All Questions ⁺⁰234620 Questions

0

7

1

+400

Rolls

Catherine rolls a standard 6-sided die eight times. If the product of her rolls is 2700, then how many different sequences of rolls could there have been? (The order of the rolls matters.)

omgitsrne Jan 23, 2024

0

35

0

+400

help probability

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 have read more ..

omgitsrne Jan 23, 2024

0

29

2

+8

intermediate alg

Katie has a list of real numbers such that the sum of the numbers on her list is equal to the sum of the squares of the numbers on her list. Compute the largest possible value of the arithmetic mean of her numbers.

BuiIderBoi ●●

dj070701 Jan 23, 2024

0

17

1

+1341

Geometry

In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.

kittykat Jan 23, 2024

0

6

0

+1341

help with triangles

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

kittykat Jan 23, 2024

0

29

1

+1341

Bisectors

In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.

kittykat Jan 23, 2024

0

3

1

+1341

Circle

Points $A$, $B$, and $C$ are on a circle such that $AB = 8$, $BC = 15$, and $AC = 12$. Find the radius of the circle.

kittykat Jan 23, 2024

0

28

0

+1341

Triangle

In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure read more ..

kittykat Jan 23, 2024

+1

19

1

+0

HELP ASAP PLS!!!!!(CPhill)

. Three ropes are attached to a sled and given to three dogs. Bark Wahlberg pulls his rope at N 33 E with a force equivalent to 4 newtons. Billie Howliday pulls her rope at N 84 E with a force equivalent to 5 newtons. Jabba the Mutt pulls his rope at S read more ..

ALSndn Jan 23, 2024

0

35

0

+50

Proving equality with right triangles

How can I prove that with right triangles?

helloworldhello Jan 23, 2024

0

8

0

+1467

Quadrilaterals

In the diagram below, each side of convex quadrilateral $ABCD$ is trisected. (For example, $AP = PQ = QB.$) The area of convex quadrilateral $ABCD$ is $180.$ Find the area of the shaded hexagon.

parmen Jan 23, 2024

0

27

0

+1467

Polygons

Let $B,$ $A,$ and $D$ be three consecutive vertices of a regular $20$-gon. A regular heptagon is constructed on $\overline{AB},$ with a vertex $C$ next to $A.$ Find $\angle BAD,$ in degrees.

parmen Jan 23, 2024

Jan 22, 2024

0

39

0

+39

helpp

the perimeter of a right triangle with side lengths that are integers, and having the same area as a rectangle with dimensions 36cm by 45 cm is, in cm

hi1234 Jan 22, 2024

0

8

0

+1467

Quadrilateral

In the diagram, $ABCD$ is a square. Find $PR.$

M, N, O, L are midpoints of sides.
AB = 12

parmen Jan 22, 2024

0

37

1

+1467

Polygons

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 $IJKLMN$.

parmen Jan 22, 2024

0

4

1

+1467

Polygon

The interior angles of a polygon form an arithmetic sequence. The difference between the largest angle and smallest angle is $56^\circ$. If the polygon has $3$ sides, then find the smallest angle, in degrees.

parmen Jan 22, 2024

0

29

0

+1467

Polygons

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.
An equilateral triangle, a regular dodecagon, a square, and a regular n-gon, all with the same side length, also read more ..

parmen Jan 22, 2024

0

33

1

+1467

help geometry

In square ABCD, P is on BC such that BP = 5 and PC = 2, and Q is on CD such that DQ = 4 and QC = 3. Find sin angle PAQ.

parmen Jan 22, 2024

0

8

0

+1756

Expand

Expand (x^2 + 1/x)*(x + x^4)^3.

bader Jan 22, 2024

0

5

0

+1756

Coefficient

Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.

bader Jan 22, 2024

0

8

1

+1756

Real numbers

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

bader Jan 22, 2024

0

9

1

+1756

Constant term

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

bader Jan 22, 2024

0

4

1

+1877

Percent

In a store window, there was a box of berries having a total weight of $200$ kg. The berries were $95\%$ 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 read more ..

tomtom Jan 22, 2024

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