MathDB

13

Part of 2002 AMC 10

Problems(3)

Shortest Altitude

Source:

2/11/2008
The sides of a triangle have lengths of 15 15, 20 20, and 25 25. Find the length of the shortest altitude. (A) 6(B) 12(C) 12.5(D) 13(E) 15 \text{(A)}\ 6 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 12.5 \qquad \text{(D)}\ 13 \qquad \text{(E)}\ 15
geometryarea of a triangle
True for All Values

Source:

2/27/2008
Find the value(s) of x x such that 8xy\minus{}12y\plus{}2x\minus{}3\equal{}0 is true for all values of y y. (A)\ \frac{2}{3} \qquad (B)\ \frac{3}{2}\text{ or }\minus{}\frac{1}{4} \qquad (C)\ \minus{}\frac{2}{3}\text{ or }\minus{}\frac{1}{4} \qquad (D)\ \frac{3}{2} \qquad (E)\ \minus{}\frac{3}{2}\text{ or }\minus{}\frac{1}{4}
Soccer League Participation Increase

Source:

4/2/2013
Participation in the local soccer league this year is 10%10\% higher than last year. The number of males increased by 5%5\% and the number of females increased by 20%20\%. What fraction of the soccer league is now female?
<spanclass=′latex−bold′>(A)</span>13<spanclass=′latex−bold′>(B)</span>411<spanclass=′latex−bold′>(C)</span>25<spanclass=′latex−bold′>(D)</span>49<spanclass=′latex−bold′>(E)</span>12<span class='latex-bold'>(A) </span>\dfrac13\qquad<span class='latex-bold'>(B) </span>\dfrac4{11}\qquad<span class='latex-bold'>(C) </span>\dfrac25\qquad<span class='latex-bold'>(D) </span>\dfrac49\qquad<span class='latex-bold'>(E) </span>\dfrac12