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All Questions
^{+0}
235059 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.)
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omgitsrne
Jan 23, 2024
0
41
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
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omgitsrne
Jan 23, 2024
0
34
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
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dj070701
Jan 23, 2024
0
20
1
+1389
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.
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kittykat
Jan 23, 2024
0
6
0
+1389
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
31
1
+1389
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 $AMN$.
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kittykat
Jan 23, 2024
0
3
1
+1389
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.
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kittykat
Jan 23, 2024
0
32
0
+1389
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
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kittykat
Jan 23, 2024
+1
22
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
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ALSndn
Jan 23, 2024
0
39
0
+50
Proving equality with right triangles
How can I prove that with right triangles?
helloworldhello
Jan 23, 2024
0
8
0
+1489
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
34
0
+1489
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
44
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
+1489
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
41
1
+1489
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 $IJKLMN$.
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parmen
Jan 22, 2024
0
4
1
+1489
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.
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parmen
Jan 22, 2024
0
34
0
+1489
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
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parmen
Jan 22, 2024
0
38
1
+1489
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.
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parmen
Jan 22, 2024
0
8
0
+1763
Expand
Expand (x^2 + 1/x)*(x + x^4)^3.
bader
Jan 22, 2024
0
5
0
+1763
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
+1763
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.
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bader
Jan 22, 2024
0
9
1
+1763
Constant term
Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.
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bader
Jan 22, 2024
0
4
1
+1911
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
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tomtom
Jan 22, 2024
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