All Questions ⁺⁰235615 Questions

0

26

1

+830

System

For a certain value of $k$, the system
\begin{align*}
x + y + 3z &= 10, \\
6x + 4y + z &= 18 - 5y - x, \\
kx + 7z &= 8 - 14y<#> \end{align*}<#> has no solutions. What is this value of $k$?

magenta Dec 16, 2023

0

33

1

+830

Equation

Find all values of $a$ such that $\frac{a-3}{\sqrt{a}} = \sqrt{a}$.

magenta Dec 16, 2023

0

35

1

+830

Percent

Ruth has a beaker containing a solution of $800$ mL of acid and $200$ mL of water. She thinks the solution is a little strong, so she drains $300$ mL from the beaker, adds $300$ mL of water, and stirs the solution. Ruth thinks the solution is read more ..

magenta Dec 16, 2023

0

31

1

+830

Percent

Our badminton team has finished $75\%$ of its season. So far, we have won $30\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?

magenta Dec 16, 2023

0

20

1

+830

Equation

Find all values of $x$ such that $\sqrt{4x^2} + x^2 = 6$.

magenta Dec 16, 2023

0

30

2

+25

Can someone help? I think this is a precalculus question, but it was out of the end of an Algebra II book.

$\arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}$
Please give the answer in radians.

Reallystupidguy Dec 16, 2023

0

44

0

+743

Triangle

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 18$, $BC = 18$, $CE = 6$, $AC = 14$ and $AB = 10$, then what is $DE$?

bingboy Dec 16, 2023

0

25

1

+743

Triangle

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $AF = 1$ and $DF = 2$, then what is $BD$?

bingboy Dec 16, 2023

0

21

1

+743

Square

Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?

bingboy Dec 16, 2023

0

31

0

+743

similar triangles

In triangle $ABC,$ $D$ is on side $\overline {AB}.$ We know $\triangle ABC \sim \triangle ACD$. If $BC = BD,$ what is $\angle B$ in degrees?

bingboy Dec 16, 2023

0

42

0

+743

Triangles

In the figure, angles $\angle ABC$ and $\angle AST$ are right angles. If $AC = 35,$ then what is $AS$?

bingboy Dec 16, 2023

0

39

0

+743

Triangles

In the diagram below, we have $\overline{BC}\parallel\overline{DE}$ and $AE = 20$. Find $AC$.

bingboy Dec 16, 2023

0

25

0

+743

Geometry

In the diagram below, we have $\overline{AB}\parallel\overline{DE}$ and $BD = 24$. Find $CD$.

bingboy Dec 16, 2023

0

28

0

+1768

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

bader Dec 16, 2023

0

40

0

+1768

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

bader Dec 16, 2023

+2

31

2

+180

In triangle ABC,\sin A:sin B:sin C=5:6:4. Find cos A.

In triangle ABC,\sin A:sin B:sin C=5:6:4. Find cos A.

itsash Dec 16, 2023

0

31

1

+1533

Trapezoid

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

parmen Dec 16, 2023

0

28

1

+1533

Area of a Triangle

Find the area of triangle ABC.
Given: angle A = 2 * angle C, AB = 36, BC = 60.
This is a really hard problem!

parmen Dec 16, 2023

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