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

How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.

Answers

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

Select one:

A- 25%

B- 15%

C- 20%

D- 30%

Answers

Answer:

what i dont get what you are trying to ask

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

honestly i don't know i'm just guessin so i can get points

Solve the triangle for all missing sides and angles

Answers

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1​

Answers

A behsnsnnfnfnfhdbdbdnd hdjdns. Dhjdns fjjd rush d end d s

pLEASE I BEG OF U HELP - ill give brainliest

Answers

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference

Answers

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]

Therefore, the common difference is 6.

A rectangular is 11 inches long and 8 inches wide. Find its area

Answers

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

Find the value of x. Using trig

Answers

Hi there! We can find the value of x by using this equation.

[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]

If you remember, tanx = opposite/adjacent. We focus on the angle x currently.

Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.

[tex] \large{arctan( \frac{19}{23} )} = x[/tex]

You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.

arctan(19/23) is 0.69

Then we round up and get 0.7

Hence, the value of x ≈ 0.7

Answer

x ≈ 0.7 (rounded)

Questions can be asked through comment.

Hope it helps, and Happy Learning! :)

Find the volume of the given figure.
5
9
8

Answers

The answer is 360 because 5 times 9 is 45 times 8 is 360

Answer:

179.996

Step-by-step explanation:

mr.lewis shared 3/4 of a loaf of bread equally aming her children what fraction of the whole loaf would 4 of her children recieve in total

Answers

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

heyy please help with this question - i'll give brainliest :))

Answers

Answer:

B. 147 cm2

Step-by-step explanation:

28? I think .. sorry if wrong

The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)

Answers

Each young person received 200 circulars.

3,000/15= 200

I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...

Answers

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

Please help and quick !

Answers

Answer:

x =answer is 800 m so good luck

Answer:

x=800

Step-by-step explanation:

I think. Not sure.

please help me with this one

Answers

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

120! Hope it helped

Anyone know this?I need help

Answers

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4

Answers

Answer: The correct option is (D) 4.

Step-by-step explanation:

According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.

Given:

DE = 2

CE = 6

BE = 3

Now calculating the the value of EA.

As per theorem:

[tex]DE\times CE=BE\times EA[/tex]

Now putting the all the given values in this expression, we get:

[tex]2\times 6=3\times EA\\\\EA=4[/tex]

Therefore, the measure of EA is 4.

which line is parallel to y = 1/2x + 6
and which line is perpendicular to y = 3x - 8

Answers

y = 1/2x + x where x is any real number

y= -1/3 + x where x is any real number

Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).

Step-by-step explanation:

help now asap ill give brainliest

Answers

Answer:

288 square inches

Step-by-step explanation:

since we are not told what to find, we can as well find the volume of the prism

Volume of the prism = BH

B is the base area = 1/2 * 6 * 8

B = 48/2

B = 24 square inches

H is the height of the prism = 12in

Volume of the prism = 24 * 12

Volume of the prism = 288 square inches

Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer:

x = 77.5

Step-by-step explanation:

1. Use cross-multiplication to find x.

[tex]\frac{13}{21} =\frac{48}{x}[/tex]

[tex]13x =1008[/tex]

2. Divide and round.

x ≈ 77.5

In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *

A. 16
B. 32
C. 48
D. 66

Answers

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

Helpppppppppppppppppppp

Answers

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

What is the approximate area of a circle with a diameter of 10 in?

A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2

Answers

Answer:

Hello! answer: 78.5 in2

Step-by-step explanation:

IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14

area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25

25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!

The approximate area of a circle with a diameter of 10 in is,

⇒ Area of circle = 78.5 in²

Given that;

Diameter of circle = 10 in.

Now, We know that;

Area of circle = πr²

Where, 'r' is radius of circle.

Here, Diameter of circle = 10 in.

Hence, Radius = 10 / 2 = 5 in

Thus, We get;

⇒ Area of circle = πr²

Area of circle = 3.14 x (5)²

⇒ Area of circle = 78.5 in²

Thus, The approximate area of a circle with a diameter of 10 in is,

⇒ Area of circle = 78.5 in²

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

i need to finish this usa test prep now plz help

Answers

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

Find the ratio of the areas of two circles with radii 4 and 12

Answers

Answer:

1:9

Step-by-step explanation:

~Refer to the attachment for the solution.

I need help on this please it would really help me alot

Answers

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Find the value of x. Please help

Answers

Answer:

64

Step-by-step explanation:

height of the hypotenuse:

[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]

36 : height = height : x

36 : 48 = 48 : x

x= 48^2/36 = 64

Answer:

X = 64

Step-by-step explanation:

Pythagoras Theorem

Similar Shapes

6 + (8 x 3) - 9 Enter the value

Answers

Answer:

Hello, so the answer is 21.

Step-by-step explanation:

Okay so first we want to do it order, so the order you do it in is the order of PEMDAS which stands for  Parentheses, Exponents, Multiplication, Division , Addition and Subtraction.

So in this situation we have parenthesis, multiplication, subtraction and addition, so we start with the parenthesis, (8 x 3) which is 24. So then we move on to +6 (positive six) and -9 (negative 9) basically -9 minus 6 is -3.

Sooo now we have -3 and 24. The three is negative because -9 minus 6 is -3, and you have to put the sign of the bigger number.

Now, 24 minus 3 equals 21. So there we have it :)

Hope I helped!

Given the following quadratic function what’s the value of a, B, and C?

f(x)= 3x^2 - 5x -12

Answers

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

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