1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena L [17]
3 years ago
10

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 polyhedro

n. How many faces does a polyhedron with 5 vertices and 8 edges have?
Mathematics
1 answer:
denis23 [38]3 years ago
8 0
V – E + F = 2

5 - 8 + F = 2

- 3 + F = 2

F = 2 + 3

F = 5

You might be interested in
Dont really understand how to do this
bija089 [108]

Answers:

t_{10} = -22 \ \text{ and } S_{10} = -85

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

Explanation:

t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4

and so on. This process may take a while to reach t_{10}

There's a shortcut. The nth term of any arithmetic sequence is

t_n = t_1+d(n-1)

We plug in t_1 = 5 \text{ and } d = -3 and simplify

t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8

Then we can plug in various positive whole numbers for n to find the corresponding t_n value. For example, plug in n = 2

t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2

which matches with the second term we found earlier. And,

tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}

---------------------

The notation S_{10} refers to the sum of the first ten terms t_1, t_2, \ldots, t_9, t_{10}

We could use either the long way or the shortcut above to find all t_1 through t_{10}. Then add those values up. Or we can take this shortcut below.

Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}

The sum of the first ten terms is -85

-----------------------

As a check for S_{10}, here are the first ten terms:

  • t1 = 5
  • t2 = 2
  • t3 = -1
  • t4 = -4
  • t5 = -7
  • t6 = -10
  • t7 = -13
  • t8 = -16
  • t9 = -19
  • t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that S_{10} = -85 is correct.

6 0
2 years ago
Suppose that events a and b are mutually exclusive with p(a) = ½ and p(b) = ⅓.
irina1246 [14]
No, a & b are not independent if they're mutually exclusive.

Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.



4 0
3 years ago
What is 1+1? Very urgent
forsale [732]

Answer:

62

Step-by-step explanation:

anything plus 1 equals 62.

Hope this helps. Have a nice day you amazing bean child.

( jk jk. It's 2)

8 0
3 years ago
Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator
laiz [17]

Answer:

\sqrt{3}

Step-by-step explanation:

cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=\sqrt{3}≈1.73

7 0
3 years ago
Keisha wants to put 170 geraniums into 4 rows. How many will be in each row and how many will be left over?
scZoUnD [109]
There will be 42 in each row with 2 left over
7 0
3 years ago
Other questions:
  • When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the
    5·1 answer
  • When maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.50 s. how many meters before a st
    12·1 answer
  • Graph the equation.<br> y = 5x − 4
    15·2 answers
  • Find the area of Region II for this figure. A) 4 square units B) 16 square units C) 12 square units D) 36 square units
    10·1 answer
  • ERROR ANALYSIS. Sandra drew the triangle. Rika said that the lengths couldn’t be correct. With which student do you agree? EXPLA
    11·1 answer
  • Factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor
    13·1 answer
  • The height of Mount Everest is 8,848 m and the height of Aconcagua is 6,962 m.
    14·2 answers
  • Tom goes on hoilday south africa
    6·2 answers
  • 4.06 Question 5
    9·1 answer
  • What is the ratio of 1400kg and 0.76kg
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!