euler formula find the number of edges of a polyhedron of 6 faces and 4 verticies

Answers

Answer 1

Euler's polyhedron formula, V − E + F = 2

[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]

Related Questions

Choose the graph that matches the inequality ­–x + y ≥ 2

Answers

Answer:

D

Step-by-step explanation:

-x + y >= 2

first of all, it means it includes the line (the "=" part).

that eliminates B and C.

then just look at the line function itself :

-x + y = 2

y = x + 2

and now

y >= x + 2

so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.

The required graph has been attached below which represents the given inequality ­–x + y ≥ 2. which is the correct answer that would be an option (D).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question below as

–x + y ≥ 2

First and foremost, it signifies that it includes the line (the "=" element).

This rules out B and C.

Then evaluate the line function itself:

-x + y = 2

y = x + 2

and now

y ≥  x + 2

As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.

Thus, the required graph has been attached below which represents the given inequality ­–x + y ≥ 2.

Hence, the correct answer would be an option (D).

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

12 Times the product of 43 and a number B

Answers

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

Evaluate the expression for p = 2.4 and q = 8.

Write your answer as a decimal or whole number.

pq =

Answers

Answer:19.2

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

pq is the same as p x q.

then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number

how do you solve this

Answers

Answer:

See below:

Step-by-step explanation:

So, the first step to solving the problem is to find out what type of triangle it is

and what rule of goemetry we can use to solve it.

Finding What Theorem We Can Use

So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.

One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:

[tex]<ABC= <ACB[/tex]

Since we know this rule, we can solve for the equation.

Solving

We can solve for this by using two things that we know:

+ Sum of all angles in a triangle is 180 degrees.

+ Bottom two sides are congruent.

Since we know that, we can solve for the answer:

[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]

After solving, we know that x is 50 degrees!

Cheers!

(Feel free to comment a question if you didn't understand something!)

Find the slope of each line of the graphs to the right. Which graph has the greater​ slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.

Answers

Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

Write an equation for a line with a slope of (-2) and the point (5,9)

Answers

Answer:

2x+y-19=0

Step-by-step explanation:

Slope = -2

The line passes through the points (5,9)

The equation of the line is

y-9 = -2(x-5) (Gradient and 1 point form)

y-9 = -2x+10

2x+y-19 = 0

Could somebody help me with this problem

Answers

Answer:

  72.8 cm³

Step-by-step explanation:

The relevant formula is ...

  V = Bh

Using the given values, you find the volume to be ...

  V = (10.4 cm²)(7 cm) = 72.8 cm³

what is the equation of the trend line in the scatter plot

Answers

Answer: y = -x + 8

When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)

How to factor a tri, quad, or polynomial.

Answers

Explanation:

Factoring to linear factors generally involves finding the roots of the polynomial.

The two rules that are taught in Algebra courses for finding real roots of polynomials are ...

Descartes' rule of signs: the number of positive real roots is equal to the number of coefficient sign changes when the polynomial is written in standard form.Rational root theorem: possible rational roots will have a numerator magnitude that is a divisor of the constant, and a denominator magnitude that is a divisor of the leading coefficient when the coefficients of the polynomial are rational. (Trial and error will narrow the selection.)

In general, it is a difficult problem to find irrational real factors, and even more difficult to find complex factors. The methods for finding complex factors are not generally taught in beginning Algebra courses, but may be taught in some numerical analysis courses.

Formulas exist for finding the roots of quadratic, cubic, and quartic polynomials. Above 2nd degree, they tend to be difficult to use, and may produce results that are less than easy to use. (The real roots of a cubic may be expressed in terms of cube roots of a complex number, for example.)

__

Personally, I find a graphing calculator to be exceptionally useful for finding real roots. A suitable calculator can find irrational roots to calculator precision, and can use that capability to find a pair of complex roots if there is only one such pair.

There are web apps that will find all roots of virtually any polynomial of interest.

_____

Additional comment

Some algebra courses teach iterative methods for finding real zeros. These can include secant methods, bisection, and Newton's method iteration. There are anomalous cases that make use of these methods somewhat difficult, but they generally can work well if an approximate root value can be found.

Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?

Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km

Answers

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

d = 8km/h × 2h = 16km

Serena ran 16km in these 2 hours.

Answer:

the correct answer is 16km

Step-by-step explanation:

pl.z dont delete this

help loll i need an 100

Answers

Answer:

-4 (as - and + = -)

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answers

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2

Can Someone please help me with this Math homework? Please respond ASAP

Answers

It’s y=x+5 your welcome have a nice day

solve for x 10 points
3 1/5−1/4x=−4/5

Answers

3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?

Answers

Answer:

22

Step-by-step explanation:

10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22

18 girls now.
20 x 10% = 2
20-2=18

if someone would me it would meaqn alott

Answers

Answer:

ration of bream to tench to carp

12: 7: 21

Step-by-step explanation:

12/40 = bream

28/40 = not bream

(28/40) x (1/4) = tench

(28/40) x (3/4) = carp

tench = (28/40) x (1/4)

= 7/40

carp = (28/40) x (3/4)

= 21/40

ration of bream to tench to carp

12: 7: 21

Answer:

12:7:21

Step-by-step explanation:

If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).

A rectangle has a length that is 4 inches longer than it’s width .its perimeter is 36 inches which of the following is its area
54
64
77
81

Answers

Answer:

Area=77

Step-by-step explanation:

P=36

P=2l+2w

l=w+4

P=2(w+4)+2w

P=2w+8+2w

P=4w+8

36=4w+8

28=4w

w=7

l=7+4

l=11

A=lw

A=77

The answer is 77 please mark as brainliest i need pints

what is the correct answer?!!

Answers

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sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?

Answers

Answer:

$243

Step-by-step explanation:

-
Which equation represents a line which is parallel to the line 7y - 4x = -14?

Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3

Answers

it should be y=1x+2 but if it isn’t let me know and i’ll check my mistakes.

6x + 13 = 12x - 20 solutions

Answers

Answer:

6x + 13 = 12x - 20

Step-by-step explanation:

6x + 13 = 12x - 20

Write the linear equation in slope-intercept form and simplify.
–4x + 13y = 7

Answers

[tex]\\ \sf\longmapsto -4x+13y=7[/tex]

[tex]\\ \sf\longmapsto 13y=4x+7[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4x+7}{13}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}[/tex]

Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?

Answers

The final price will be $951.93

Step by step explanation:

%7 of 899 is 62.93.

889 + 62.93 = 951.93

Hope this helps!! :)

Answer:

$961.93

Step-by-step explanation:

7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.

6-3b-6= -15
i need help asappl

Answers

Hello there!

6-3b-6=-15

-3b=15+6-6

-3b=15

b=-3

Hope it helps you!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

b=5

Step-by-step explanation:

6-3b-6=-15

     -3b=-15

      3b=15

        b=15÷3

          =5

Find the least common denominator between the two fractions 2/3 and 3/5

Answers

Answer:

15 is the least common denominator between the two fractions

what would the answer be need help

Answers

Answer:

The equation would change to be f(x) = 12x + 50

Step-by-step explanation:

The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.

This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.

Thus, your new equation will be f(x) = 12x + 50

i need help asap pls & ty

Answers

Answer:

solution : 2f+2g

Step-by-step explanation:

(f+g)(2)=

multiply each term in the parentheses by 2.

= 2f+2g

I hope tama

Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.

Answers

The lower class limit is simply the least data element that can enter a class.

The first five lower class limits are: 75 , 96, 117, 138 and 159

The given parameters are:

[tex]\mathbf{Min = 75}[/tex]

[tex]\mathbf{Max = 280}[/tex]

[tex]\mathbf{Class = 10}[/tex]

Calculate the range

[tex]\mathbf{Range = Max - Min}[/tex]

[tex]\mathbf{Range = 280 - 75}[/tex]

[tex]\mathbf{Range = 205}[/tex]

Divide by the number of classes, to determine the class width

[tex]\mathbf{n =\frac{205}{10}}[/tex]

[tex]\mathbf{n =20.5}[/tex]

Approximate

[tex]\mathbf{n =21}[/tex]

So, the lower limits are:

[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]

[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]

Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159

Read more about lower class limits at:

https://brainly.com/question/7949481

Decrease £5480 by 10%

Answers

Step-by-step explanation:

the currency does not matter (only if we get into any fractions of the main unit and have to name the fractions properly). % is usually about the number itself.

so,

5480 = 100%

1% = 100%/100 = 5480/100 = 54.8

10% = 1% × 10 = 54.8×10 = 548

and so,

£5480 - 10% = 5480 - 548 = £4932

if course, because of the special number 10% we could have gotten the answer faster, but I wanted to show you the full line of thinking when dealing with %. and needed when the number is not so nice.

Answer
€493.2
Explanation
5480 multiply by 10/100
That mean 5480 multiply 0.1 =548
548- percentage decrease which is(90%)
That mean
548multiply 0.9= €493.2

What is 2 raised to the fourth power?​

Answers

Answer:

16

Step-by-step explanation:

2x2x2x2 = 16

2^4 would be the same as 2x2x2x2

2x2x2x2 = 16 !!
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