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Post New Question
All Questions
+0
236046 Questions
0
18
0
+976
Geometry
Two circles are externally tangent at T. The line AB is a common external tangent to the two circles, and P is the foot of the altitude from T to line AB. Find the length AB.
read more ..
Hi6942O
May 26, 2024
0
13
0
+976
Algebra
Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.
Hi6942O
May 26, 2024
0
22
0
+976
Algebra
Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}
Hi6942O
May 26, 2024
0
18
1
+976
Algebra
Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?
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Hi6942O
May 26, 2024
0
27
0
+976
Algebra
Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}
Hi6942O
May 26, 2024
0
5
1
+121
Algabra
Find
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Hi69420
May 26, 2024
0
22
1
+121
geometry
How many isosceles triangles with whole-number length sides have a perimeter of 20 units?
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Hi69420
May 26, 2024
0
20
1
+121
Help
Compute
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Hi69420
May 26, 2024
0
10
1
+121
geometry
If the volume of a 2-cm-by-2cm-by-2cm cube is increased by 19 cubic centimeters to form a larger cube, what is the length in centimeters of one edge of the new cube?
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Hi69420
May 26, 2024
0
22
1
+121
Geometry
What is the radius of the circle inscribed in triangle ABC if AB = 15, AC = 41, and BC = 52?
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Hi69420
May 26, 2024
0
14
1
+868
Counting
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 $1?$
●
eramsby1O1O
May 26, 2024
0
17
1
+868
Counting
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?
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eramsby1O1O
May 26, 2024
0
10
1
+868
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.
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eramsby1O1O
May 26, 2024
0
21
1
+868
Counting
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.)
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eramsby1O1O
May 26, 2024
-6
20
0
+219
Geometry
Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.
BRAlNBOLT
May 26, 2024
-6
26
0
+219
Geometry
In the diagram below, we have $AB = 24$ and $\angle ADB =90^\circ$. If $\sin A = \frac13$ and $\sin C = \frac12$, then what is $BC$?
read more ..
BRAlNBOLT
May 26, 2024
May 25, 2024
-6
17
0
+219
Geometry
In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.
BRAlNBOLT
May 25, 2024
0
16
2
+33
Let k be a positive real number. The line and the circle are drawn. Find k so that the line is tangent to the circle.
Let k be a positive real number. The line and the circle are drawn. Find k so that the line is tangent to the circle.
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jumbean
May 25, 2024
0
25
0
+1310
Geometry
In triangle $ABC,$ $AB = 3,$ $AC = 5,$ $BC = 7,$ and $D$ lies on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Find $\cos \angle BAD.$
learnmgcat
May 25, 2024
0
17
0
+1310
Need help
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
read more ..
learnmgcat
May 25, 2024
0
22
0
+1310
Help with math
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 $a + b$.
learnmgcat
May 25, 2024
0
23
0
+1310
Math problem
Find all points (x,y) that are 5 units away from the point (2,7) and that lie on the line x + y = 13.
learnmgcat
May 25, 2024
0
25
0
+1310
Algebra
Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.
learnmgcat
May 25, 2024
0
26
0
+551
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.
Pythagorearn
May 25, 2024
0
22
0
+551
Geometry
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
read more ..
Pythagorearn
May 25, 2024
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