Can a polyhedron have 10 faces, 14 vertices and 20 edges

Answers

Answer 1

Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.


Related Questions

PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)


Line 1 to Line 2:______________
Line 2 to Line 3:_______________

Answers

Line 1 to 2: Commutative Property of Multiplication, because all that changed was the order of the things being multiplied.
Line 2 to 3: Commutative Property of *Addition*, because all that changed was the order of the things being added.

All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.

Answer:

The answer above me is correct!

Step-by-step explanation:

Give them BRAINLIEST! have a good day<3 :)

y + (2/25) = 11/15
What’s y

Answers

Answer:

[tex]\frac{49}{75}[/tex]

Step-by-step explanation:

y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]

y= [tex]\frac{49}{75}[/tex]

Answer:

49/75

Step-by-step explanation:

y + 2/25 = 11/15

now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :

15y + 30/25 = 11

375y + 30 = 275

375y = 245

y = 245/375 = 49/75

the same result, of course, but a slightly different way to get there.

Calculate the area of this figure. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The figure is divided into a rectangle and a right-triangle.

The area of the figure is the sum of the individual areas of the rectangle and triangle

Area of rectangle = Length x Width = 10 ft x 8 ft = 80 ft²

Area of triangle = 1/2 x Base X Height = 1/2 x 6 ft x 8 ft =24ft²

Hence, the area of the figure is:

80 ft²+ 24ft² = 104 ft²

Answer:

104 ft^2

Step-by-step explanation:

The figure consist a rectangle and a triangle

to calculate triangle's area we multiply height and base then divide it  by two

the height of the triangle is 8 ft (the given is a special right triangle)

8*6/2 = 24 ft^2

to calculate the area of the rectangle we multiply width and length

8*10 = 80 ft^2 the total area of the figure is :

24 + 80 = 104 ft^2

1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.

Answers

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

What is the value of (x – 3) if – 5(3x – 9) = -15?

Answers

(X-3)(-15x+45)=-15
-15x2 +45x+45x-135=-15
-15x2+90x=-15+135
-15x2+90x=120

The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.

Let's solve for the value of "x" in the given equation:

-5(3x - 9) = -15

First, distribute the -5 on the left side of the equation:

-15x + 45 = -15

Now, subtract 45 from both sides to isolate the term with "x":

-15x = -60

Divide both sides by -15 to solve for "x":

x = 4

Now that we have the value of "x," we can find the value of (x - 3):

x - 3

= 4 - 3

= 1

Therefore, the value of (x - 3) is 1.

learn more about value here

brainly.com/question/29168716

#SPJ3

Simplify (3xy)^5/x^3

Answers

Answer:

[tex]243 {x}^{2} {y}^{5} [/tex]

Step-by-step explanation:

[tex] \frac{(3xy {)}^{5} }{ {x}^{3} } [/tex]

[tex] \frac{243 {x}^{5} {y}^{5} }{ {x}^{3} } [/tex]

simplify:

[tex]243 {x}^{2} {y}^{5} [/tex] ✅

divide 8 1/2 by the positive difference 4 4/5 and 7 7/10​

Answers

[tex]\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}[/tex]

[tex]\\ \sf\longmapsto \dfrac{17(10)}{2(29)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{170}{58}[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{29}[/tex]

[tex]\\ \sf\longmapsto 2\dfrac{27}{29}[/tex]

Answer:

2 27/29

Step-by-step explanation:

The positive difference is the result of subtraction of the smaller number from the greater number.

The positive difference of 4 4/5 and 7 7/10 is:

7 7/10 - 4 4/5 = 77/10 - 48/10 = 29/10

Now division:

8 1/2 : 29/10 = 17/2 * 10/29 = 85/29 = 2 27/29

Alguien me ayuda con esto?

Answers

Answer:

x=10

Step-by-step explanation:

10 a 8 son dos, entonces 14 ax es 4

Answer:

La explicación sería:

//////////////////////////

=> 9 * 2 + 4/2 = 20

=> 18 +2 =20

=> 20 =20

//////////////////////////

=> 5*2 + 8/2 = 14

=> 10 +4 =14

=> 14 =14

//////////////////////////

=> 3*2 + 10/2 = x

=> 6 + 5 = x

=> 11 = x

2x + 3y = 6
The equation x + 2y = 16 is in standard form.
What is the slope of the line?
3y = -2x + 6
X-2
6
3
-1
y y=-3x +
y= - +
O
-0.5
+2
O
0.5

Answers

9514 1404 393

Answer:

  (c)  -0.5

Step-by-step explanation:

Starting from standard form ...

  ax +by = c

and solving for y, we get the slope-intercept form ...

  y = (-a/b)x +c/b

The coefficient of x is the slope: -a/b.

For your equation x+2y=16, the slope is -1/2 = -0.5.

work ou the value of 19+7÷2-5

helllppp pls ​

Answers

Answer:

17 1/2

Step-by-step explanation:

19+7÷2-5

Solve using PEMDAS

Divide first

19 + 7/2 -5

Then add and subtract from left to right

Getting a common denominator

38/2 + 7/2 - 10/2

45/2 - 10/2

35/2

17 1/2

Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.

Answers

General Arithmetic Terms

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

We want to find a8; we know:

a1 = 9d = 4

Substitute in the formula.

[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]

To find a8, substitute n = 8

[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]

Hence, the 8th term of sequence is 37

b^3-21/5b+9 when b = 3

Answers

Answer:

-21b + 180 / 5

Step-by-step explanation:

Hey there!

b^3 - 21/5b + 9

= 3^3 - 21/5(3) + 9

= 27 - 63/5 + 9

= 72/5 + 9

= 117/5

Answer: 117/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.

A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7

Answers

Answer:

This is 3.747*11/sqrt(5)=18.4

the interval is (49.9,86.7), the SE added to and subtracted from the mean.

It is B

                          Thank You

Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution

Answers

Answer:

135

Step-by-step explanation:

250 x 54%=135

0.189 divided by 1.75=

Explain your answer

Answers

Answer:

0.189x1000=189

1.75x1000=1750

189÷1750 = 0.108

is 9.407 a natrual number?

Answers

Answer:

Sorry about that, I did not see the decimal. As liamly said, it is positive but is not a natural number because of the decimal.

Step-by-step explanation:

The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?

Answers

Answer:

64

Step-by-step explanation:

Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.

Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.

What is the following difference?
230 192ab -5 V81365

Answers

2ab (3)/192ab^2 - 5 (3)/81a^4b^5

2ab (3)/64*3*a*b^2 - 5 (3)/27*3*a^3*a*b^3*b^2

2*4*a*b (3)/3ab^2 - 5*3*a*b (3)/3ab^2

8ab (3)/3ab^2 - 15ab (3)/3ab^2

-7ab (3)/3ab^2

After the / is under the cube root

6 less than 8 times a number (x) is equal to 14

Answers

Answer:

8x-6=14

Step-by-step explanation:

Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.

evaluate the expression when x=3

Answers

Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

help me do this plz brainiest to whoever right

Answers

Answer:

3.16 miles

Step-by-step explanation:

Hi there!

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:

[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]

Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.

I hope this helps!

A garden table and a bench cost $853 combined. The garden table costs $47 less than the bench. What is the cost of the bench?

Answers

Answer:

the cost of the bench is $806

Step-by-step explanation:

853 minus 47 is 806

solve the equation 6 = 5 x -2

Answers

Answer:

8/5 = x

Step-by-step explanation:

6 = 5x - 2

~Add 2 to both sides

8 = 5x

~Divide 5 to both sides

8/5 = x

Best of Luck!

LOUNGE SUITE FOR SALE Selling Price-R15 000 Deposit -15% of selling price Monthly Payments - R800 Repayment period 24 months calculate the loan amount

Answers

Answer:

610023626728387383838

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.

Answers

Answer:

188 units cubed

Step-by-step explanation:

The volume formula for a cylinder :
V= pi R^2h

Radius = 5pi
Height = 6

V= pi (5)^2 times 6 = 471.2389

Evaluate:
[tex] \int \limits^{2}_{1} { \sin }^{3} x. \cos(2x) dx[/tex]
hello, anyone can help me if you don't mind, I am getting confused.
Thanks, I really appreciate​

Answers

Recall some identities:

sin²(x) + cos²(x) = 1

cos(2x) = cos²(x) - sin²(x)

and from the first identity, you can establish that

cos(2x) = 2 cos²(x) - 1

So, rewrite the integrand as much as possible in terms of cos(x) :

[tex]\sin^3(x) \cos(2x) = \sin(x) \sin^2(x) (\cos^2(x)-\sin^2(x)) \\\\ \sin^3(x) \cos(2x) = \sin(x) (1-\cos^2(x)) (2\cos^2(x) - 1)[/tex]

Then in the integral, substitute u = cos(x) and du = -sin(x) dx. With some rewriting, you end up with

[tex]\displaystyle \int_1^2 \sin^3(x) \cos(2x) \,\mathrm dx = -\int_{x=1}^{x=2} (1-\cos^2(x))(2\cos^2(x)-1) (-\sin(x)\,\mathrm dx) \\\\ = -\int_{u=\cos(1)}^{u=\cos(2)} (1-u^2)(2u^2-1)\,\mathrm du \\\\ = \int_{\cos(1)}^{\cos(2)} (1-3u^2+2u^4) \,\mathrm du \\\\ = \left(u-u^3+\frac25u^5\right)\bigg|_{\cos(1)}^{\cos(2)} \\\\ = \left(\cos(2)-\cos^3(2)+\frac25\cos^5(2)\right) - \left(\cos(1)-\cos^3(1)+\frac25\cos^5(1)\right) \\\\ = \boxed{\cos(2) - \cos^3(2) + \frac 25 \cos^5(2) - \cos(1) + \cos^3(1) - \frac25 \cos^5(1)}[/tex]

What is the volume of the following rectangular prism?

Answers

Answer:

[tex]volume \: of \: rectangular \: prism = base \: area \: \times height \\ \\ = length \times width \times height[/tex]

Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)

Answers

Answer:

[tex]2 {b}^{2} - 5b - 63[/tex]

Step-by-step explanation:

[tex](b - 7) \times (2b + 9)[/tex]

[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]

[tex]2 {b}^{2} + 9b - 14b - 63[/tex]

[tex]2 {b}^{2} - 5b - 63[/tex]

4x-2=18x+5
Show ur work

Answers

x = -½

Step-by-step explanation:

[tex]4x - 2 = 18x + 5[/tex]

Collect like terms and simplify

[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]

Divide both sides of the equation by 14

[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]

Answer:

x = -1/2

Step-by-step explanation:

4x-2=18x+5

-2-5=18x-4x

-7=14x

-7/14=14/14x

-1/2=x

someone to help me complete this and explain how to do it, please

42x2 y4 − 41xyz3

Answers

Answer:

use cymath

Step-by-step explanation:

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