All Questions

Jan 24, 2021

323

confused

It is given that the area of square ABCD is $6 + 3 \sqrt{3}$. Find the area of square MNPQ.

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Guest Jan 24, 2021

512

+256

Counting

Prove that in any set of 150 integers, you can find 13 of them so that the difference of any
two is a multiple of 12.

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BWStar Jan 24, 2021

436

prime factorization

Davey Q. decides to factor the number 758 into primes. After doing so, he makes a list from this factorization, including each prime in the list as many times as it appears in the factorization. What is the mode of his list?

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Guest Jan 24, 2021

809

+70

I actually have 3 questions if that is ok XD

A new planet in orbit about the Sun has a semi-major axis of 1.68 AU and an eccentricity of 0.0938. What is the perihelion distance of the new planet in AU?
If we discover a new planet in our solar system with a period of 14900.0 years, how far read more ..

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Skatergoat Jan 24, 2021

522

algebra q

If a + b = 8, b + c = 3, and a + c = 5, what is the value of the product abc?

BWStar ●

Guest Jan 24, 2021

472

HELP

At the AoPS office, mice vary inversely with cats, that is, $\text{mice}=\frac{k}{\text{cats}}$, for some value of $k$. When there are $3r-19$ cats, there are $2r+1$ mice, and when there are $6r-24$ mice, there are $r-3$ cats. Find $k$.

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Guest Jan 24, 2021

371

can u help

$AB$ is parallel to $CD$ and $AB =2CD$.
If $m\angle ABC = 45^o $ and $m\angle CBD = 15^o,$ find $m\angle BAD$ in degrees.

read more ..

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Guest Jan 24, 2021

479

In triangle $ABC$, $\angle A = 30^\circ$ and $\angle B = 60^\circ$. Point $X$ is on side $\overline{AC}$ such that line segment $\overline{B

My question is the title

Guest Jan 24, 2021

444

need to find angles

All the blue lines in the diagram are parallel to the base of the triangle. Find the sum of the measures of the colored angles.

read more ..

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Guest Jan 24, 2021

505

what adds up to -9 and mutiplies to 18.

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Guest Jan 24, 2021

546

volume of cone

A sector with radius 10 and central angle $45^\circ$ is to be made into a right circular cone. Find the volume of the cone.

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Guest Jan 24, 2021

455

help plz

Define #N by the formula #(N) = 5N + 1. Calculate #(#(#(50))).

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Guest Jan 24, 2021

520

factoring

Find the product of all constants t such that the quadratic x^2 + tx - 15 can be factored in the form (x + a)(x + b), where a and b are integers.

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Guest Jan 24, 2021

397

HELP

list of 7 intigers whose average is 6, whose range is 7, whose median is 8, and whose only mode is 9

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Guest Jan 24, 2021

457

Help please

Let $r$ and $s$ be the roots of $x^2 - 6x + 2 = 0.$ Find $(r - s)^2.$

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Guest Jan 24, 2021

387

geometric proof

In square $ABDE$, $\triangle CDE$ is isosceles with $\angle CED = \angle CDE = 15^\circ$. Find the measure of $\angle ACB$ in degrees.

I think the answer is 60, but how do I prove it?
read more ..

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Guest Jan 24, 2021

572

+96

HELPPPP

If

then for how many values of x is f(f(x)) = 5?

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kanisan Jan 24, 2021

343

quadratic roots

The roots of x^2 + x - 3 = 0 are p and q. Calculate 4p^2 - q^3.

Guest Jan 24, 2021

481

Help

The quadratic equation $2x^2 + bx + 18 = 0$ has a double root. Find all possible values of $b.$

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Guest Jan 24, 2021

469

angles

What is the sum of the red angles inside the polygon in degrees?

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Guest Jan 24, 2021

493

+68

help asap tysm

Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?
read more ..

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piano123 Jan 24, 2021

593

operation

If a*b = 2a + b, for all a and b, then what is the value of 4*3?

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Guest Jan 24, 2021

605

proportion and similarity

Segments $\overline{CD}$ and $\overline{AB}$ are parallel. If $CD=2,AB=5,$ and $[CDP]=4,$ find $[ABCD].$

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Guest Jan 24, 2021

652

+308

help?

If CE:EA:AD:DB=2:3:4:5, then what is [ACD]/[ABE]?

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notsmart2.0 Jan 24, 2021

All Questions ⁺⁰237643 Questions

confused

Counting

prime factorization

I actually have 3 questions if that is ok XD

algebra q

HELP

can u help

In triangle $ABC$, $\angle A = 30^\circ$ and $\angle B = 60^\circ$. Point $X$ is on side $\overline{AC}$ such that line segment $\overline{B

need to find angles

what adds up to -9 and mutiplies to 18.

volume of cone

help plz

factoring

HELP

Help please

geometric proof

HELPPPP

quadratic roots

Help

angles

help asap tysm

operation

proportion and similarity

help?

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