All Questions ⁺⁰234646 Questions

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+116

Geometry

The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides. How many sides does this polygon have?

MEMEG0D Sep 2, 2024

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+1055

Geometry

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.
An equilateral triangle, a regular dodecagon, and a regular -gon, all with the same side length, also completely read more ..

learnmgcat Sep 2, 2024

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+1055

Geometry

A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = 3,$ then find the side length of the hexagon.

learnmgcat Sep 2, 2024

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+820

Number Theory

Find the six-digit number abcdef such that
0.\overline{abcdef} = \frac{2}{17},
without a calculator.

Hi6942O Sep 2, 2024

Sep 1, 2024

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+1323

Geometry

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

blackpanther Sep 1, 2024

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+1323

Geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle PBA$, and $\angle ABC - \angle ACB = 24^\circ$. Find $\angle PBC$ in degrees.

blackpanther Sep 1, 2024

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+484

Counting

In how many ways can you distribute $8$ indistinguishable balls among $5$ distinguishable boxes, if at least three of the boxes must be empty?

gnistory Sep 1, 2024

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+484

Counting

Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets at least $6$ chocolates?

gnistory Sep 1, 2024

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+73

Hard Algebra Question, Please Help!

How many integers n with can be written as for at least one ordered pair of positive integers (a,b)?
Thanks a lot!

NotLatePY Sep 1, 2024

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+1341

Geometry

Point D is the midpoint of median AM of triangle ABC. Point E is the midpoint of AB, and point T is the intersection of BD and ME. Find the area of triangle BEC if [ABC] = 14.

kittykat Sep 1, 2024

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+1341

Geometry

In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.

kittykat Sep 1, 2024

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+1341

Geometry

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

kittykat Sep 1, 2024

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+38

Umm, how do I do this...

So how do I ask an off topic question, also here is a problem for anyone who comes to this unfortunate post.
DEBUG THIS
x=y
x^2=xy read more ..

AUnVerifiedTaxPayer Sep 1, 2024

Aug 31, 2024

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+484

Counting

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students who are in the math club or read more ..

gnistory Aug 31, 2024

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+617

Number Theory

When fractions are expressed in different bases, they can be terminating or repeating. For example, when $\frac{1}{5}$ is expressed in base $3,$ the result is
\[0.\overline{0121}_3 = 0.01210121 \dots,\]
which is repeating.
When read more ..

AnswerscorrectIy Aug 31, 2024

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+73

Jones Tax System

Dr. Jones lives in a country with a progressive tax system. That is, he does not pay any taxes on the first $20,000 in income he makes, he pays 5% taxes on the next $25,000, he pays 10% taxes on the next $35,000, he pays 15% on the next $50,000, and read more ..

NotLatePY Aug 31, 2024

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+251

Number Theory

Find the $4000$th digit following the decimal point in the expansion of $\frac{1}{17}$

fjeihqoO Aug 31, 2024

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+165

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

BRAlNBOLT Aug 31, 2024

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+35

number theory help

The primes 3, 5, and 17 have the property such that their quadratic nonresidues are also primitive roots. Find the next two primes with this same property.

dplostthegame Aug 31, 2024

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+92

Algebra

Let $f$ be a cubic polynomial such that $f(0) = 0$, $f(1) = 0$, $f(2) = 0$, and $f(3)=0$. What is the sum of the coefficients of $f$?

jaekg Aug 31, 2024

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