All Questions ⁺⁰237671 Questions

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412

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trapezoid

ABCD is a trapezoid with bases AB and DC. We know that angle C equals 60 and angle D=45. If AB=5-2sqrt3 and BC=8, what is DC?

Guest May 23, 2021

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296

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algebra

Let (x_1, y_1), (x_2, y_2), ..., (x_n, y_n) be the real solutions to the system
x + 8y = 7
x^3 + 8y^3 = 343/81
Enter x_1 + y_1 + x_2 + y_2 + ... + x_n + y_n. read more ..

Guest May 23, 2021

May 22, 2021

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327

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help

We draw a card from a standard deck. What is the probability that it is a Jack, Queen, King, or is it red?

Guest May 22, 2021

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310

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Guess this word

Guest May 22, 2021

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397

1

Roots

The roots of x^2 + 8x + 4 are the same as the roots of Ax^2 + x + B . What is A + B?

Guest May 22, 2021

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489

1

+48

What is the total surface area of this prism? https://docs.google.com/document/d/1EyGkogIovEYXBpIgBY3YMLzYslaI34Gp_pq9hez7pBk/edit

What is the total surface area of this prism?
https://docs.google.com/document/d/1EyGkogIovEYXBpIgBY3YMLzYslaI34Gp_pq9hez7pBk/edit

someonewhodoesmath May 22, 2021

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353

1

Polynomials

Let f, g, and h be polynomials such that h(x) = f(x) + g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

Guest May 22, 2021

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348

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polynomial

Consider the polynomial f(x) = 1 - 12x + 3x^2 - 4x^3 + 5x^4 and g(x) = 3 - 2x - 6x^3 + 19x^4. Find c such that the polynomial f(x) + cg(x) has degree 3.

Guest May 22, 2021

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272

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coordinates

The equation of the line passing through (1,11) and (4,8) can be expressed in the form
x/a + y/b = 1.
Find a.

Guest May 22, 2021

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356

1

help with number theory

A unit fractionis a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write 1/60 as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered read more ..

Guest May 22, 2021

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296

0

polynomial

Find a monic cubic polynomial P(x) with integer coefficients such that $P(\sqrt[3]{4} + 1) = 0$. (A polynomial is monic if its leading coefficient is 1.)

Guest May 22, 2021

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299

0

polynomial

Find a monic polynomial of degree 4, in x, with rational coefficients such that sqrt(2) + sqrt(5) is a root of the polynomial.

Guest May 22, 2021

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324

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probability

There are 3 math clubs in the school district, with 5, 7, and 8 students respectively. Each club has two co-presidents. If I randomly select a club, and then randomly select four members of that club to give a copy of Introduction to Counting and Probability, read more ..

Guest May 22, 2021

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368

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probability

A point (x,y) is randomly selected such that 0 <= x <= 3 and 0 <= y <= 8. What is the probability that x + y <= 4? Express your answer as a common fraction.

Guest May 22, 2021

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335

1

probability

A point P is randomly selected from the square region with vertices at $(\pm 1, \pm 1)$. What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi.

Guest May 22, 2021

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352

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GCD/LCM

If the least common multiple of two 6-digit integers has 10 digits, then their greatest common divisor has at least how many digits?

Guest May 22, 2021

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621

4

+48

ABCDEFGH is a rectangular prism with CD = 5, AD = 6, and AE = 8. Find the volume of tetrahedron ABCF.

ABCDEFGH is a rectangular prism with CD = 5, AD = 6, and AE = 8. Find the volume of tetrahedron ABCF.
picture: https://docs.google.com/document/d/1hegf5RxwIpDmmHgV4Q4RMiPwmeOvlzYMTLivVCiJMZ8/edit

someonewhodoesmath May 22, 2021

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457

1

+14

halp

Our club has 10 members, and we need to appoint a president, a vice-president, and a secretary. How many ways can we do this if: (a) Each member can hold at most one office? (b) members can hold any number of offices?

lycheeeee May 22, 2021

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717

2

+48

ABCDEFGH is a rectangular prism with CD = 5, AD = 6, and AE = 8. Find the volume of tetrahedron ABCD.

ABCDEFGH is a rectangular prism with CD = 5, AD = 6, and AE = 8. Find the volume of tetrahedron ABCD.
picture: https://docs.google.com/document/d/1hegf5RxwIpDmmHgV4Q4RMiPwmeOvlzYMTLivVCiJMZ8/edit

someonewhodoesmath May 22, 2021

0

570

1

+48

please help!

A line goes through (2, 3) and (−8,−2). The line has an x-intercept of P and a y-intercept of Q. Let the origin be O. Find the area of OPQ

someonewhodoesmath May 22, 2021

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