bIueb3rry

65 Questions
15 Answers

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Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

bIueb3rry vor 4 Stunden

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Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

bIueb3rry vor 4 Stunden

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Geometry

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 $CE =3$ and $DF = 3$, then what is $BD$?

bIueb3rry vor 5 Stunden

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Geometry

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 $DE$?

bIueb3rry vor 5 Stunden

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Counting

Catherine rolls a standard 6-sided die six times. If the product of her rolls is 200, then how many different sequences of rolls could there have been? (The order of the rolls matters.)

bIueb3rry 11.11.2024

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Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

bIueb3rry 11.11.2024

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Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find mehr ..

bIueb3rry 10.11.2024

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Algebra

If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

bIueb3rry 05.11.2024

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Algebra

Five times a number is divided by $2$ more than that number. If the result is $6,$ then what was the original number?

bIueb3rry 05.11.2024

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Algebra

Find all values of $a$ that satisfy the equation
\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.

bIueb3rry 05.11.2024

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Algebra

A line passes through the points A, B, and C. Find y.
A = (-7,2), B = (8,-14), C = (10,y)

bIueb3rry 04.11.2024

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Algebra

Find the equation whose graph is shown below. Write your answer in standard form.
(Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor $1$.)

bIueb3rry 04.11.2024

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Geometry

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find mehr ..

bIueb3rry 04.11.2024

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Number Theory

Find the 4000th digit following the decimal point in the expansion of \frac{1}{17}.

bIueb3rry 29.10.2024

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Number Theory

How many bases b \ge 2 are there such that 100_b + 1_b is prime?

bIueb3rry 29.10.2024