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178

Hi I have been on this question forever!! I need help!!

partial credit,7.3.PS-15
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Guest Mar 7, 2023

157

Polygons

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Mar 7, 2023

173

Algebra

Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.

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Guest Mar 7, 2023

Mar 6, 2023

190

Help needed hard algebra question

The question

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Guest Mar 6, 2023

146

Geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Mar 6, 2023

168

precalc

In triangle PQT, R is on side PT such that QR = QP. Also, QS is an altitude, and QT = 10. The values of tan CBE, tan CBE, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression. read more ..

Guest Mar 6, 2023

166

Probability

How this work

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilatera is shown below. distinct points are chosen on a circle. We draw all read more ..

Guest Mar 6, 2023

134

Sequences

I need help with sequences

Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?
<read more ..

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Guest Mar 6, 2023

163

Graphing

The graph of y = f(x) is shown below.

For each point (a,b) that is on the graph of y = f(x), the point ((a - 7)/2, (3b + 1)/4) is plotted, forming the graph of another function y = g(x). As an example, the point read more ..

Guest Mar 6, 2023

198

Counting

Help needed plz!

In how many ways can 4 balls be placed in 6 boxes if the balls and boxes are both indistinguishable?

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Guest Mar 6, 2023

197

This is extremely hard and I need help

These are the questions read more ..

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Guest Mar 6, 2023

176

Counting

I need help here plz

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered read more ..

Guest Mar 6, 2023

161

Probability

I need the answer to this

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Mar 6, 2023

191

help needed

An equilateral triangle is constructed on each side of a square with side length as shown below. The four outer vertices are then joined to form a large square. Find the side length of the large square.

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Guest Mar 6, 2023

198

help needed

An equilateral triangle is constructed on each side of a square with side length $2,$ as shown below. The four outer vertices are then joined to form a large square. Find the side length of the large square.

https://artofproblemsolving.com/texer/edxnhgjk read more ..

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Guest Mar 6, 2023

196

Algebra 2

How many arrangements of the numbers 1, 2, 3, 4, ... 7 are there where any sum of any two adjacent numbers is odd?

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Guest Mar 6, 2023

183

Geometry

Help me, this is due soon

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

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Guest Mar 6, 2023

125

+660

Pls help with Percents!

A 100 ounce jug of very sour lemonade initially consists of 60% water and 40% lemon juice. 60% of the lemonade is poured out, and then 8 ounces of lemon juice is added to the jug. What percentage of the mixture is now lemon juice?

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Keihaku Mar 6, 2023

186

System

For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7
kx + z = 3 read more ..

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Guest Mar 6, 2023

167

Counting

This is due really soon, I need it

At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements read more ..

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Guest Mar 6, 2023

166

pls help me

In a rhombus, all the side lengths are $10,$ and one of the angles is equal to $120^\circ.$ Find the area of the rhombus.

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Guest Mar 6, 2023

179

Counting

Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 2
The sum of the digits is 3

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Guest Mar 6, 2023

183

You deposit 3000$ into a savings account that yields 3.5% annual interest

How much will you have in your account after 10 years if the interest is compounded weekly?

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Guest Mar 6, 2023

155

Counting

Determine the number of ways of choosing three points from the grid below, so that they form an isosceles right triangle.

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Guest Mar 6, 2023

175

Expected value

In a series of coin flips, a run is a series of consecutive coin flips that are all the same. For example, in the sequence
the red letters form a run.
If a fair coin is flipped two times, what is the expected length of the longest run? read more ..

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Guest Mar 6, 2023

All Questions ⁺⁰237689 Questions

Hi I have been on this question forever!! I need help!!

Polygons

Algebra

Help needed hard algebra question

Geometry

precalc

Probability

Sequences

Graphing

Counting

This is extremely hard and I need help

Counting

Probability

help needed

help needed

Algebra 2

Geometry

Pls help with Percents!

System

Counting

pls help me

Counting

You deposit 3000$ into a savings account that yields 3.5% annual interest

Counting

Expected value

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