MathDB

11

Part of 2023 AMC 12/AHSME

Problems(2)

2020 AMC 12B/7 moment

Source: 2023 AMC 12A #11

11/9/2023
What is the degree measure of the acute angle formed by lines with slopes 22 and 13\tfrac{1}{3}?
<spanclass=′latex−bold′>(A)</span> 30<spanclass=′latex−bold′>(B)</span> 37.5<spanclass=′latex−bold′>(C)</span> 45<spanclass=′latex−bold′>(D)</span> 52.5<spanclass=′latex−bold′>(E)</span> 60<span class='latex-bold'>(A)</span>~30\qquad<span class='latex-bold'>(B)</span>~37.5\qquad<span class='latex-bold'>(C)</span>~45\qquad<span class='latex-bold'>(D)</span>~52.5\qquad<span class='latex-bold'>(E)</span>~60
AMCAMC 12AMC 12 Aanalytic geometrygraphing lines2023 AMC2023 AMC 12A
lana del rey

Source: 2023 AMC 12B #11

11/15/2023
What is the maximum area of an isosceles trapezoid that has legs of length 11 and one base twice as long as the other? <spanclass=′latex−bold′>(A)</span>54<spanclass=′latex−bold′>(B)</span>87<spanclass=′latex−bold′>(C)</span>524<spanclass=′latex−bold′>(D)</span>32<spanclass=′latex−bold′>(E)</span>334 <span class='latex-bold'>(A) </span>\frac 54 \qquad <span class='latex-bold'>(B) </span> \frac 87 \qquad <span class='latex-bold'>(C)</span> \frac{5\sqrt2}4 \qquad <span class='latex-bold'>(D) </span> \frac 32 \qquad <span class='latex-bold'>(E) </span> \frac{3\sqrt3}4
geometrytrapezoidAMCAMC 12area2023 AMC2023 AMC 12B