All Questions ⁺⁰237754 Questions

0

33

1

+977

Geometry

Find the circumradius of triangle ABC.

magenta Jan 24, 2025

0

1

26

2

+4

question 26

If you randomly threw the 26 letters of the alphabet into the air, how many times would you need to throw them before they landed in order A-Z?
And if you allowed 1 1/2 seconds between each throw, how many years would it take? I understand read more ..

medonnieoscar Jan 24, 2025

0

34

1

+857

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BC$.

cooIcooIcooI17 Jan 24, 2025

0

38

1

+857

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BZ$.

cooIcooIcooI17 Jan 24, 2025

0

38

1

+857

Geometry

Find the area of triangle $ABC$ if $AB = 6,$ $BC = 8,$ and $\angle ACB = 90^\circ$

cooIcooIcooI17 Jan 24, 2025

0

27

1

+1271

Algebra

Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

Akhain1 Jan 24, 2025

0

2

16

1

+1271

Algebra

Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

Akhain1 Jan 24, 2025

0

1

22

2

+1271

Algebra

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab^2 = 4. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

Akhain1 Jan 24, 2025

0

2

17

1

+4

Complex Analysis

follow the technique outlined in the text to find all solutions of the given equation $(z+1)^4 = (1-i)$
This is from Complex Variables by Stephen Fisher Question 24 from section 1.2. I am a bit unsure how to answer this if someone could help read more ..

laureltree Jan 24, 2025

0

2

19

3

+1271

Algebra

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p read more ..

CPhill ●●●

Akhain1 Jan 24, 2025

Jan 23, 2025

+1

36

1

+750

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

siIviajendeukie Jan 23, 2025

0

35

1

+750

Algebra

Find the value of $v$ such that $\frac{-21-\sqrt{201}}{10}$ a root of $5x^2+21x+v = 0$.

siIviajendeukie Jan 23, 2025

0

25

1

+750

Algebra

For what values of $j$ does the equation $(2x + 7)(x - 4) = -31 + jx$ have exactly one real solution? Express your answer as a list of numbers, separated by commas.

siIviajendeukie Jan 23, 2025

0

29

1

+750

Algebra

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.

siIviajendeukie Jan 23, 2025

0

32

1

+750

Algebra

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$

siIviajendeukie Jan 23, 2025

0

33

1

+750

Algebra

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___

siIviajendeukie Jan 23, 2025

0

1

45

0

+417

Counting

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 read more ..

nathanl6656 Jan 23, 2025

0

1

44

0

+417

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 read more ..

nathanl6656 Jan 23, 2025

0

1

35

1

+417

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 read more ..

nathanl6656 Jan 23, 2025

0

37

1

+608

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 read more ..

onyuIee Jan 23, 2025

0

34

1

+608

Geometry

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

onyuIee Jan 23, 2025

0

13

1

+608

Geometry

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?

onyuIee Jan 23, 2025

0

45

0

+608

Geometry

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

onyuIee Jan 23, 2025

0

38

1

+613

Geometry

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

Pythagorearn Jan 23, 2025

0

34

1

+613

Geometry

In the diagram below, we have $AB = 24$ and $\angle ADB =90^\circ$. If $\sin A = \frac13$ and $\sin C = \frac12$, then what is $BC$?

Pythagorearn Jan 23, 2025

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