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Post New Question
All Questions
+0
230867 Questions
0
1
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+117
Geometry
The sides of a triangle are $2,$ $2,$ and $\sqrt{6} - \sqrt{3}.$ Enter the angles of the triangle in degrees, separated by commas.
Stanry
49
mins ago
0
1
0
+117
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 ..
Stanry
1 hour ago
May 3, 2024
+1
1
0
+5
On a certain hot summer's day,
On a certain hot summer's day,
483483
people used the public swimming pool. The daily prices are
$ 1.50$1.50
read more ..
xixialvarez
1 hour ago
0
1
0
+117
Geometry
In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.
Stanry
5 hours ago
0
1
2
+117
Geometry
In triangle $ABC,$ $AB = 3,$ $AC = 5,$ $BC = 7,$ and $D$ lies on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Find $\cos \angle BAD.$
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Stanry
6 hours ago
0
1
1
+117
Algebra
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 ..
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Stanry
8 hours ago
0
1
1
+117
Geometry
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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Stanry
8 hours ago
0
1
0
+117
Geometry
Find all points (x,y) that are 5 units away from the point (2,7) and that lie on the line x + y = 13.
Stanry
10 hours ago
0
1
1
+117
Algebra
Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.
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Stanry
10 hours ago
+1
1
1
+49
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
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Rangcr897
May 3, 2024, 2:39:50 AM
0
1
0
+49
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 $CE =3$ and $DF = 3$, then what is $BD$?
Rangcr897
May 3, 2024, 2:37:36 AM
0
1
0
+49
Geometry
In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?
Rangcr897
May 3, 2024, 2:37:16 AM
0
1
1
+49
Geometry
In square ABCD, P is on BC such that BP = 4 and PC = 1, and Q is on line CD such that DQ = 2 and QC = 3. Find sin angle PAQ.
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Rangcr897
May 3, 2024
0
1
0
+49
Geometry
In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area of triangle PQR
Rangcr897
May 3, 2024
0
1
0
+49
Geometry
In triangle $ABC,$ $AC = BC$ and $\angle ACB = 90^\circ.$ Points $P$ and $Q$ are on $\overline{AB}$ such that $P$ is between $A$ and $Q$ and $\angle QCP = 45^\circ.$ If cos ACP = 2/3, then find cos BCQ.
Rangcr897
May 3, 2024
0
1
1
+49
Geometry
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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Rangcr897
May 3, 2024
May 2, 2024
0
1
0
+49
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 $IJKLMN$.
Rangcr897
May 2, 2024
0
1
0
+49
I need help
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.
Rangcr897
May 2, 2024
0
1
1
+46
I need some homework help :(
A regular hexagon has a perimeter of p (in length units) and an area of A (in square units). If A=3/2p then find the side length of the hexagon.
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Ranger897
May 2, 2024
0
1
2
+250
Counting
A baking club wants to form an executive committee. There are $18$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people?
A baking club wants to form
read more ..
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Pythagorearn
May 2, 2024
+1
1
0
+61
Trigonometry Problem
I've been working on this question for a while, but I can't come up with a defininitive solution. Can you guys help with it a bit? Thanks!
So let's such that
Find all such values
read more ..
NotThatSmart
May 2, 2024
-1
1
1
+250
Algebra
The graph of the exponential function f(x) is shown below. Find f(x).
f(0) = 1 and f(1) = 2.
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Pythagorearn
May 2, 2024
0
1
1
+250
Algebra
Find the domain and range of the function f(x) = 2(2 - 3x).
NotThatSmart
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Pythagorearn
May 2, 2024
0
2
1
+250
Algebra
Let x be a real number such that 625x = 9. Then 125x = ____
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Pythagorearn
May 2, 2024
0
1
1
+250
Algebra
Let a1, a2, a3, ... be an arithmetic series. Let Sn denote the sum of the first n terms. If S1 = 5 and S2 = 15, then find S15.
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Pythagorearn
May 2, 2024
0
1
2
+250
Algebra
Laverne starts counting out loud by 5's. She starts with 1. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 40, Shirley runs screaming from the room. What number does Laverne say that sends Shirley screaming
read more ..
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Pythagorearn
May 2, 2024
0
1
1
+250
Algebra
Let a1, a2, a3, ..., a9, a10 be an arithmetic sequence. If a1 + a2 = 4 and a2 + a3 = 5, then find a1.
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Pythagorearn
May 2, 2024
0
1
1
+117
Geometry
Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1
●
Stanry
May 2, 2024
-1
1
1
+117
Geometry
In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below. If $\angle EFH = 30^\circ$ and $\angle MHX = 60^\circ,$ then find $\angle XHG,$ in degrees.
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Stanry
May 2, 2024
-1
1
0
+117
Geometry
Chords $\overline{AB}$ and $\overline{CD}$ of a circle meet at $P$. If $AP = 3 \cdot PB$, then what is $AB$?
Stanry
May 2, 2024
-1
1
0
+117
Geometry
Let $X$, $Y$, and $Z$ be points on a circle. Let line $XY$ and the tangent to the circle at $Z$ intersect at $W$. If $\overline{WY} \perp \overline{WZ}$, then find $YZ$.
Stanry
May 2, 2024
-1
1
0
+117
Geometry
Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $CD = 34$, then find the minimum length of $CQ$.
Stanry
May 2, 2024
-1
1
0
+117
Geometry
Let $\overline{TU}$ and $\overline{VW}$ be chords of a circle, which intersect at $S$, as shown. Find $SW$.
Stanry
May 2, 2024
-1
1
0
+117
Geometry
A circle is centered at $O.$ The tangent to the circle at $P$ is extended to $Q.$ Line segment $\overline{QS}$ intersects the circle at $R.$ Find the area of the circle.
Stanry
May 2, 2024
-1
1
0
+117
Geometry
Triangle $ABC$ below is rotated completely around side $\overline{BC}$, sweeping out a solid in space. Find the volume of the solid.
Stanry
May 2, 2024
0
1
0
+117
Geometry
The cone below has a lateral surface area of $16 \sqrt{5} \cdot \pi$. Find the volume of the cone.
Stanry
May 2, 2024
0
1
0
+117
Geometry
Let $A$ be the lateral surface area of the cone below, and let $B$ be the lateral surface area of the cylinder below. Find $\frac{A}{B}.$
Stanry
May 2, 2024
0
1
1
+117
Geometry
The circular sector below is rolled to form a cone. Find the volume of the cone.
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Stanry
May 2, 2024
0
1
0
+117
Geometry
Let $\overline{AB}$ be a diameter of a circle, and let $C$ be a point on the circle. The angle bisector of $\angle ACB$ intersects the circle at point $M.$ Find $CM.$
read more ..
Stanry
May 2, 2024
0
1
0
+117
Geometry
In triangle $ABC,$ points $P$ and $Q$ are on side $\overline{AB},$ and point $R$ is on side $\overline{AC}.$ If $\frac{AP}{2} = \frac{PQ}{5} = \frac{QB}{11}$ and $\frac{AR}{8} = \frac{RC}{13},$ then find $\frac{[QBC]}{[CRQ]}.$
Stanry
May 2, 2024
May 1, 2024
0
1
1
+117
Geometry
In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $4,$ and $AB = 10$, then find the area of triangle $ABC
read more ..
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Stanry
May 1, 2024
0
1
1
+117
Geometry
Altitudes AD and BE of acute triangle ABC intersect at point H. If angle ABH = 30 and angle DAC = 45, then what is angle HCA in degrees?
NotThatSmart
●
Stanry
May 1, 2024
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