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All Questions
^{+0}
231545 Questions
+1
12
1
+1679
counting question
In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters
read more ..
moneydude242
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wiseowl
Jan 19, 2024
0
15
0
+1679
help counting
In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, so that at least one square is yellow, and at least one square
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wiseowl
Jan 19, 2024
0
26
0
+403
Solids
Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting
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magenta
Jan 19, 2024
0
12
1
+403
Geometry question
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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magenta
Jan 19, 2024
-1
7
1
+1791
Need help
Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.
ElectricPavlov
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tomtom
Jan 19, 2024
-1
7
1
+1791
Help with coordinates
Find all points (x,y) that are 5 units away from the point (2,7) and that lie on the line x + y = 13.
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tomtom
Jan 19, 2024
0
14
1
+1791
Coordinates
Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.
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tomtom
Jan 19, 2024
-1
21
1
+1791
Coordinates
What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates
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tomtom
Jan 19, 2024
0
17
1
+1616
Triangle
In triangle $ABC,$ $AB = 3,$ $AC = 5,$ $BC = 7,$ and $D$ lies on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Find $\cos \angle BAD.$
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bader
Jan 19, 2024
0
7
1
+1616
Trig
In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.
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bader
Jan 19, 2024
0
12
1
+1616
Triangles
In the diagram below, we have $AB = 24$ and $\angle ADB =90^\circ$. If $\sin A = \frac13$ and $\sin C = \frac12$, then what is $BC$?
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bader
Jan 19, 2024
0
12
1
+1616
Triangle
The sides of a triangle are $2,$ $2,$ and $\sqrt{6} - \sqrt{3}.$ Enter the angles of the triangle in degrees, separated by commas.
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bader
Jan 19, 2024
0
16
1
+0
PLZ HELP I NEED IT NOW
Grogg draws an equiangular polygon with g sides, and Winnie draws an equiangular polygon with w sides. If the interior angle of Winnie's polygon is equal to two times the exterior angle of Grogg's polygon, find the largest possible value of w.
If
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ajdpaifdeffe
Jan 19, 2024
0
14
0
+1071
help geometry
Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.
kittykat
Jan 19, 2024
0
15
0
+1211
need help
Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends. (Not everyone has to get a sticker.)
parmen
Jan 19, 2024
0
15
0
+1211
counting
Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.
parmen
Jan 19, 2024
0
21
0
+1211
Help probability
Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly $7$ chocolates?
parmen
Jan 19, 2024
Jan 18, 2024
0
19
1
+1211
Counting problem
How many solutions are there to the equation
u + v + w + x + y + z = 2,
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $1?$
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parmen
Jan 18, 2024
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