All Questions ⁺⁰236027 Questions

0

5

1

+1768

Semicircles

Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.

bader Jan 17, 2024

0

30

0

+1678

help 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 together? (Two seatings are considered the same if one can be rotated to form the other.)

wiseowl Jan 17, 2024

0

48

0

+1678

Counting question

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 all the psychology textbooks are together?

wiseowl Jan 17, 2024

0

18

2

+1678

help counting

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?

wiseowl Jan 17, 2024

0

37

0

+1678

Counting

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

wiseowl Jan 17, 2024

0

17

1

+1678

Counting

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

wiseowl Jan 17, 2024

-1

35

0

+1521

Inequality

Solve the inequality (x - 2)(x + 6) \le (x - 2)(x + 5). Write your answer in interval notation.

blackpanther Jan 17, 2024

-1

39

0

+1521

Inequality

Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.

blackpanther Jan 17, 2024

-1

39

0

+1521

Inequality

Solve the inequality 4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1). Write your answer in interval notation.

blackpanther Jan 17, 2024

0

7

0

+1521

Inequality problem

Solve the inequality
\frac{3-z}{z+1} \ge 2(z + 4).
Write your answer in interval notation.

blackpanther Jan 17, 2024

0

6

1

+1455

circle

Let $\overline{AB}$ be a diameter of a circle, and let $C$ be a point on the circle. The angle bisector of $\angle ACB$ intersects the circle at point $M.$ Find $CM.$

kittykat Jan 17, 2024

0

8

0

+1455

Circle

A circle is centered at $O.$ The tangent to the circle at $P$ is extended to $Q.$ Line segment $\overline{QS}$ intersects the circle at $R.$ Find the area of the circle.

kittykat Jan 17, 2024

0

35

0

+1455

chords

Let $\overline{TU}$ and $\overline{VW}$ be chords of a circle, which intersect at $S$, as shown. Find $SW$.

kittykat Jan 17, 2024

0

5

0

+1455

Circle

Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $CD = 34$, then find the minimum length of $CQ$.

kittykat Jan 17, 2024

0

7

0

+1455

Circles

Let $X$, $Y$, and $Z$ be points on a circle. Let line $XY$ and the tangent to the circle at $Z$ intersect at $W$. If $\overline{WY} \perp \overline{WZ}$, then find $YZ$.

kittykat Jan 17, 2024

0

30

0

+1455

Chords

Chords $\overline{AB}$ and $\overline{CD}$ of a circle meet at $P$. If $AP = 3 \cdot PB$, then what is $AB$?

kittykat Jan 17, 2024

0

7

1

+1557

Semicircle

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 $BC = 1$ and $AC = 2$, then find the radius of the semicircle.

parmen Jan 17, 2024

0

52

0

+400

Inequality

Solve the inequality x^3 + 4x > 5x^2 - 17x - x^4 + 3. Write your answer in interval notation.

omgitsrne Jan 17, 2024

0

50

0

+400

Inequality

Solve the inequality $x^3 + 4x > 5x^2 + 2x - x^3 + 7x^2 - 36$. Write your answer in interval notation.

omgitsrne Jan 17, 2024

0

52

0

+400

Inequality

Find all real values of x such that
\frac{x^2 + 2x + 5}{3x^2 - x - 4} + \frac{x^2 + 4x + 8}{x^2 - 4x - 5} \ge 0.
Note: Your solution should be thorough, and explain why all your values are the only values that satisfy the inequality. read more ..

omgitsrne Jan 17, 2024

0

4

0

+400

Algebra problem

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks read more ..

omgitsrne Jan 17, 2024

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