MeIdHunter

47 Questions
3 Answers

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Geometry

In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.

MeIdHunter 4 oct 2024

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+191

Geometry

In triangle $ABC,$ $AB = 3,$ $AC = 5,$ $BC = 7,$ and $D$ lies on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Find $\cos \angle BAD.$

MeIdHunter 4 oct 2024

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Geometry

What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates lee mas ..

MeIdHunter 4 oct 2024

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+191

Geometry

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 $BX$?

MeIdHunter 29 sept 2024

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+191

Geometry

In triangle $ABC$, point $D$ is on side $\overline{AC}$ such that line segment $\overline{BD}$ bisects $\angle ABC$. If $\angle A = 45^\circ$, $\angle C = 45^\circ$, and $AC = 12$, then find the area of triangle $ABD$.

MeIdHunter 29 sept 2024

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+191

Counting

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if there must be a mathematics textbook exactly in the middle, and all the psychology textbooks are lee mas ..

MeIdHunter 22 sept 2024

-1

4

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+191

Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if lee mas ..

MeIdHunter 22 sept 2024

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+191

Coutning

At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if each scientist must sit next to a mathematician? (Two seatings are considered equivalent lee mas ..

MeIdHunter 22 sept 2024

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+191

Algebra

Determine all of the following for f(x) \cdot g(x), where f(x) = -7x^4-3x^2 + 2 and g(x) = 2x^8 - 3x^7 + 5x^6 + 3x^5 - 11x^4 + 3x^3 - 18x^2 + 17x - 5.
Leading term:
Leading coefficient:
Degree: lee mas ..

MeIdHunter 18 sept 2024

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+191

Algebra

There exists a polynomial f(x) and a constant k such that
(x^2 - 2x - 5) f(x) = x^4 - 2x^3 + kx^2
What is k?

MeIdHunter 18 sept 2024

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+191

Help meee!

Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 5, AC = 5, CB = 5

MeIdHunter 18 sept 2024

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5

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+191

Plz help

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

MeIdHunter 18 sept 2024

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+191

Algebra

Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.

MeIdHunter 11 sept 2024

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3

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+191

Algebra

Let a1, a2, a3, ..., a10 be an arithmetic series. If a1 + a3 = -2 and a2 + a4 + a6 = 1, then find a1.

MeIdHunter 10 sept 2024

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+191

Algebra

Let z and w be complex numbers such that |z|=1,|w|=1, and |z-w|=1. Find |z+w| .

MeIdHunter 9 sept 2024

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+191

Need help

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.

MeIdHunter 9 sept 2024

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+191

Help plz!

What is the coefficient of $x$ in $(x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)$?

MeIdHunter 9 sept 2024

+191

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The answer is 85a + 43b.

MeIdHunter28 ago 2024

+191

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28% of the tub will be full of water in the steady state.

MeIdHunter28 ago 2024

+191

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The water leaves the bathtub at a rate of 0.68 m/s.

MeIdHunter28 ago 2024