| 1881 |
AMC 12 1989 A Q10 |
Consider the sequence defined recursively by \(u_1... |
1500.00 |
| 1882 |
AMC 12 1989 A Q12 |
The traffic on a certain east-west highway moves a... |
1500.00 |
| 1883 |
AMC 12 1989 A Q13 |
Two strips of width 1 overlap at an angle of \(\al... |
1500.00 |
| 1884 |
AMC 12 1989 A Q14 |
\(\cot 10 + \tan 5 =\)
$$\textbf{(A)}\ \csc 5 \... |
1500.00 |
| 1885 |
AMC 12 1989 A Q15 |
In \(\triangle ABC\), \(AB = 5, BC = 7, AC = 9\) a... |
1500.00 |
| 1886 |
AMC 12 1989 A Q16 |
A lattice point is a point in the plane with integ... |
1500.00 |
| 1887 |
AMC 12 1989 A Q17 |
The perimeter of an equilateral triangle exceeds t... |
1500.00 |
| 1888 |
AMC 12 1989 A Q19 |
A triangle is inscribed in a circle. The vertices ... |
1500.00 |
| 1889 |
AMC 12 1989 A Q20 |
Let \(x\) be a real number selected uniformly at r... |
1500.00 |
| 1890 |
AMC 12 1989 A Q21 |
A square flag has a red cross of uniform width wit... |
1500.00 |
| 1891 |
AMC 12 1989 A Q22 |
A child has a set of \(96\) distinct blocks. Each ... |
1500.00 |
| 1892 |
AMC 12 1989 A Q23 |
A particle moves through the first quadrant as fol... |
1500.00 |
| 1893 |
AMC 12 1989 A Q24 |
Five people are sitting at a round table. Let \(f ... |
1500.00 |
| 1894 |
AMC 12 1989 A Q25 |
In a certain cross-country meet between two teams ... |
1500.00 |
| 1895 |
AMC 12 1989 A Q27 |
Let \(n\) be a positive integer. If the equation \... |
1500.00 |
| 1896 |
AMC 12 1989 A Q29 |
Find \(\displaystyle \sum_{k=0}^{49}(-1)^k\binom{9... |
1500.00 |
| 1897 |
AMC 12 1989 A Q30 |
Suppose that \(7\) boys and \(13\) girls line up i... |
1500.00 |
| 1898 |
AMC 12 1990 A Q4 |
Let \(ABCD\) be a parallelogram with \(\angle ABC=... |
1500.00 |
| 1899 |
AMC 12 1990 A Q7 |
A triangle with integral sides has perimeter \(8\)... |
1500.00 |
| 1900 |
AMC 12 1990 A Q8 |
The number of real solutions of the equation \[|x-... |
1500.00 |