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

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!)

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

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

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

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

Answer:

-4 (as - and + = -)

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

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

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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:

6x + 13 = 12x - 20

Step-by-step explanation:

6x + 13 = 12x - 20

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

[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]

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

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.

Answer:

15 is the least common denominator between the two fractions

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 ...

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.

Answer:

16

Step-by-step explanation:

2x2x2x2 = 16

Answer:

solution : 2f+2g

Step-by-step explanation:

(f+g)(2)=

multiply each term in the parentheses by 2.

= 2f+2g

I hope tama

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

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

Answer:

$243

Step-by-step explanation:

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).

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

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).

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

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

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

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)