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
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

You might be interested in
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

8 0
2 years ago
I NEED HELP I’ve been stuck on this for a while now and I don’t get it I tried answering this question many times but I can’t ca
Monica [59]
Substitute each x and the respecting y to the equation
3 0
3 years ago
PLEASE ANSWER NOW
Brums [2.3K]

Answer:

15 scores are less than 90

Step-by-step explanation:

Total 11 scores are less than 90 not 15

3 0
2 years ago
15n + 24 - 4(n - 3) + 6 - 2n = 105
elena55 [62]

Just trying to win the CONTEST BUT GOOOOD LUCK

7 0
3 years ago
Read 2 more answers
The inequality 7-2/3x < x-8
romanna [79]
Am going to presume you want it solved.
Please pardon my presumption

7 - (2/3)x < x - 8,    Take all the x to one side of the inequality
-(2/3)x-x <  - 8 -7
-(5/3)x <  - 15    Divide both sides by -5/3  and inequality sign changes

x  >  (-15)/(-5/3)

x >    15  * 3/5        .     5 into 15 is 3.

x  >  3*3

x >    9

8 0
3 years ago
Other questions:
  • (number one) im just like really confused
    13·1 answer
  •  Help plz
    9·1 answer
  • Let event A = The place is a city.
    9·2 answers
  • A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadri
    15·1 answer
  • What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (6, -1)(6,−1)?
    6·1 answer
  • 11. Solve the linear inequality.
    11·1 answer
  • The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
    14·1 answer
  • Please help me on the first table!!!
    15·1 answer
  • 0=-2y+10-6x<br> 14-22y=18x
    14·1 answer
  • → 12 cm.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!