RedDragon1

16 Questions
3 Answers

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Balls and Boxes

In how many ways can 4 balls be placed in 4 boxes if 3 balls are indistinguishably white, 1 ball is black, and the boxes are indistinguishable?

RedDragon1 Oct 19, 2024

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5

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C&P

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row, and no child may sit directly in front of their sibling?

RedDragon1 Oct 19, 2024

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26

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Help with Magnitude

Let z and w be complex numbers such that |z|=1,|w|=7, and |5z-2w|=11. Find |3z+4w|

RedDragon1 Jul 13, 2024

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12

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Help Please

Suppose that all four of the numbers
2-sqrt(5), 4+sqrt(10),14-2sqrt(7), -sqrt(2)
are roots of the same nonzero polynomial with rational coefficients. What is the smallest possible degree of the polynomial?

RedDragon1 Jul 10, 2024

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5

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Triangle DEF is inscribed in circle G. In circle G, angle EDF=29 and arc DF has a measure of 132. If the circumference of circle G is 24

Triangle DEF is inscribed in circle G. In circle G, angle EDF=29 and arc DF has a measure of 132. If the circumference of circle G is 24 units, what is the length of arc DE? Express your answer as a common fraction.

RedDragon1 May 27, 2024

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9

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In triangle ABC, cos A=sqrt(7/10) and cos B=sqrt(3/10) Find cos C

In triangle ABC, cos A=sqrt(7/10) and cos B=sqrt(3/10) Find cos C

RedDragon1 May 9, 2024

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28

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The line x=k bisects the area of triangle ABC. Find the value of k. A on the coodinate grid is (3,2), B is (-5,0), and C is (1,0)

The line x=k bisects the area of triangle ABC. Find the value of k. A on the coodinate grid is (3,2), B is (-5,0), and C is (1,0)

RedDragon1 Apr 30, 2024

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16

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The point (8,2) is on an asyptote of the hyperbola x^2/a^2-y^2/b^2=1. What is |a/b|?

The point (8,2) is on an asyptote of the hyperbola x^2/a^2-y^2/b^2=1. What is |a/b|?
Plz only give hints.

RedDragon1 Apr 28, 2024

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11

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Four points form the vertices of a square. Find the area of the square if the points are (2,b), (0,a), (5,c), and (7,d).

Four points form the vertices of a square. Find the area of the square if the points are (2,b), (0,a), (5,c), and (7,d).

RedDragon1 Apr 26, 2024

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20

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A translation maps A ti A' and B to B'. We know AA'=6, AB=5, and AB'=5 find BA'

A translation maps A ti A' and B to B'. We know AA'=6, AB=5, and AB'=5 find BA'

RedDragon1 Apr 13, 2024

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19

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Question

Equilateral triangle ABC is inscribed in a circle. Let P be a point on arc BC. Given that PB=18 and PC=7 find PA.

RedDragon1 Apr 13, 2024

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19

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Question

A,B,C, and D are distinct points on the plane. A rotation about point O maps A to B, B to C, and C to D. We know angle AOD is 24 Enter all three possible degree measures (between 0 and 180) of angle AOB separated read more ..

RedDragon1 Apr 13, 2024

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25

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Question

In the diagram below, Point A is sqrt(3) units above O. Whenever Tasha moves a point, she translates the point sqrt(2) units to the right. Whenever Richard moves a point, he rotates the point clockwise about point O by 90˚
In read more ..

RedDragon1 Apr 13, 2024

+54

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The answer is sqrt(913)

RedDragon1Jul 14, 2024