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sergey [27]
3 years ago
8

A convex polyhedron has (a + 3) faces, (2a) vertices, and (4a – 1) edges. What is the value of a? a =

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0

Answer:

a = 2

Step-by-step explanation:

BECAUSE I'M CORRECT!

rusak2 [61]3 years ago
4 0
Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1

V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2

Answer: The value of a is: a=2

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Plz answer my question quickly!!!!! First person to respond will get brainliest!!!!!
garri49 [273]

Answer:

The Correct and final Answer Is

D) Or option 4

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4 0
3 years ago
Read 2 more answers
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
Solve the equation | z - 12 = 9
MariettaO [177]

Answer:

21

Step-by-step explanation:

21-12=9

4 0
3 years ago
Read 2 more answers
Can someone help me with this problem pls
GREYUIT [131]

Answer:

my answer was 7.5

Step-by-step explanation:

    2

2b+3b-10

4b+3b-10

10-7b=3b fraction bar means divide so...

3b

__                       2

4b because... b-2b=4b and 8-4b=4b

3/4 =7.5 because 4 cant go into three so you add a decimal and a zero and move decimal up and 4 can go into 30 7 time which equals 28 and 30-28 is 2 add another zero and its 20 and 4 goes in 5 times which equals 20 and 20-20=0 so its 7.5 (i hope this helps ;)


8 0
3 years ago
Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at
Over [174]

Answer:

2 gigabytes of data

Step-by-step explanation:

Given

Amount Jason keeps per month = $68.90

Cost of flat per month = $60.50

Balance for data = 68.90-60.50

Balance for data = $8.40

If 1Gigabyte = $4

x = $8.40

Cross multiply

4x = 8.40

x = 8.40/2

x = 2.20

Hence Jason can only use 2 gigabytes of data while staying within his budget

7 0
2 years ago
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