Geometry
The vertices of a regular 10-gon are labeled V_1, V_2, \ldots V_n, which is a permutation of \{ 1, 2, \ldots, 10\}. Define a neighboring sum to be the sum of 3 consecutive vertices V_i, V_{i+1} and V_{i+2} [where V_{11}=V_1, V_{12}=V_2]. For each permutation \sigma, let N_\sig...
Geometry
ABCD is a trapezoid with AB < CD and AB parallel to CD. \Gamma is a circle inscribed in ABCD, such that \Gamma is tangent to all four sides. If AD = BC = 25 and the area of ABCD is 600, what is the radius of \Gamma?
Geometry
Two points are chosen uniformly at random on the unit circle and joined to make a chord C_1. This process is repeated 3 more times to get chords C_2, C_3, C_4. The probability that no pair of chords intersect can be expressed as \frac{a}{b} where a and b are coprime positive i...
Geometry
Two points are chosen uniformly at random on the unit circle and joined to make a chord C_1. This process is repeated 3 more times to get chords C_2, C_3, C_4. The probability that no pair of chords intersect can be expressed as \frac{a}{b} where a and b are coprime positive i...
Geometry
When writing a math expression, any time there is an open bracket "(", it is eventually followed by a closed bracket ")". When we have a complicated expression, there may be several brackets nested amongst each other, such as in the expression (x+1)*((x-2) ...
Science
Please help me with matching the stages of the meiosis to its proper description. Sentences: 1. Members of each homologous pair separate from each other (chromatids) still remain together). 2. Homologous chromosomes pair up with each other and chromosomes 'cross over' ...
geochemistry
@DrBob222: I know how to do redox problems. It's just that this problem has a specific answer with the coefficients being 5,4=>2,4,1,3. Where no protons remain in the final answer
geochemistry
Been trying to balance this equation for a while, but can't get the right answer. any help would be apperciated! CH2O (aq) + NO3 - ---> N2 + HCO3 - + CO2(g)
compound interest
1. If you were to place $15,000 in the bank at 3% interest, how much would you have in the bank after one year if the interest were compounded quarterly?
Fiance
Use your knowledge of income statements to fill in the missing items: Sales Cost of goods sold $575,000 Gross profit $1,600,000 General and administrative expense $200,000 Selling and marketing expense $ Depreciation $50,000 Operating income $ Interest $100,000 Income before t...
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