Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination

Answers

Answer 1

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

[tex]F + V - E = 2[/tex]

Where

[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]

[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]8 + 12 - 6 = 2[/tex]

[tex]14 = 2[/tex]

The above equality is false. Hence, (a) does not exist

[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]6 + 6 - 4 = 2[/tex]

[tex]8 = 2[/tex]

The above equality is false. Hence, (b) does not exist

[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]20 + 30 - 12 = 2[/tex]

[tex]38 = 2[/tex]

The above equality is false. Hence, (c) does not exist

Could A Polyhedron Exist With The Given Number Of Faces, Vertices, And Edges? Drag Yes Or No To Each

Related Questions

HELP ME PLEASE


Explain to Raven what she did correctly in the first two problems that she did not do in the last problem, and how to correct her mistake

Answers

Answer:

She changed the symbols in the first two problems because they were divided by a negative number whereas she shouldn't have changed the symbol in the last problem as it was not divided by a negative number and so the sign remains the same.

Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture

Answers

Answer:

187.5 pounds

Step-by-step explanation:

Fraction of sand = 2/5

Fraction of clay = 2/5

Fraction of peat = 1/5

Pounds of sand = 75

The total pounds of soil required to make Correct mixture : let that be x

Hence,

Using the sand Fraction and pounds which we know :

2/5 of x = 75

2x / 5 = 75

Cross multiply :

2x = 75 * 5

2x = 375

x = 375 / 2

x = 187.5

Required pond of sand =187.5 pounds

A machine can pack 80 cans in 5 minutes. Choose all of the values that show the ratio of cans to minutes.​

Answers

Answer:

16 cans per minute

Step-by-step explanation:

Its simple 80 divided by 5 is 16 so ever minute 16 cans are packed.

The ratio of the cans to minutes is 80 : 5 or 16 : 1, and the machine can pack 16 cans per minute if a machine can pack 80 cans in 5 minutes.

What is the ratio?

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.

A machine can pack 80 cans in 5 minutes.

let's denote the number of cans with X and

Time with T

So we have to find the value of X : T

X = 80 and

T = 5 minutes

X : T = 80 : 5  or

X : T = 16 : 1   (divide by 5 on both sides)

It means the machine can pack 16 cans per minute.

Thus, the ratio of the cans to minutes is 16 : 1, and the machine can pack 16 cans per minute if a machine can pack 80 cans in 5 minutes.

Learn more about the ratio here:

brainly.com/question/13419413

Please help I don’t understand! Giving brainliest

Answers

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A is 27

B is 1/3

D is also 1/3

hope this helps!

MATH PLEASE HELP ! PLEASE

Answers

Answer:

wait I am solving this

Step-by-step explanation:

mark it as the brainliest to get the answer

Expand the logarithm. Assume all expressions exist and are well-defined.
Write your answer as a sum or difference of common logarithms or multiples of common
logarithms. The inside of each logarithm must be a distinct constant or variable.
log 3y

Answers

Answer:

Step-by-step explanation:

log 3y = log(y)^3 (exponent)

or

= log(y)*log(y)*log(y)  (multiples)

The logarithmic expression y = log(3y) can be written as sum or difference of common logarithms as log(3y) = log(3) + log(y).

What is logarithm? What is a mathematical function, equation and expression?logarithmic : It is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. Mathematically -

        [tex]$\log_{b}({b^x})=x[/tex]           {where [b] is logarithmic base}

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the following logarithmic expression as -

y = log(3y)

We have the following logarithmic expression -

y = log(3y)

Using the identity of logarithm -

log(AB) = log(A) + log(B)

log(3y) = log(3) + log(y)

Therefore, the logarithmic expression y = log(3y) can be written as sum or difference of common logarithms as log(3y) = log(3) + log(y).

To solve more questions on functions, expressions and polynomials, visit the link below -

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If 4x - 8 = 4 , find the value of x​

Answers

Answer:

x=3

Step-by-step explanation:

4x-8=4

4x=12

4x/4=12/4

x=3

Answer:

x = 3

Step-by-step explanation:

Add 8 to both sides.

4x = 4 + 8

Simplify 4 + 8 to 12.

4x = 12

Divide both sides by 4.

x = 12 ÷ 4

Simplify 12 ÷ 4 to 3

x = 3

If−3x − 7 = 23, then 6x =_____?

Answers

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles

Answers

Answer:

53 gallons of fuel

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{10}{250} = \frac{x}{1325}[/tex]

Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)

[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]1325 \times 0.04\\\\= 53[/tex]

Therefore, 53 is the amount of gallons of fuel needed.

it is an math question i am doing my paper i need help 7 class question
factorize: a²-100​

Answers

Answer: (a + 10)(a - 10)

someone help me it's due today

Answers

Answer:

y=2x+6

Step-by-step explanation:

y=2x+6 you are welcome!!

can someone please help​

Answers

About what you dont write anything

Answer:

for A

the law

V=Bh or V=πr2h

I will use this V=Bh

V= 16·21

V= 336cm³

For E

the law

A= 1/2·(A + B)·H

A= 1/2·(14 + 8)·4

A= 44cm²

V= A·H

V= 44·4

V= 176 cm³

make a search for each one :

B. triangular prism volume calculator

C. pyramid prism volume calculator

D. rectangular prism volume calculator

F. cube volume calculator

please help meeee!!!

Answers

Answer:

90

Step-by-step explanation:

because 9x10 is 90 hope this helps

it’s to the power of -3

If - 2x + 3 = 7 and 3x + 1 = 5+ y, the value of y is

Answers

Answer:

The value for x is -2 and the value for y is -10 .

Step-by-step explanation:

Firstly , let's write the equations

              -2x+3=7      (   equation 1 )               3x+1 =5+y    (equation 2 )

 

solving equation 1 to get the values of x

          or ,    -2x+3=7          

      or,  -2x+3-3 =7-3 (subtracting -3 on both sides )

       or ,  -2x=4

        or,  -2x/2  =   4/2  (dividing  by two on both sides )

         or ,  -x =2

           or  x = -2

now let's substitute the values of x  in the equation 2

           3x+1 =5+y (writing second equation as it is )

           or, 3x+1-1=5+y-1 (subtracting  -1 on both sides )

            or , 3x = 4+y  

              or , 3 × -2 = 4+y  (substituting the values of x from equation 1 )

                or ,  -6  =  4 +y

                   or ,  -6-4 = 4+y-4 ( subtracting -4 on both sides  )

                     or ,    -10 = y

      Therefore the values of x and y is -2 and  -10 respectively .

                Hope it helped you .  If you find the answer useful  please rate brainliest , If not Thanks anyway .

 

The figure is made of 2 right rectangular prisms.
3 ft
3 ft
7 ft
14 ft
3 ft
12 ft
Which expression can be used to find the volume of the figure in cubic feet?
O A. 7x3 x 12
OB. 7 x 6 x 12
OC. (7+3+3) + (12+3+4)
OD. (7X 3 3) + (12 X 3 X 4)
O E. (7x 3 x 3) + (9 x3 4)

Answers

Answer:

E

Step-by-step explanation:

I took the MAP Test.

how much would you need to pay?

Answers

Answer:

a

Step-by-step explanation:

The answer is C

2 3/5 = 2x5+3/5

2 3/5 = 13/5

Cost of 13/5 pounds of stake = (13/5)x6.10

Cost of 13/5 pounds of steak =$ 15.86

What is the area of a circle with a diameter of 18.2 cm?

Use 3.14 for ∏ and round your final answer to the nearest hundredth.

The area is ___ square cm.

Answers

Answer:

260.02 cm²

Step-by-step explanation:

radius of circle= 18.2÷2

=9.1

area of circle= πr²

= 3.14×9.1²

= 260.02 cm² (nearest hundredth)

Answer:

Solution given:

diameter=18.2cm

[r]radius=diameter /2=18.2/2=9.1cm

Now

Area of circle=πr²=3.14*(9.1)²=260.02cm²

The area is _260__ square cm.

Everyone learns differently. Some people like to use models and tools to help them learn math concepts. Many people like to use a combination of these strategies. What tools and strategies do you use to help yourself learn new ideas in math?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Learning could be explained as a process of acquiring knowledge about a certain subject, trade or other aspects of life. In terms of learning about certain school subjects, a student needs to discover him or herself in other to make acquiring knowledge easy and less tedious for him or her. Now, there are designated tools more than evwr which could aid learning. A very important recommendation which could aid acquiring matematicka knowledge is the use of models to gain an insight to the fundamentals of a mathematical problem and thus seeing how it works. After this one can then break down the mathematical procedure embedded or used it aid the model manually in other to grasp the full concept of the principle.

As a contestant on a televised game show, Kiara gets to spin the big prize wheel, which has a radius of 2 meters. What is the prize wheel's area

Answers

Answer:

12.57

Step-by-step explanation:

We need to find of area of a circle and the formula for that is pie * radius ^2.

Pie * 2 squared = 12.57 rounded to the nearest hundredth

3 x 4 x 25 x c = ?
c = 16

Answers

Answer:

4800

Step-by-step explanation:

If c = 16, the equation is:

3 * 4 * 25 * 16 = 4800

The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes

Answers

Answer:   $56.25

Step-by-step explanation:

25  as a decimal is 0.25

So you multiply  0.25  * 75 = 18.75

75 - 18.75 = 56.25

The sale price  of the shoe is  $56.25.

i will mark brainliest to the first 2 people who answer

Answers

Answer:

B

-15 < 99 and | -9 | < | 15 |

Step-by-step explanation:

Those lines " | " refer to absolute value, meaning it is the distance from 0. You can easily get this just by cutting off a negative sign.

So we do know -9 is greater than -15 obviously, and the absolute value of -9 is 9, because -9 is 9 units from 0.

-15 is 15 units away, so when using absolute value, -15 is greater than -9.

Btw, you can only give one brainliest, you don't get the option to give two on brainly.

Just saying.

Idc if I get it honestly.

74,308 Problem: Round the number above to the nearest ten.

Answers

Answer:

74,310

Hope this helped! ^^

Answer:

[tex] = 74,310[/tex]

step by step explanation:

Someone pls help me!!!!

Answers

Answer:

J)  2r⁴s⁴

Step-by-step explanation:

if you know the area and the base, you can divide them to find the height

16r⁸s⁶ ÷ 8r⁴s² = 2r⁴s⁴

The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C = 65t+30, where t is the time in months. Calculate the gym membership cost over 12 month duration

Answers

Answer:

810 AUD

Step-by-step explanation:

t is time in months: you have to substitute with the number of months given from the question.

C=65t + 30 ==> substitute t with 12 since the question provided you the number of months.

--> C = 65(12) + 30 = 780 + 30 = 810

what is the solution 6x-4 =2(3x-2)

Answers

Answer:

x= 0

Step-by-step explanation:

6x-4=2(3x-2)

or,6x-4=6x-4

or,x=o

There are infinite solution of the expression.

We have to given that,

An expression to solve,

6x - 4 = 2 (3x - 2)

Now, We can simplify as,

6x - 4 = 2 (3x - 2)

Apply distributive property,

6x - 4 = 6x - 4

Combine like terms,

6x - 6x = 4 - 4

0 = 0

Hence, There are infinite solution of the expression.

Learn more about the mathematical expression visit:

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the five classes at steam elementary are going to the zoo. the teacher need to put the students in group of tens the number of students in each class is shown​

Answers

there will be 13 groups with 4 leftover

Step-by-step explanation:

1)Add all the elementary learners

2) devide the answer you get from step 1 by 10.

3)the whole number will be number of learners in each group and the remainder will be the remaining learners

what is the speed of a bus that travels 350km in 5 hours

Answers

Answer:

We need to make it a unit rate.

350/5

70/1

70km per 1 hour

Answer:

70km

Step-by-step explanation:

350÷5 =70

Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.

Answers

It clearly states to use mental math not brainly, sorry bro can't do anything for you

Emily earns $15 for each car she washes. Create an equation to represent the relationship between the numbers of cars washed c, and the amount, in dollars,Emily earns,m. HELP!!

Answers

Answer:Im not sure but btw the state test just is on how your teacher teach you and the school if u do bad it affects the school but don’t purposely not try this is what i put for the answer

Step-by-step explanation:10c 15m hopw it helps!

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