formula for polyhedrons is V-E+F=2
F= faces = unknown F
V= vertices=F-8
E= edges=30
(F-8)-30+F=2
add the 2 F's and 30 & 8 so you get 2F-38=2
ince -38 doesn't have variable move it to other side by adding 38 to both sides
2F=38+2 which becomes 2F=40
now divide both sides by 2 to get F=20 so there are 20 faces
Answer:
Step-by-step explanation:
This shows step by step
Hope this helps <3
Answer:
≈ 7.2
Step-by-step explanation:
Use distance formula:
d = √(8-4)² + (8-2)²
Answer:
Distance = 8.6
M = (-13.5,27.5)
Step-by-step explanation:
Distance =
=
=
=
=
=
= 8.6
Midpoint =
= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2
= -27 ÷2 ; 55 ÷ 2
= -13.5, 27.5
For f(x) = 12/(1+x²), and subinterval width 4, you are to evaluate f(1), f(5), and f(9) and combine them according to the rule
... Integral ≈ (4/3)(f(1) + 4·f(5) + f(9)) = (4/3)(6.0000 + 4·0.4615 + 0.1463) ≈ 10.66
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Simpson's rule has you combine values of f(x) with coefficients 1, 4, 2, 4, ..., 2, 4, 1, where those values are evenly spaced at the edges of an even number of subintervals. Since we have only 3 values to combine, there are no terms that have a coefficient of 2. The entire sum is multiplied by 1/3 the subinterval width.