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
Pie
4 years ago
13

If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have?

Mathematics
2 answers:
atroni [7]4 years ago
5 0

Answer:

6 Vertices

Step-by-step explanation:

The Euler Formula states that for any polyhedron, if you add together the number of faces(F) and vertices(V), and subtract the number of edges(E), the answer is always two:

F + V - E = 2

8 + V - 12 = 2

∴ V = 2 - 8 + 12 = 6

Vika [28.1K]4 years ago
4 0
Hi 

Use Euler's formula for this for a 3D figure. F + V = E + 2, where F is the number of faces, V is the number of vertices, E is the number of edges, +2! You have enough info to fill in the formula to find that the number of vertices is 6.
Hoped I Helped 
You might be interested in
The function ()=2,708.92(1.12) − 12 models the amount of money in Caleb's investment account after years.
wolverine [178]

Answer:

d i think

Step-by-step explanation:

5 0
3 years ago
Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid and lowers the pH. T
Irina18 [472]

Answer:

x ≅ 20.10 torr

Step-by-step explanation:

Given that the equation which models blood pH in the question is;

pH(x)=6.1+log(800/x)

where;

pH = 7.7

x = partial pressure of carbon dioxide in arterial blood, measured in torr.

we are asked to find (x)

In order to do that, we use the given equation:

pH(x)=6.1+log(800/x)

since pH = 7.7

7.7 = 6.1 + log (800/x)

7.7 - 6.1 =  log (800/x)

1.6 =  log (800/x)

10^{1.6}= \frac{800}{x}

x= \frac{800}{10^{1.6}}

x = 20.09509145

x ≅ 20.10 torr

4 0
3 years ago
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
Ordered pair for the point
kupik [55]

Answer:

Step-by-step explanation:

(4, -3)

4 0
3 years ago
Read 2 more answers
Estevan walks to school he usually stays on the sidewalk but today he cut through the park how much shorter did he walk today th
andrew-mc [135]
Is there any other info?
4 0
3 years ago
Other questions:
  • What percent of 30 is 33
    10·1 answer
  • What is 8.275 rounded to the nearest hundred of an ounce?
    14·2 answers
  • The equation y=19x relates proportional quantities x and y. what is the value of x when y is 4?
    9·2 answers
  • Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 and y - 2x = 8
    5·1 answer
  • Andrew has pencils and erasers. The ratio of the number of his
    11·1 answer
  • Convert 52km to miles
    11·1 answer
  • Arnold bought 2 3/4 yards of string. He needs to cut it into pieces 1/4 yard lang. How many nieces can he get?
    10·1 answer
  • Would be great if someone could solve this for me I’m not too sure how to do it .
    14·1 answer
  • Please help this is due today!
    6·1 answer
  • I have a stack of $5 bills and a stack of $20 bills. I have the same amount of bills in each stack. The expression, 5n + 20n , s
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!