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Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?

Answers

Answer 1

Answer:

V + F - 2 = E

Step-by-step explanation:

V - E + F = 2 --- add E to both sides

V + F = 2 + E --- subtract 2 from both sides

V + F - 2 = E

Hope this helps! :)


Related Questions

find the volume of the cone

Answers

The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]

r: radius --> 3fth: height --> 12ft [tex]\pi\\[/tex] = 3.14

Volume =  [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]

Hope that helps!

Please pe please please please please please help me

Answers

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

The price per mp3 download 5 years ago was $0.99. Now, each mp3 download costs $1.29. Which statement is true?

Answers

Answer:

inflation?

Step-by-step explanation:

nothing here

Answer:

that would be an example of inflation.

I noticed your question was not complete, so I hope this helps you as much as possible.

Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

Answers

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:

Solve this quickly please!!

Answers

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38

How could you use subtraction to find the area of a figure

Answers

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Answer:   48.6

=======================================================

Work Shown:

area = 0.5*side1*side2*sin(angle)

area = 0.5*13*7.5*sin(94)

area = 48.6312474501664

area = 48.6 square inches

Notes:

Make sure your calculator is in degree mode.The angle must be between the two sides mentioned. For more info, check out the SAS triangle area formula.

Answer: 48.6

Step-by-step explanation:

i took the test

Find the scale factor for the dilation shown.

Answers

Answer:

2

Step-by-step explanation:

The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2

using a ruler and a pair of compass only construct triangle XYZ such that XY=9.5
<YXZ=60

Answers

Answer: 22.5

Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.

if draw it with your compass your see a certain symmetry

call the tangent point on xz Q and the one on xy S

triangle XQP is congruent to XSP and is a right triangle

the two angles at x are 22.5 degrees

so PQ = PS = 4 tan 22.5

What is the value of h(3)?
o -2
0 -11
0 1
O 2

Answers

Answer:

h(3) = 1

Step-by-step explanation:

See attached image.

If I have 1 apple, and I get 2 apples, how many apples do I have

Answers

Answer:

you have 1

you get 2

2+1=3

You now have 3 apples :)

Hey!

you have 3 apples.

2+1 is 3.

Two number whose product is -168 and sum is -13

Answers

Answer:

-21 and 8

Step-by-step explanation:

-21 × 8 = -168 and -21 + 8 = -13

Hope this helps!

Jimmy is having a birthday party at the zoo. The zoio has a fixed fee for birthday parties, plus a fee per person. Jimmy is told the total charge for ten people,including himself, would be 97. 50 and the total charge for 20 people, including himself would be $175. Determine the independent and dependent variable

Answers

Answer:

independent: number of personsdependent: charges

Step-by-step explanation:

The scenario describes charges as being dependent on the number of persons. That means the independent variable is the number of persons, and the dependent variable is the total charge.

(When we say "A depends on B", that automatically defines A as being the dependent variable, and B the independent variable.)

__

Additional comment

Perhaps you also want to know the relationship between the charges c and the number of persons p. That will be ...

  c = 7.80p +19.00

You know the rate per person from the fact that adding 10 people to the party raises the cost by $78. Then the 10-person charge includes a fixed fee of $97 -78 = $19.

find H.C.F. of 144, 252 and 630​

Answers

The HCF IS 18

HOPE THIS HELPS U

Expand and simplify (2x - 5)(3x - 2)

I got -13x +10? not sure what i’m doing wrong.

Answers

Answer:

6x^2 - 19x + 10 is the answer

Step-by-step explanation:

Lets use the FOIL method to expand,

(2x - 5)(3x -2)

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

This is the expanded version of the expression above!

here is a better way of explaining it,

(2x - 5) is the first equation now lets split it up

now its 2x and -5!

now you just multiply 2x and -5 to the second equation (3x - 2)

makes sense?

Lets Simplify it,

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

6x^2 - 4x - 15x + 10

6x^2 - 19x + 10

(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)

Now you just simplify!

So as a result the answer is,

6x^2 - 19x + 10

Hope this helps :)

First multiply 2x with 3x then with (-2)
Second multiply (-5) with 3x then with(-2)

The answer will be like this
(^) this means power by

6x^2 -19x +10

Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has $3,875. 79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?.

Answers

Answer:

T=50.99

Step-by-step explanation:

Given:

I=3,875.78

P=1,900

R=4% I.e 4/100 , 0.04

T=?

I=PRT

3,875.79=($1,900)(0.04)t

3,875.79=76t

3,875.79/76= t

T=50.99

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 13 feet and a height of 13 feet. Container B has a
radius of 10 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A,
to the nearest tenth of a cubic foot?

Answers

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

Answer:

B

Step-by-step explanation:

use the values to solve this problem a=4 b=2, c=5 9a-(4b+2c)

Answers

Answer:

36 is the answer !!

Step-by-step explanation:

9(4)-(4(2) + 2(5))

36-8+10

26+10

36

ali and beth divide £35 in the ratio of 2:5 what do they get

Answers

the ratio is 2:5, so first we need to find the total units of how much is the 35 pounds is divided to.
the total units it’s divided to is 2+5=7
therefore, one unit is worth 35/7=5 pounds
since ali received 2 units and a unit is worth 5 pounds, ali received 2x5=10pounds
and beth received 5 units, 5x5=25 pounds

Ali gets £10

Beth gets £25

Step-by-step explanation:

The amount is divided into 7 equal parts since 2+5=7.

since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.

share the £35 between the 7 parts by dividing 35 by 7.

35÷7=5

Ali gets 5× £2= £10

Beth gets 5×£5 =£25

5×5=25 (Beth's portion)

A forest ranger collected data about the rainfall in a forest, in inches, on consecutive days of a month. His data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Rainfall and number line from 2 to 3 in increments of 1 tenth labeled Rainfall (in inches) with zero dots over 2, zero dots over 2 and 1 tenth, zero dots over 2 and 2 tenths, 1 dot over 2 and 3 tenths, 2 dots over 2 and 4 tenths, 1 dot over 2 and 5 tenths, 2 dots over 2 and 6 tenths, 2 dots over 2 and 7 tenths, 2 dots over 2 and 8 tenths, zero dots over 2 and 9 tenths, and zero dots over 3 box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 6 tenths, and maximum value 2 and 8 tenths

Answers

The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

What is a Box Plot?

A box plot shows the five-number summary of a data distribution which includes:

Minimum valueMaximum valueMedianUpper quartile (Q3)Lower quartile (Q1)

To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:

2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8

The five-number summary of the data points stated above would be:

Minimum value - 2.3Maximum value - 2.8Median - 2.6Upper quartile (Q3) - 2.7Lower quartile (Q1) - 2.4

Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

Learn more about box plot on:

https://brainly.com/question/14277132

Answer:

other guy is right

Step-by-step explanation:

Solve t(t+4)-1=t(t+2)+2 please show your work

Answers

Answer: T= 3/2

Step-by-step explanation:  t(t+4)-1=t(t+2)+2 simplify into t2+4t−1=t2+2t+2 now subtract t^2=t2+4t−1−t2=t2+2t+2−t2 subtract 2t(both sides)  4t−1=2t+2 2t−1=2=2t−1=2 now add 1 to both sides = 2t−1+1=2+1 than 2t=3 now divide by 2(both sides)= T= 3/2

A box of alexanders is in form of prism rectangular it is measured 13 longitud, 8 of widht, and 4.8 of height, what is the area total, area lateral and area without of one of the edges of __ (Dont know the underlined)

Answers

Answer:

lateral area and area without one side: 20.8

Please help me! This is finding slope btw

Answers

Step-by-step explanation:

for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.

Hence why it is -3.

For number 10. The slope is 0. I Forgot to write that on the pic

:)

Given the definitions of f(x) and g(x) below, find the value of (gof)(-1).
f(x)=x^2+3x+1
g(x)=x-4

Answers

Answer:

f(x)_x^3x+2+1

f(x)=3x+3

g(x)_4x

Which set of ordered pairs represents a function?
O{(-5, -1), (9,7).(-2,6),(-3,7)}
O{(-7,5),(-9,-4),(-3,-1),(-3,4)}
O{(5,-3), (1,2), (1,8),(4,6)}
O{(-2,9), (-2, 6), (1, -5), (-4,-8)}
Submit Answer

Answers

a function set does not contain any X-repeats, or namely that the x-coordinate on every pair is different, let's take a peek at these sets, Check the picture below.

there are 45 boys on the track team. About 25% of the boys were on the team last year. About how many boys were on the track team last year

Answers

Answer:

about 11 boys were on the track team last year.

Roughly approximately about 11-1/4 of fhem.

calculate the area of the figure below​

Answers

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                          13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer:

136 cm²

Step-by-step explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]

Area of the rectangle

[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]


answer for a lot of points !!!

Answers

Answer:

ABABCC

Step-by-step explanation:

DEFINITION: A rhyme scheme the ordered pattern of rhymes at the ends of the lines of a poem or verse (according to the Oxford Dictionary)

Cloud is the first rhyme in the sentence, in which we call A.

Hills doesn't rhyme with cloud, so it is B.

Crowd rhymes with cloud, so we call it A.

Daffodils rhyme with hills, so we make it B.

Trees doesn't rhyme with anything else, so we call it C.

Breeze rhymes with trees, so we make it C.

Answer: Ok the awnser is AABBCC and also its only five points but i will take it! happy christmas!!!!

Ellie is making a batch of pancakesand her recipe calls for 1 1/2 cups offlour and 1 1/4 cups of milk. If she only has 1 cup of milk, how much flour should she use to make the same pancake recipe?

Answers

Answer: 6 cups

Step-by-step explanation:

multiple the 1 1/2 by 4

Need help I’m suck on this problem

Answers

This I correct because once anything is to the power of 0 it becomes 1 so you left with 3x5x3x5to the 2nd power, after calculating that you have 9x5to the third=9x125=1125.
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