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583

+421

Ant on a Cube...

An ant is on the face of a cube with edges measuring five centimeters. The ant starts one centimeter from an edge and two centimeters from another, and wishes to travel to a point on an edge one centimeter from the farthest vertex. What is the shortest read more ..

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Pangolin14 Dec 31, 2020

576

geometric math

P and Q are two points on line x - y + 1=0 and are at distance 5 units from the origin. Find the area of the triangle OPQ

read more ..

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Guest Dec 31, 2020

380

help pls

Let a, b, c be the roots of x^3 - x - 1 = 0. Compute
(1 + a)^2/(1 - a) + (1 + b)^2/(1 - b) + (1 + c)^2/(1 - c).

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Guest Dec 31, 2020

427

tricky triangle

In triangle ABC, AB = 17, AC = 25, BC = 28, and I is the incenter. What is BI?

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Guest Dec 31, 2020

1807

+36

1-100 QUESTION WITH DIGITS 2, 0, 2, 1 CPHILL (or anyone)

Hey, CPhill (or whoever reading this), remember that 1-100 with only 2,0,2,1 question I posted? Well, I have gotten some progress on it...
1 = 2 + 0 - 2 + 1
2 = (2 + 0) / 2 + 1
3 = 2^2 - 1 - 0 read more ..

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Karinger Dec 31, 2020

328

help algebra

The sum of two numbers is 16 and their product is 36. Find the reciprocal of the sum of the two numbers.

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Guest Dec 31, 2020

415

+36

1-100 QUESTION I POSTED EARLIER

Hey CPhill, remember the question that I posted earlier, finding 1-100 with 2,0,2,1? Well, I've gotten some progress with that..
1 = 2 + 0 - 2 + 1
2 = (2 + 0) / 2 + 1
3 = 2^2 - 1 - 0 read more ..

Karinger Dec 31, 2020

430

isosceles trapezoid

A isosceles trapezoid has bases $AB=15$ and $CD=20$. Points $E$ and $F$ are on $AD$ and $BC$ respectively such that $EF\parallel AB$. If $AE:ED=2:3$, compute $EF$.

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Guest Dec 31, 2020

456

I thought I was smart till I saw this

Let x = What is
read more ..

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Guest Dec 31, 2020

567

Trigonometric Identities

Find the measure, in degrees, of the smallest positive angle $\theta$ for which $\sin 3 \theta = \cos 7 \theta.$

My go at it:
Using the theorem for sin and cosine relationship, read more ..

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Guest Dec 31, 2020

309

geometry question

Circle O with radius 2 is inscribed in a trapezoid ABCD such that AD is parallel to BC and CD = 8. If angle A and angle B are right angles, then what is the area of ABCD?

read more ..

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Guest Dec 31, 2020

482

closed form

Find a closed form for the sum S = 1*1! + 2*2! + 3*3! + ... + n*n!.

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Guest Dec 31, 2020

422

number theory question

In the prime factorization of 109!, what is the exponent of 7? (Reminder: The number n! is the product of the integers from 1 to n. For example, 5! = 5 * 4 * 3 * 2* 1 = 120.)

catmg ●●●

Guest Dec 31, 2020

Dec 30, 2020

403

Need help.

Brandon and Pat drove from Edmonton to Saskatoon, a distance of 545km. Brandon drove the first part of the trip at an average speed of 100 km/h and Pat drove the remainder at an average speed of 90 km/h. If the trip took Brandon and Pat 5.75 h, determine read more ..

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Guest Dec 30, 2020

380

permutations

Let S be the set of permutations of (1,2,3,4,5,6) whose first term is not 1. If we choose a permutation at random from S, what is the probability that the third term is equal to 3, and the fourth term is equal to 4?

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Guest Dec 30, 2020

387

3d geo

What is the dihedral angle between two adjacent faces of an octahedron?

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Guest Dec 30, 2020

389

help plz

Three schools have a chess tournament. Four players come from each school. Each player plays three games against each player from the other schools. How many games of chess are played?

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Guest Dec 30, 2020

399

triangle geo

ABC is a right angled triangle with ∠B=90∘. M is the midpoint of AC and BM=sqrt(117). Sum of the lengths of the other two sides AB and BC is 30. Find the area of the triangle ABC.

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Guest Dec 30, 2020

486

number theory

Find the remainder when 5^30 is divided by 8.

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Guest Dec 30, 2020

401

base numbers

In base b, there are exactly one hundred and eighty three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, 100_10.) What is b?

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Guest Dec 30, 2020

384

Help with Geo

Polyhedron P is inscribed in a sphere of radius (meaning that all vertices of P lie on the sphere surface). What is the least upper bound on the ratio In other words, what is the smallest real number such that must be true read more ..

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Guest Dec 30, 2020

395

coordinate geometry

a,b,c are real constants such that all the lines represented by ax+by+c=0 are concurrent at a point P. This point P lies on the line ax+by+c=0 such that 7a+2b+8c=0. What are the coordinates of P?

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Guest Dec 30, 2020

420

confused by algebra

The teacher has written a quadratic on the board, but Heather can't read the linear term. She can see that the quadratic term is 4x^2 and that the constant is -24. She asks her neighbor, Noel, what the linear term is. Noel decides to tease her and just read more ..

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Guest Dec 30, 2020

427

rate problem

Jack walked up a hill at a speed of x^2 - 11x - 22 miles per hour. Meanwhile, Jill walked a total distance of x^2 - 3x - 54 miles in x - 9 hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour?

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Guest Dec 30, 2020

316

Please help

What number must be placed in the box in the equation below to produce an equation that has more than one solution: 4x+6+7x-9=12x-7-x+blank?

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Guest Dec 30, 2020

All Questions ⁺⁰230469 Questions

Ant on a Cube...

geometric math

help pls

tricky triangle

1-100 QUESTION WITH DIGITS 2, 0, 2, 1 CPHILL (or anyone)

help algebra

1-100 QUESTION I POSTED EARLIER

isosceles trapezoid

I thought I was smart till I saw this

Trigonometric Identities

geometry question

closed form

number theory question

Need help.

permutations

3d geo

help plz

triangle geo

number theory

base numbers

Help with Geo

coordinate geometry

confused by algebra

rate problem

Please help

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