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N76 [4]
1 year ago
6

How many faces, edges and vertices does the shape below have?

Mathematics
2 answers:
Alex777 [14]1 year ago
4 0
<h2><u>PENTAGONAL PYRAMID</u></h2>

<h3>Answer:</h3>

Faces = 6

Edges = 10

Vertices = 6

<h3>Explanation:</h3>

A <u>face</u> is any of the flat surfaces of a solid object, meaning that the pentagonal pyramid has got 6 faces in total; 5 triangles, and 1 pentagon (5+1=6)

An <u>edge</u> is a line segment where two faces meet, and they also join each vertex with another. So if we look at the base of the pentagonal pyramid (which is a pentagon) we can see that it has got 5 edges, and then, when we look at the edges that connect the triangles with eachother, there are 5 more edges, so 5+5=10.

A <u>vertex</u> is where two or more line segments (edges) meet. The base (pentagon) has 5 vertices, and at the top, where the 5 triangles' edges connect, there is another vertex (just 1). So 5+1=6.

patriot [66]1 year ago
3 0
This is a pentagonal prism

- it has 6 faces
- 6 vertices
- 10 edges
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Scratchpad
olga nikolaevna [1]

Answer:

50 % probability that the hat is blue.

Step-by-step explanation:

3 blue and 3 black = 6 total tickets

3/6 chance of blue and 3/6 change of it being black

3/6 = 1/2 = 0.5 = 50%

5 0
3 years ago
A professor has recorded exam grades for 10 students in his​ class, but one of the grades is no longer readable. If the mean sco
Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

\frac{R+x}{10} =80

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

\frac{R}{9} = 85\\ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.

Based on the equation above, we can find what "R" is by multiplying both sides by 9:

\frac{R}{9} = 85\\R=85*9= 765

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

\frac{R+x}{10} =80\\\frac{765+x}{10} =80\\765+x=80*10=800\\765+x=800\\x=800-765=35

4 0
3 years ago
A job candidate at a large job fair can be classified as unacceptable, provisional, or acceptable. Based on past experience, a h
svp [43]

Answer:

chisquare = 31.667

degree of freedom = 2

Step-by-step explanation:

Formula for chisquare test =  (O-E)²/E

total number observations= 60 + 25 + 15 = 100                  

Estimated E,

80% x 100 = 80

15%x100 = 15

5% x 100 = 5

chisquare =

\frac{(60-80)^{2} }{80} +\frac{(25-15)^{2} }{15}+\frac{(15-5)^{2} }{5}\\

= 5 + 6.67 + 20

= 31.667

from the calculation above the value of the chisquare statistic = 31.67

the degree of freedom is the number of samples in the test  n - 1

= 3-1

= 2

I have solve this question also in a tabular form to aid understanding in the file i uploaded.

thank you and good luck!

4 0
3 years ago
Solve for the unknown variable. 144=-12(x+5)
dolphi86 [110]

Answer: x=-17


Step-by-step explanation:

We first distribute the -12 across to the (x+5)

144=-12(x+5)

144=-12x-60

Then, we add 60 to both sides.

204 = -12x

Lastly, we divide the equation by -12.

204/-12 = -12x/-12

-17 = x

3 0
3 years ago
Read 2 more answers
HELP ME WITH THIS (a+5)(b-3)
jonny [76]

Answer:

The answer is ab-3a+5b-15

Step-by-step explanation:

apply de disruptive property by multiplying each term a+5by each term b-3

Hope this helps :)

7 0
3 years ago
Read 2 more answers
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