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GalinKa [24]
3 years ago
11

Use Euler's Formula to find the number of vertices in a polyhedron with nine faces: one octagon and eight triangles.

Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

The number of vertices in the polyhedron is 9  

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

V - E + F = 2

In this problem we have

F=9, E=8+8=16

substitute and solve for V

V - 16 +9 = 2

V = 2+7=9  

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60 minutes is 20% of blank kilometers
Fantom [35]
60 minutes is 20% of 300 minutes

hope i helped
5 0
3 years ago
20x+5y=120<br> 10x+7.5y=80
Trava [24]
1) 20x+5y=120
Stp1: 5y=120-20x
Stp2: 5y=(120/5 and -20x/5)= [y=24-4x]

finding x:
20x+5(24-4x)=120
Stp1: 5*24=120,-4x*5=-20
20x+120-20x=120
Stp2: subtract 120 on both sides of = sign
20x-20x=0
Stp3: subtract the variables:
[x=0]
finding y:
20(0)+5y=120
stp1: multiply 20*0
5y=120
stp2: divide 120 by 5
[y=24]

2) 10x+7.5y=80
Stp1: move 7.5y to other sign of =
10x=80-7.5y
Stp2: divide by 10
[x=8-.75y]
substitute x and re do original:
stp1: 10(8-.75y)+7.5y=80
stp2: 80-7.5y+7.5y=80
stp3: subtract variabled num. with variabled num. and whole num. with whole number: [y=0]

solve for x:
10x-7.5(0)=80
10x=80
[x=8]
check:
10(8)+7.5(0)=80
80+0=80
[80=80]
5 0
3 years ago
Read 2 more answers
What is 1 11/12-1 7/12=
kow [346]
The answer for your problem is 1/3

4 0
3 years ago
Help me please<br><br><br><br><br><br><br><br> Due tomorrow
allsm [11]
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7⋅9=p⋅8

Solve the equation for p.
p=63/8


Hope this helped! Let me know if you have any questions. Mark me Brianliest please:)
4 0
3 years ago
1 1/4 is too 1/4 as 2 is to?
loris [4]

Answer: 1/4:1 1/4 = 2:b

     ↓

1/4 / 5/4 = 2/b

4/4 * 5 = 2/b

1/5 = 2/b

b/5 = 2

b = 2 * 5

b = 10

Step-by-step explanation:

5 0
3 years ago
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