All Questions ⁺⁰237749 Questions

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+858

Math

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

cooIcooIcooI17 Oct 16, 2025

Oct 15, 2025

0

2

1

+12

Math

Area of compound figure

BlackoutMilkshake Oct 15, 2025

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1

+12

Math

area of compound figure

BlackoutMilkshake Oct 15, 2025

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1

+12

Math

I need help. What's the answer?

BlackoutMilkshake Oct 15, 2025

Oct 14, 2025

Oct 11, 2025

0

2

1

+4

Math

We define a formula that calculates both and . What formula would you create (or use)?

CharlieMathematical Oct 11, 2025

Oct 7, 2025

0

2

1

+1808

Math

For a positive integer n, let
a_n = 1 + \sqrt{\frac{1}{n}} - \sqrt{\frac{1}{n + 1}
Compute the product a_1 a_2 a_3 \dotsm a_{99}.

blackpanther Oct 7, 2025

0

2

1

+1808

Math

Find the number of ways of arranging the numbers 1,2 ,3, 4, 5, 6 in a row so that the product of any two adjacent numbers is at least 5.

blackpanther Oct 7, 2025

+1

2

2

+295

Math

A fair coin is tossed repeatedly until either heads comes up three times in a row or tails comes up four times in a row. What is the probability that the coin will be tossed more than 10 times? Express your answer as a common fraction.

CInsbstnkng Oct 7, 2025

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4

+295

Math

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

CInsbstnkng Oct 7, 2025

Oct 6, 2025

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+5

AMC 10 I want to make AIME - PLEASE HELP

Some context:
Currently, I am in 9th grade and taking Calculus BC.
I can understand competition math problems and what they are asking for but I don't really have a sense for solving them.
I should have started preparing earlier and read more ..

OOOOOOOO Oct 6, 2025

Oct 1, 2025

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+4

Stuck on a Tricky Series Problem

I’ve been working on this series and I’m not sure if I’m approaching it the right way:
At first glance it looks like it might behave similar to the alternating harmonic series, but the sine term is throwing me off. I’m wondering whether this read more ..

skylerclooney Oct 1, 2025

Sep 29, 2025

Sep 28, 2025

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28

2

+4

plz help im cooked

Let M⊂R∞×∞\mathcal{M} \subset \mathbb{R}^{\infty \times \infty}M⊂R∞×∞ be the set of all improperly convergent matrices whose entries are defined by the double integral:
Mij=∫0∞∫0∞sin⁡(ix)cos⁡(jy)x2+y2+ij dx dyM_{ij} = \int_0^{\infty} \int_0^{\infty} read more ..

fof.urmum Sep 28, 2025

Aug 25, 2025

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7

25

3

+1301

Math

Alex chooses a number at random from the set {1, 2, 3, 4, 5}. Winnie also chooses a number at random from the same set. (They can choose the same number.) What is the probability that the product of their numbers is at least 4? read more ..

Bosco ●●●

AnswerscorrectIy Aug 25, 2025

0

8

29

1

+1301

Math

Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$). If the graphs of $y=f(x)$ and $y=f(x^3)$ are drawn, at how many points do they intersect?

AnswerscorrectIy Aug 25, 2025

Aug 24, 2025

Aug 23, 2025

0

7

26

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+987

Math

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle CAD = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

booboo44 Aug 23, 2025

0

6

26

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+987

Math

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $BC = 15,$ and $CX = 5$. What is $BX$?

booboo44 Aug 23, 2025

0

9

27

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+1301

Math

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BC$.

AnswerscorrectIy Aug 23, 2025

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