All Questions ⁺⁰235702 Questions

0

14

0

+952

Algebra

Suppose a\neq 0. Compute \log_{8a} b in terms of a and b.

Hi6942O Aug 23, 2024

0

5

1

+544

Geometry

Quadrilateral $ABCD$ is a parallelogram. Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$ The area of triangle $EBF$ is $5,$ and the area of triangle $EAD$ is $5.$ Find the area of parallelogram read more ..

cooIcooIcooI17 Aug 23, 2024

0

3

1

+1839

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 90^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle XZW$, in degrees.

ABJeIIy Aug 23, 2024

0

6

0

+1839

Geometry

Let $P$ be a point inside rectangle $ABCD$. If $AP = 3$, $BP = 3$, and $CP = 3$, then find $DP$.

ABJeIIy Aug 23, 2024

0

10

0

+2653

Geometry

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle CAD = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

LiIIiam0216 Aug 23, 2024

0

4

1

+834

Geometry

In triangle $ABC,$ $AB = 15,$ $BC = 9,$ and $AC = 10.$ Find the length of the shortest altitude in this triangle.

gnistory Aug 23, 2024

0

5

1

+688

Geometry

Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?

booboo44 Aug 23, 2024

0

5

1

+1222

Geometry

Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.

learnmgcat Aug 23, 2024

+1

5

4

+77

CPhill... I NEED YOU!

Let p(x) be defined on such that

where y is the greatest prime factor of Express the range of p in interval notation.

NotLatePY Aug 23, 2024

Aug 22, 2024

0

3

1

+253

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 $AF = 1$ and $DF = 2$, then what is $BD$?

jaekg Aug 22, 2024

0

6

1

+337

Geometry

Let $ABCD$ be a square with side length $1.$ A laser is located at vertex $A,$ which fires a laser beam at point $X$ on side $\overline{BC},$ such that $BX = \frac{1}{2}.$ The beam reflects off the sides of the square, until it ends up at another read more ..

MeIdHunter Aug 22, 2024

0

4

1

+337

Geometry

Let A1 A2 A3 ... A15 be a regular polygon. A rotation centered at $A_4$ with an angle of $\alpha$ takes $A_3$ to $A_5$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees.

MeIdHunter Aug 22, 2024

0

6

1

+337

Geometry

Point $B$ is the image of point $A$ under a dilation with center $O$. If $OB = 30$, and the scale factor of the dilation is $5$, then what is $OA$?

MeIdHunter Aug 22, 2024

0

6

1

+263

Geometry

The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.

bIueb3rry Aug 22, 2024

0

5

1

+263

Geometry

Find the area of parallelogram ABCD.

bIueb3rry Aug 22, 2024

0

7

1

+263

Geometry

In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $20^\circ.$ Find the area of the rhombus.

bIueb3rry Aug 22, 2024

0

3

1

+544

Geometry

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

cooIcooIcooI17 Aug 22, 2024

0

4

1

+280

C&P

A machine randomly generates one of the nine numbers 1,2,3...8,9 with equal likelihood. What is the probability that when Tsuni uses this machine to generate four numbers their product is divisible by 4. Express your answer read more ..

BRAINBOLT Aug 22, 2024

0

6

1

+1439

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?

kittykat Aug 22, 2024

0

13

1

+2653

Algebra

Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)

LiIIiam0216 Aug 22, 2024

0

7

1

+2653

Coefficient

Find the coefficient of y^4 in the expansion of (2y - 5 + y - 6)^4.

LiIIiam0216 Aug 22, 2024

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