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All Questions
^{+0}
233542 Questions
0
5
1
+1714
Semicircles
Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.
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bader
Jan 17, 2024
0
15
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
27
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
12
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?
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wiseowl
Jan 17, 2024
0
23
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
14
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 ..
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wiseowl
Jan 17, 2024
-1
19
0
+1234
Inequality
Solve the inequality (x - 2)(x + 6) \le (x - 2)(x + 5). Write your answer in interval notation.
blackpanther
Jan 17, 2024
-1
24
0
+1234
Inequality
Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.
blackpanther
Jan 17, 2024
-1
17
0
+1234
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
+1234
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
+1230
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 $CM.$
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kittykat
Jan 17, 2024
0
8
0
+1230
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
18
0
+1230
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
+1230
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
+1230
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
15
0
+1230
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
+1418
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.
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parmen
Jan 17, 2024
0
30
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
25
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
21
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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