All Questions ⁺⁰236075 Questions

0

21

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+1557

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

NotThatSmart ●

parmen Jun 8, 2024

-2

17

1

+219

Geometry

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area of triangle PQR

BRAlNBOLT Jun 8, 2024

-2

17

1

+219

Geometry

In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $1$ and $BC = \sqrt{3}$, then find $AB$. read more ..

BRAlNBOLT Jun 8, 2024

-3

14

1

+219

Algebra

Let x and y be nonnegative real numbers. If xy = \frac{2}{5}, then find the minimum value of 6x + \frac{3}{5y}.

BRAlNBOLT Jun 8, 2024

-3

15

1

+219

Algebra

The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y - 12x + 14y + 26. What is the temperature of the coldest point in the plane?

BRAlNBOLT Jun 8, 2024

0

21

1

+1557

coordinates

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = 3x + 1, and A = (7,1).

parmen Jun 8, 2024

Jun 7, 2024

0

14

1

+667

Geometry

In rectangle WXYZ, A is on side \overline{WX}, B is on side \overline{YZ}, and C is on side \overline{XY}. If AX = 2, BY = 4, \angle ACB = 90^\circ, and CY = CX, then find AB.

siIviajendeukie Jun 7, 2024

0

15

1

+667

Rectangle

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $BY = 2$ and $BZ = 4$, then what is the area of rectangle $WXYZ$?

siIviajendeukie Jun 7, 2024

0

9

1

+667

Circle

A circle has a radius of 15. Let $\overline{AB}$ be a chord of the circle, such that AB = 4. What is the distance between the chord and the center of the circle?

NotThatSmart ●

siIviajendeukie Jun 7, 2024

0

12

1

+667

Geometry

Triangle ABC is isosceles with AB = BC. If AC = 20 and the inradius is 5, then find the perimeter of triangle ABC.

siIviajendeukie Jun 7, 2024

+1

9

2

+1938

400 Points Special!

Ummm, I got bored and I hit 400 points, so why not ask a question for fun? (What am I doing with my life LOL)
1. The terminal side of angle θ (read as: theta) in standard position passes through the point (–5, 12). Find the sine, read more ..

NotThatSmart Jun 7, 2024

-3

22

1

+219

Algebra

All members of our painting team paint at the same rate. If 20 members can paint a 2000 square foot wall in 40 minutes, then how long would it take the 20 members to paint a 6000 square foot wall, in minutes?

BRAlNBOLT Jun 7, 2024

-3

8

1

+219

Algebra

A mathematician works for t hours per day and solves p problems per hour, where and are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve 4p+5 problems per hour. In fact, he only works read more ..

BRAlNBOLT Jun 7, 2024

-3

17

1

+219

Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% water, by weight. After two days in the sun, the water content of the berries was only 90%, by weight. What was the total weight of read more ..

BRAlNBOLT Jun 7, 2024

0

16

1

+667

Geometry

In triangle ABC, angle ACB = 90^\circ. Let H be the foot of the altitude from C to side \overline{AB}.
Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

siIviajendeukie Jun 7, 2024

0

13

1

+667

Geometry

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 40^\circ,$ $\angle ABC = 45^\circ,$ and $AB = 10,$ then find the area of triangle $ABC.$

siIviajendeukie Jun 7, 2024

0

18

1

+667

Geometry

A square is inscribed in a right triangle, as shown below. Find the area of the square.
The right triangle has legs of 1 and 1.

siIviajendeukie Jun 7, 2024

0

13

1

+842

Geometry

Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.

NotThatSmart ●

RedDragonl Jun 7, 2024

0

9

1

+842

Geometry

In triangle ABC, angle BAC = 120 degrees, AB = x, AC = 2x + 1, BC = 3x + 5. Find x.

RedDragonl Jun 7, 2024

0

18

0

+842

Geometry

Let ABC be a triangle. Let X be a point on \overline{AC} such that \angle BXA = 90^\circ. If \angle ABC = 90^\circ, AX = 6, and CX = 6, then what is BX?

RedDragonl Jun 7, 2024

0

13

0

+842

Geometry

Let ABC be a triangle. Let D be a point on side \overline{AC} such that line segment \overline{BD} bisects \angle ABC. If \angle A = 30^\circ, \angle C = 80^\circ, and AC = 12, then find the area of triangle ABD.
Give read more ..

RedDragonl Jun 7, 2024

0

10

1

+868

Algebra

Let x, y, and z be nonzero real numbers. Find all possible values of
\frac{x}{x} + \frac{y}{y} + \frac{z}{z} + \frac{xyz}{xyz}

eramsby1O1O Jun 7, 2024

0

15

1

+868

System

The system of equations
\frac{xy}{x + y} = 2, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 2
has exactly one solution. What is z in this solution?

NotThatSmart ●

eramsby1O1O Jun 7, 2024

0

26

1

+868

Counting

Find the number of ways that Magnus can give out $9$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.

eramsby1O1O Jun 7, 2024

0

12

1

+868

counting

Find the number of ways that Magnus can give out $9$ identical stickers to $2$ of his friends. (Not everyone has to get a sticker.)

eramsby1O1O Jun 7, 2024

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