All Questions ⁺⁰237313 Questions

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64

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+1926

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

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73

1

+1926

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 ..

tomtom Dec 30, 2023

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49

1

+1926

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.

tomtom Dec 30, 2023

0

53

0

+1926

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

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23

4

+1776

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 read more ..

bader Dec 30, 2023

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48

2

+1776

Centroid of a triangle

The centroid of \triangle ABC is G. Find AG.

bader Dec 30, 2023

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26

3

+1348

circle

In the diagram below, chords $\overline{AB}$ and $\overline{CD}$ are perpendicular, and meet at $X.$ Find the diameter of the circle.

sandwich Dec 30, 2023

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69

1

+1348

Parallelogram

Find the area of parallelogram $ABCD.$

sandwich Dec 30, 2023

Dec 29, 2023

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60

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+1729

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

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37

0

+1729

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.

parmen Dec 29, 2023

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66

1

+1729

circle

Find the center of the circle below.

parmen Dec 29, 2023

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45

1

+1729

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 $PQ$.

parmen Dec 29, 2023

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19

1

+1729

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.

parmen Dec 29, 2023

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