maximum

256 Questions
128 Answers

-2

45

2

+818

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. lire plus ..

maximum 25 sept. 2023

-2

95

1

+818

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 $ABCD$? lire plus ..

maximum 25 sept. 2023

-2

111

1

+818

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 lire plus ..

maximum 23 sept. 2023

-2

133

0

+818

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 lire plus ..

maximum 22 sept. 2023

-2

122

1

+818

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 $ABCD$? lire plus ..

maximum 22 sept. 2023

-2

138

0

+818

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 22 sept. 2023

-2

141

0

+818

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 21 sept. 2023

-2

96

1

+818

help plz

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

maximum 21 sept. 2023

-2

96

0

+818

inequality

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

maximum 21 sept. 2023

-2

138

1

+818

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. lire plus ..

maximum 18 sept. 2023

+818

-1

Do not post AoPS homework.

maximum20 janv. 2025