All Questions ⁺⁰237878 Questions

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Two tangent circles are shown below. One common external tangent is the x-axis. The equation of the other external common tangent has the form y = mx + b. What is m?

gnistory Apr 20, 2026

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+986

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Let theta be an acute angle such that sin 2 theta = sin 3 theta + sin 4 theta. What is the measure of theta in degrees?

gnistory Apr 20, 2026

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+1297

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Let alpha be an angle in the third quadrant such that tan alpha = 4. Find cot alpha.

AnswerscorrectIy Apr 20, 2026

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+1297

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Triangle PQR is equilateral. Find AQ.
PQR has side length 4, and A is on side PR so that AP = 1.

AnswerscorrectIy Apr 20, 2026

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+64

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In triangle ABC, \sin A = \frac{4}{5} and \tan C = 1. Find \cos B.

NotThatSmartTwo Apr 20, 2026

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ABCDEFGH is a regular octagon. Find the ratio of the area of the red triangle to the area of the blue square.

NotThatSmartTwo Apr 20, 2026

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Geometry

A spherical orange is cut into 8 congruent slices. If the volume of the orange was 8, then what is the volume of each slice?

Hi6942O Apr 20, 2026

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Geometry

In unit square ABCD, E and F are the midpoints of \overline{AD} and \overline{AB}, respectively. The square is then folded along the edges of triangle CEF, so that triangles AEF, CDE, BCF, cover triangle CEF. read more ..

Hi6942O Apr 20, 2026

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+870

Geometry

Triangular pyramid BCDG is cut from cube ABCDEFGH. The triangular pyramid is then placed on a surface with triangle BCD as the base. Given that the side length of the cube is $12,$ find the height of the pyramid.

cooIcooIcooI17 Apr 20, 2026

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+870

Geometry

In the diagram, a semicircle is centered at $O,$ and $\overline{AB}$ is tangent to the semicircle at $B.$ Find $\angle BCD,$ in degrees.

cooIcooIcooI17 Apr 20, 2026

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3 kinds of candies: fruit, milk and chocolate were placed into 3 boxes. The number of fruit candies is more than the number of chocolate candies and the number of milk candies is half of fruit candies. There are 390 candies in total. Given that the read more ..

Jyrgerhry Apr 20, 2026

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Math

Étienne and Hans were collecting vintage stamps. Étienne gave 1/4 of his stamps to Hans. Hans then gave 1/3 of his total stamps to Étienne. After these exchanges, Étienne had 4 times as many stamps as Hans. If the number of stamps Étienne gave read more ..

Jyrgerhry Apr 20, 2026

Apr 18, 2026

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+310

Algebra

Fill in the blanks to make an equation that is linear in disguise, and has a solution.
sqrt(2x - 3) + __x + ___ = ___x - ___ + ____
8 9 10 11 12 13 14 15 16 17 18 19 20

AUnVerifedTaxPayer Apr 18, 2026

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+310

Algebra

Fill in the blank to make an equation that is linear in disguise, and has a solution.
sqrt(2x - 3) + __x + ___ = ___x - ___ + ____
8 9 10 11 12 13 14 15 16 17 18 19 20

AUnVerifedTaxPayer Apr 18, 2026

Apr 17, 2026

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+310

Algebra

Fill in the blanks to make the equation true.
___ + ___ = ___
x^4 - 2x^3 + 3x
x^4 + 3x + 1 read more ..

AUnVerifedTaxPayer Apr 17, 2026

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+310

Geometry

The large square below is made-up of seven identical rectangles and three identical squares. The height of each of the seven rectangles is h. What is the area of each of the seven rectangles? (Give your answer in terms of h.)

AUnVerifedTaxPayer Apr 17, 2026

Apr 16, 2026

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+1024

Algebra

Fill in the blanks to make the equation true.
(___)^{-1/3} = (___)^{-1/2}
-72 -45 -9 -4 -18 -27 -64 -16 -25

Hi6942O Apr 16, 2026

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