BRAlNBOLT

180 Questions
15 Answers

0

1

2

+224

Geometry

I is the incenter of triangle ABC. Find DE.

BRAlNBOLT Dec 3, 2025

0

1

2

+224

Geometry

Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

BRAlNBOLT Dec 3, 2025

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36

1

+224

Counting

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

BRAlNBOLT Jan 31, 2025

0

37

0

+224

Counting

At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if read more ..

BRAlNBOLT Jan 31, 2025

0

38

0

+224

Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if read more ..

BRAlNBOLT Jan 31, 2025

-1

48

0

+224

Counting

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. read more ..

BRAlNBOLT Dec 8, 2024

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47

0

+224

Counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $300,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

BRAlNBOLT Dec 8, 2024

-1

45

0

+224

Counting

Joanna has six beads that she wants to assemble into a bracelet. Four of the beads have the same color, and the other two all have different colors. In how many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical read more ..

BRAlNBOLT Dec 8, 2024

-1

56

0

+224

Geometry

In triangle ABO, M is the midpoint of \overline{AB}. Points C, D, and N lie on line segments $\overline{AO},$ $\overline{BO},$ and $\overline{MO}$ extended, respectively, so that $DO = BO,$ $NO = MO,$ and $CO = AO.$ If $K$ is the area of triangle read more ..

BRAlNBOLT Oct 30, 2024

-1

58

0

+224

Geometry

In the diagram below, ABCD is a square, DE = EF = FG = 2, GH = 1, HB = 5, and \angle DEF = \angle EFG = \angle FGH = \angle GHB = 60^\circ. Find the area of the shaded region.

BRAlNBOLT Oct 30, 2024