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Margaret [11]
2 years ago
9

Faces: Edges: Vertices:

Mathematics
2 answers:
ser-zykov [4K]2 years ago
7 0

Answer:

Faces~:~5\\Edges~:~8\\Vertices~:~5

Concept:

Here, we need to distinguish between face, edge, and vertex (plural: vertices)

A face is a single flat surface

An edge is a line segment between faces

A vertex is a corner

<em>Please refer to the attachment below for a visual understanding</em>

Solve:

<u>Count the number of faces</u>

  • One on the bottom
  • Four connecting to each side of the square at the bottom

1 + 4 = \Large\boxed{5~faces}

<u>Count the number of edges</u>

  • Four on the bottom that shape the square
  • Four on the sides that shape the triangles

4 + 4 = \Large\boxed{8~edges}

<u>Count the number of vertices</u>

  • Four on the bottom that surrounds the square
  • One on the top where triangles intersect

4 + 1 = \Large\boxed{5~vertices}

Hope this helps!! :)

Please let me know if you have any questions

sesenic [268]2 years ago
5 0

Answer:

Below.

Step-by-step explanation:

This is a square based pyramid.

There are:

5 Faces (one on the base and 4 side faces)

8 edges.   ( 4 on base and 4 on side)

5 vertices   (4 on the base and one on the top)

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PLEASE help
astraxan [27]

Answer:

The percentage of people should be seen by the doctor between 13 and

17 minutes is 68% ⇒ 2nd term

Step-by-step explanation:

* Lets explain how to solve the problem

- Wait times at a doctor's office are typically 15 minutes, with a standard

 deviation of 2 minutes

- We want to find the  percentage of people should be seen by the

 doctor between 13 and 17 minutes

* To find the percentage we will find z-score

∵ The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

∵ The mean is 15 minutes and standard deviation is 2 minutes

∴ μ = 15 , σ = 2

∵ The people should be seen by the doctor between 13 and

   17 minutes

∵ x = 13 and 17

∴ z = \frac{13-15}{2}=\frac{-2}{2}=-1

∴ z = \frac{17-15}{2}=\frac{2}{2}=1

- Lets use the standard normal distribution table

∵ P(z > -1) = 0.15866

∵ P(z < 1) = 0.84134

∴ P(-1 < z < 1) = 0.84134 - 0.15866 = 0.68268 ≅ 0.68

∵ P(13 < x < 17) = P(-1 < z < 1)

∴ P(13 < x < 17) = 0.68 × 100% = 68%

* The percentage of people should be seen by the doctor between

  13 and 17 minutes is 68%

6 0
3 years ago
The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
3 years ago
A sphere has a volume of 288 pi in^3. Find the surface area, Express your answer in pi.
Tpy6a [65]
Sphere Volume   = <span>  4/3 • <span>π <span>• r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
</span></span></span><span>r^3 = 288 / (4/3)
</span>r^3 = 216
r = 6 inches

Sphere Surface Area     =    <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area     =  4 * PI * 36

Sphere Surface Area     =  <span> <span> <span> 452.389 square inches

</span></span></span>
4 0
3 years ago
Read 2 more answers
Which of the following is not a congruence transformation? A) a reflection over the axis b) a dilation with scale factor 0.5 c)
Wewaii [24]
It would be c because this isn't transforming it
6 0
4 years ago
How do you find percentage lost
Helen [10]
First: work out the difference (decrease) between the two numbers you are comparing. Then divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase. :)
7 0
3 years ago
Read 2 more answers
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