maximum

260 Questions
128 Answers

-2

52

2

+835

circle

A circular table is pushed into the corner of a square room so that a point $P$ on the edge of the table is $4''$ from one wall and $5''$ from the other wall as shown. Find the radius of the table in inches. read more ..

maximum Sep 25, 2023

-2

107

1

+835

quadrilateral question

In the diagram, $AB\perp BC$ and $BC \perp CD$. $AB = 6'', BC = 4''$, and $CD = 10''$. $E$ is the midpoint of $AD$. How many square inches are in the area of $ABCD$? read more ..

maximum Sep 25, 2023

-2

134

1

+835

numbers

A rotcaf is the number that results from adding a number and the greatest factor of the number that is less than the number. For example, the rotcaf of 9 is 9 + 3, or 12. What is the sum of the rotcafs of all the numbers between 1 and read more ..

maximum Sep 23, 2023

-2

166

0

+835

coordinate question

A rectangle with vertices A(0,0), B(5,0), C(5,3) and D(0,3) is graphed in a coordinate plane. The rectangular region determined by those points is rotated $360^\circ$ about the line $y=-2$, forming a geometric solid. The rectangular region is then rotated read more ..

maximum Sep 22, 2023

-2

148

1

+835

help plz

In the diagram, the four points have coordinates $A(0,1)$, $B(1,3)$, $C(5,2)$, and $D(4.5,0)$. What is the area of quadrilateral $ABCD$? read more ..

maximum Sep 22, 2023

-2

170

0

+835

help with coordinates

Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-12)$ and $O(2,8)$ (that is, so that $PA=PO$). Express your answer as an ordered pair $(a,b)$.

maximum Sep 22, 2023

-2

170

0

+835

help with inequality

Find all $x$ that satisfy the inequality $(2x+10)(x+3)<(3x+1)(x+6)$. Express your answer in interval notation.

maximum Sep 21, 2023

-2

127

1

+835

help plz

What is the greatest integer $n$ such that $n^2 - 11n +24 \leq 17n - 8$?

maximum Sep 21, 2023

-2

127

0

+835

inequality

Find the smallest integer that satisfies the inequality: (x - 5)(x + 5)(x - 3) > 0.

maximum Sep 21, 2023

-2

171

1

+835

help me

A circular table is pushed into the corner of a square room so that a point $P$ on the edge of the table is $4''$ from one wall and $5''$ from the other wall as shown. Find the radius of the table in inches. read more ..

maximum Sep 18, 2023

+835

-1

Do not post AoPS homework.

maximumJan 20, 2025