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235719 Questions
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39
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+1911
Probability
Three cards are randomly drawn from a standard deck of $52$ cards, without replacement. Find the probability that the first card is spades or an Ace, the second card is red, and the third card is a nine.
tomtom
Dec 30, 2023
0
49
1
+1911
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 next to each other, and all the adults are next to each other? (Two seatings are considered the same if
read more ..
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tomtom
Dec 30, 2023
0
23
1
+1911
counting
How many ways can you write two different letters chosen from
A B C D E F G H I J K L M N O P
so that they are in alphabetical order, and the first letter is a vowel? For example, AF and EN count, but DE and KC do not.
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tomtom
Dec 30, 2023
0
28
0
+1911
Counting
Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC
read more ..
tomtom
Dec 30, 2023
0
16
4
+1768
Octagon
Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.
ABCDEFGH is a regular oc
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bader
Dec 30, 2023
0
21
2
+1768
Centroid of a triangle
The centroid of \triangle ABC is G. Find AG.
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bader
Dec 30, 2023
0
14
3
+1364
circle
In the diagram below, chords $\overline{AB}$ and $\overline{CD}$ are perpendicular, and meet at $X.$ Find the diameter of the circle.
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sandwich
Dec 30, 2023
0
45
1
+1364
Parallelogram
Find the area of parallelogram $ABCD.$
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sandwich
Dec 30, 2023
Dec 29, 2023
0
42
0
+1533
coordinates
Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
parmen
Dec 29, 2023
0
28
1
+1533
coordinates
Line $\ell$ is drawn in the coordinate plane below. If the slope of line $\ell$ is $1,$ then find the area of the triangle determined by the line and the coordinate axes.
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parmen
Dec 29, 2023
0
37
1
+1533
circle
Find the center of the circle below.
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parmen
Dec 29, 2023
0
22
1
+1533
help with coordinates
Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + y^2 = 1$ and $(x - 1)^2 + (y - 1)^2 = 1$. Find the slope of line $PQ$.
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parmen
Dec 29, 2023
0
12
1
+1533
Circle
The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = 3x^2 + 3y^2 + 2x - 4y
is a circle. Find the radius of the circle.
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parmen
Dec 29, 2023
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