Verify Euler's formula for

(a) Tetrahedron

(b) Hexagonal prism

Answers

Answer 1

Answer:

Euler's formula for polyhedron is:

V - E + F = 2where V- vertex, E- edge, F- face

As per the above formula the relationship between the vertexes, edges and faces is same for any polyhedron.

Lets confirm, have a look at the picture

(a) Tetrahedron, count each element:

V = 5, E = 8, F = 5

Verify

5 - 8 + 5 = 10 - 8 = 2 - correct

(b) Hexagonal prism, count each element:

V = 12, E = 18, F = 8

Verify

12 - 18 + 8 = 20 - 18 = 2 - correct
Verify Euler's Formula For(a) Tetrahedron(b) Hexagonal Prism

Related Questions

Help please!! Solve for y.

Answers

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]

PLS HELPPPPPPPPPPPPPP IM CRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

1. 3.75 or 3/4

2. 5.3

3. 4.5

4. 3.4

Step-by-step explanation:

hope this helped i tried :/

1) 3.75

2) 5.33

3) 4.5

4) 3.42

A) G
17 + 4x
H
4x+12/
1159
D
A) 12
C) 13
B) 3
D) 14

Answers

Answer:

d I do believe good luck with the answer I hope it right

In a large city’s recent mayoral election, 131,506 out of 309,153 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that 7 of them voted in the mayoral election. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

The probability that 7 of them voted in the mayoral election using the calculator is 0.1455

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The probability of registered voters actually turned out to vote:

= 131,506/309,153

p = 0.4254

n = 20

From the calculator:

P(X = 7) = 0.14546189

or

P(X = 7) = 0.1455

Thus, the probability that 7 of them voted in the mayoral election using the calculator is 0.1455

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

26x + 14 = 49x - 13
Represent x on the number line and also find x​

Answers

Answer:

x should equal 27/23 or 1 4/23 or 1.17

Step-by-step explanation:

Hope this Helped

8TH GRADE MATH PLS HELP

Answers

The answer is 17
180-163=17

Answer: x = 152% hope this will help

Step-by-step explanation:

If u moved the angle down you will find out what the answer to x is

Subtract.

7/9−1/4

Enter your answer in simplest form

Answers

Answer:

0.5277

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/9 -1/4

we need to make the fraction even bases

7x4=28 9x4=36      1x9= -9     4x9=36

28/36 -9/36

28-9=19

19/36

10. Logan places a mirror on the floor 220 cm from the base of a wall. He holds a flashlight 130 cm above the ground and shines the beam onto the mirror. How far must Logan stand back from the mirror so that the height at which the light shines on the wall is 100 cm greater than the height at which Logan holds the flashlight?

Answers

Answer:

124.35 cm

Step-by-step explanation:

Step by step solution in the attachment

pwease i need help
i will give u a crown

Answers

Answer:

9

Step-by-step explanation:

6 ÷ 2(1+2) = ?

Parenthesis first:

6 ÷ 2(3) = ?

Then do the multiplication and division:

3(3) = ?

9 = ?


PLEASE HELP FAST
What is the volume of this container?


2 in.
504 in
6 in.
72 in3
6 in.
8 in.
648 in
576 in
12 in.

Answers

Answer:

504 in3

Step-by-step explanation:

I did the I-Ready too.

Plz help fast will mark brainliest

Answers

Answer:

The answer is 2.89 in 2dp

3 cube is 27

27 minus 6.8 is 20. 2

20. 2 decide by 7 is 2.89

Answer:

  the answer would be 3

Step-by-step explanation:

Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.

Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
(a) Write down the ratio of white chocolate to milk chocolate to dark chocolate.
Give your ratio in its simplest form.​

Answers

Answer:

3:2:1

Step-by-step explanation:

24 divided by 8 is 3, 16 divided by 8 is 2, 8 divided by 8 is 1.

if x stands for am number what is the mathematical phrase that represents three more than the number​

Answers

I think it’s just

x (times) 3

What type of correlation relationship would the size of a dog and the amount of food the dog eats be and why?

Answers

Step-by-step explanation:

The ratio and proportion is the mathematical concept that can explain the correlation between the size of a dog and the amount of food it eats. For example dogs weighing 3 to 7 kg should consume 67 to 112 grams of food per day, that is, the amount of food must be proportional to the weight of the dog.

The ratio and proportion are interconnected concepts that allow the understanding of comparison between quantities.

i need help pleaseeeeeee

Answers

Answer:

For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure 60˚.

Step-by-step explanation:

what is the solution for the equation y=1/4x-7

Answers

Answer:

There are an infinate amount of solutions

Step-by-step explanation:

There are 13 girls and 12 boys in a zoom dass. Of these students, 9 girls and 5 boys always have their camera's on. What percentage of the students have their camera's on? (6.5B) zoom​

Answers

Answer:

56%

Step-by-step explanation:

9 girls + 5 boys have cameras on

this is 14 out of 25, or 56%

AC=1
Round your answer to the nearest hundredth.
B
6
70
А
?
С

Answers

Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

AC= 2.18

What is the distance between the points (13 , -19) and (-12 , -19) in the coordinate plane?

Answers

Answer:

distance = 25

Step-by-step explanation:

Classify the number 1/2 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

.natural number
.whole number
.integer
.rational number

Answers

ratinol rational number

NEED HELP ASAP!! ill mark brainliest

Answers

Answer:

number first is the answer

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the functions.

According to the power of the functions, positive power is more than the negative one hence, for any value of x, the value of function y is always positive.

Hence the answer is option D.)

===>

x==> - infinite, y => infinite and x=> infinte, y=> infinite

What is the difference between an independent variable and a dependent variable in statistics?

Answers

Answer:

The cause is the independent variable. In your study, its value is independent of other variables. The affect is the dependent variable. Its value depends on the independent variable being changed.

Step-by-step explanation:

answer-->
7x/4a
?????​

Answers

Answer:

Yes that is correct!!!!

Step-by-step explanation:

5x/ 2a − 3x/ 4a

= 14ax/ 8a2

= 14x/ 8a

= 7x/ 4a

Step-by-step explanation:

I hope this helps, tell me if you need for it to be explained more

20 x(-1) = *
Your answer
-20

Answers

Answer:

Yes that is very much correct y'know thanks for the free points

Step-by-step explanation:

Find the exact value of cos 105degrees

Answers

Answer:

[tex] \sqrt{2} - \sqrt{6} [/tex]

over 4

Moussa's family took a road trip to the Grand Canyon. Moussa fell asleep after they
had travelled 434 miles. If the total length of the trip was 700 miles, what percentage
of the total trip had they travelled when Moussa fell asleep?

Answers

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
radius of the cylinder is 5.8 cm and the length is 50 cm. Find the volume of the metal used.
step by step explain plz​

Answers

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2} h [/tex]

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):

[tex] V_{m} = V_{e} - V_{i} [/tex]

[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]    

The external radius is given by the sum of the internal radius with the tickness:

[tex] r_{e} = t + r_{i} [/tex]

Hence, the volume is:

[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

2 of 5
Work out the area of the parallelogram.
9m
6m
11m
The diagram is not drawn to scale.
m2

Answers

Step-by-step explanation:

Area of the parallelogram = 1/2 × length of parallel sides × height

= 1/2 × (9+9) ×6

= 54

Got to answer sorry
Bakdhei

1 to 8 plz plz plz help me

Answers

Answer:

1-8 = -7

Step-by-step explanation:

1 - 8

1 0 -1 -2 -3 -4 -5 -6 -7

(3.2 + 6.8)x - (36 divided by 4)x PLEASE HELPPP

Answers

Answer:

i dont no but what i got was 10x+144d^3 but do u want to sovle for x i got u X

Step-by-step explanation:

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