All Questions ⁺⁰230625 Questions

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In the SmallState Lottery, three white balls are drawn (at random) from twenty balls numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten balls numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one read more ..

Guest Dec 2, 2019

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I have a collection of sixteen cards. Each card is rose, amber, emerald, or liberty (a shade of blue) . Also, each card is labelled A, B, C, or D. There is a card for each color-letter combination, e.g. there is an amber card that has a B on it.
These read more ..

Guest Dec 2, 2019

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A bag contains five white balls and five black balls. Your goal is to draw two black balls.
You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability read more ..

Guest Dec 2, 2019

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439

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How many 5-digit numbers without repetition of digits can be formed using the digits 0, 2, 4, 6, 8?

Guest Dec 2, 2019

Dec 1, 2019

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Rectangle ABCD (above) is made out of 5 rectangles of equal length and breadth. If the perimeter of ABCD is 44, what is the perimeter of one of these smaller rectangles?

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Guest Dec 1, 2019

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Need Help ASAP

I've been stuck on this for a while, can someone help me out? Let z be a complex number such that |z^2 + 4| = |z(z + 2i)|. Find the smallest possible value of |z + i|.

NewMember Dec 1, 2019

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600

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One of the asymptotes of a hyperbola has equation $y=3x.$ The foci of the hyperbola have the same $x-$coordinate, which is $5.$ Find the equation of the other asymptote of the hyperbola, giving your answer in the form "$y = mx + b$".

Guest Dec 1, 2019

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Let ABC be a triangle with angle B=90 degrees, angle C=30 degrees and AB=5 Find the length of the angle bisector from A to BC (right to 2 decimal places).

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Guest Dec 1, 2019

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A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact at C and the top of the pole touches the ground at point T, a distance of 3 meters from A. Find the length AC, in meters, the point where the pole snapped.
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Guest Dec 1, 2019

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685

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Find the last three digits of 6^{123}.

Guest Dec 1, 2019

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660

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Solve the system x^2 = y + 2, y^2 = x + 2.

Guest Dec 1, 2019

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428

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Evaluate (sqrt(60) + 3*sqrt(7))^2 * (sqrt(60) - 3*sqrt(7))^2.

Guest Dec 1, 2019

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Solve for x if 1 + x + x^2 + x^3 + x^4 + ... = 15.

Guest Dec 1, 2019

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A 3-digit number has a digit of 15, and is divisible by 35. Find the 3-digit number.

Guest Dec 1, 2019

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In what base is this equation true? 11 + 1 = 100

Guest Dec 1, 2019

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The figure above shows three consecutive squares of sides 5, 4 and 3, respectively.

Find the area of the black region.
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Guest Dec 1, 2019

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Find the sum of angles a, b, c, e.

Guest Dec 1, 2019

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Simplify (sqrt(12) - sqrt(27))/6 * sqrt(3) * sqrt(4).

Guest Dec 1, 2019

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389

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Compute tan(75 degrees) + cot(75 degrees).

Guest Dec 1, 2019

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442

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Please help!

In acute triangle ABC, angle A = 68 degrees. Let O be the circumcenter of triangle ABC. Find angle OBC, in degrees.

Guest Dec 1, 2019

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*HELP!!!!***Due Today!

1)In triangle ABC, $AB = BC = 17$ and AC = 16 Find the circumradius of triangle
2)Angle bisectors line AX and line BY of triangle ABC meet at point I. Find angle C in degrees, if angle AIB = 109
[asy]
pair read more ..

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Guest Dec 1, 2019

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Parabola

The focus of the parabola x^2 = 4y is F = (0,1). A line passing through F intersects the parabola at N and M. The line passing through F that is perpendicular to line MN intersects the parabola at a point A in the first read more ..

AoPS.Morrisville Dec 1, 2019

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554

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can this calc do algebra

can u algebra pls : (2a-1)^3

Guest Dec 1, 2019

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In the following image, find x in degrees.

Guest Dec 1, 2019

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626

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In the given figure ABCD is a square with side 12cm. BC is a tangent then radius of the circle is

Guest Dec 1, 2019

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