AUnVerifedTaxPayer

9 Questions
1 Answers

0

2

1

+37

Counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, including Mark?

AUnVerifedTaxPayer Sep 12, 2024

0

2

1

+37

Counting

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

AUnVerifedTaxPayer Sep 12, 2024

0

1

0

+37

Counting

You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways read more ..

AUnVerifedTaxPayer Sep 12, 2024

0

1

0

+37

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

AUnVerifedTaxPayer Sep 11, 2024

0

1

1

+37

Geometry

Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle QTA = 45^\circ$ and $\angle RUA = 45^\circ,$ then find $\angle QXR,$ in degrees.

AUnVerifedTaxPayer Sep 7, 2024

0

1

0

+37

Geometry

The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XZ = 5$ and $YZ = 2,$ find $WX.$

AUnVerifedTaxPayer Sep 7, 2024

0

1

0

+37

Geometry

In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $1$ and $AB = 2$, then find $AC.$

AUnVerifedTaxPayer Sep 7, 2024

+1

1

2

+37

need help

A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point $P$ on the edge of the table (as shown below) has a distance of $3$ from one wall, and a distance of $3$ from the other wall. Find the radius read more ..

AUnVerifedTaxPayer Sep 7, 2024

0

1

1

+37

help geometry

Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle. The length of $\overline{PA}$ is $5,$ and $AB$ has a length of 6. Find the radius of the circle.</ read more ..

AUnVerifedTaxPayer Sep 7, 2024