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stealth61 [152]
3 years ago
6

a. For each of the Five Platonic Solids, count the number V of vertices, the number F of faces, and the number E of edges. Check

that in each case V - E + F = 2
Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

1. The tetrahedron has 4 vertices, 6 edges and 4 faces. Then V-E+F=4-6+4=2

2. The cube has 8 vertices, 12 edges and 6 faces. Then V-E+F=8-12+6=2

3. The octahedron has 6 vertices, 12 edges and 8 faces. Then V-E+F=6-12+8=2

4. The icosahedron has 12 vertices, 30 edges and 20 faces. Then V-E+F=12-30+20=2

5. The dodecahedron has 20 vertices, 30 edges and 12 faces. Then V-E+F=20-30+12=2.

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What is the classification for this polynomial? X2y+3x3
Gre4nikov [31]

Answer:

quadratic

Step-by-step explanation:

hope you got it

7 0
3 years ago
6.
dimulka [17.4K]

So car A travels Distance = 60 km/hr*(1+x)

Car B travels Distance = 75 km/hr(x)

Where x is the time in hours.

Those two equations are equal when on overtakes the other

so:

60 +60x = 75x

60=15x

x=4, but my expression is written to count from when car B commenced travel. So total time is 5 hours from the car A setting off.

3 0
2 years ago
Read 2 more answers
I need help asap :):):)
Diano4ka-milaya [45]

Answer: I think the last option is the correct answer.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
9. What value of m makes this equation true?<br> 1/2 (8m - 18) = 31
OverLord2011 [107]

Answer:

m = 10

Step-by-step explanation:

The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>

7 0
3 years ago
Find the quotient of 48a^4-16a^2-32/8a^2-8
Novay_Z [31]
We know that if we had
8/6=2/2 times 4/3=1 times 4/3=4/3
find common factors in top and obttom
factor
48a^4-16a^2-32=(16)(a-1)(a+1)(3a^2+2)
8a^2-8=8(a-1)(a+1)
so we have
\frac{48a^4-16a^2-32}{8a^2-8} = \frac{(2)(8)(a-1)(a+1)(3a^2+2)}{(8)(a-1)(a+1)}= (\frac{8}{8}) (\frac{a-1}{a-1})( \frac{a+1}{a+1}) ( \frac{(2)(3a^{2}+2)}{1})=(2)(3a^2+2)=6a^2+4


answer is 6a^2+4
5 0
3 years ago
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