All Questions ⁺⁰235755 Questions

0

1

1

+564

Algebra

Let f(x) = \sqrt{x}
Find the largest three-digit value of x such that f(x) is an integer.

Pythagorearn Nov 15, 2024

0

1

1

+564

Algebra

Compute
\frac{1}{1 \times 4} + \frac{1}{7 \times 10}

Pythagorearn Nov 15, 2024

0

1

0

+564

Algebra

Let a be a real number such that a - \frac{1}{a} = 4 + a^2 + \frac{1}{a^2}. Compute a^3 - \frac{1}{a^3}.

Pythagorearn Nov 15, 2024

0

1

1

+279

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

bIueb3rry Nov 15, 2024

0

1

0

+279

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

bIueb3rry Nov 15, 2024

0

1

0

+279

Geometry

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

bIueb3rry Nov 15, 2024

0

1

0

+279

Geometry

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

bIueb3rry Nov 15, 2024

0

1

0

+704

Counting

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

booboo44 Nov 15, 2024

Nov 14, 2024

0

1

0

+4

math

what is the variation of -3 and positive 8

Billyboy125670 Nov 14, 2024

0

1

0

+704

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

booboo44 Nov 14, 2024

0

1

0

+704

Counting

The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both contain read more ..

booboo44 Nov 14, 2024

0

1

0

+704

Counting

The grid below is made up of line segments, like the line segment in red. There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected number of squares read more ..

booboo44 Nov 14, 2024

0

1

0

+2669

Geometry

Let $PQRSTUVW$ be a rectangular prism, as shown. The area of face $TUVW$ is $10,$ the area of face $TUQP$ is $10,$ and the area of face $TPSW$ is $10.$ Find the volume of the rectangular prism.

LiIIiam0216 Nov 14, 2024

0

1

0

+2669

Geometry

Find the total surface area and the volume of the conical frustum below.

LiIIiam0216 Nov 14, 2024

0

1

0

+2669

Geometry

Let $ABCD$ be a regular tetrahedron. Let $E$, $F$, $G,$ $H$ be the centers of faces $BCD$, $ACD$, $ABD$, $ABC$, respectively. The volume of pyramid $DEFG$ is $18.$ Find the volume of pyramid $EFGH$

LiIIiam0216 Nov 14, 2024

0

1

0

+2669

Geometry

The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.

LiIIiam0216 Nov 14, 2024

0

1

1

+365

Geometry

In cyclic quadrilateral $PQRS,$
angle P = angle Q = angle R
Find the largest angle in quadrilateral $PQRS,$ in degrees.

MeIdHunter Nov 14, 2024

0

1

0

+365

Geometry

Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.

MeIdHunter Nov 14, 2024

1 Online Users