

This sequence is ...

  a(n) = -6 +4(n -1) = 4n -10

Then for n = 21, the term is ...

  a(21) = 4(21) -10 = 84 -10

  a(21) = 74

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