All Questions ⁺⁰234666 Questions

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Probability

Triangle XYZ is equilateral, with O as its center. A point P is chosen at random. Find the probability that P is closer to point O than to any of the side lengths.

blackpanther Feb 27, 2024

-3

26

0

+1323

help with probability

The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both contain read more ..

blackpanther Feb 27, 2024

-1

26

1

+68

Trig help

Find constants a, b, c, d and e such that cos4x=a(sin^4)x+b(sin^3)x+c(sin^2)x+d(sin)x+e for all angles x. In other words, write cos(4x) as a polynomial in sin(x).

LearningCat Feb 27, 2024

-1

2

1

+556

Binomial

The entries in a certain row of Pascal's triangle are
\[1, n, \dots, n, 1.\]
The average of the entries in this row is 2. Find $n$.

booboo44 Feb 27, 2024

-1

34

1

+556

Counting

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?

booboo44 Feb 27, 2024

-1

22

0

+556

counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

booboo44 Feb 27, 2024

-1

21

1

+1341

Triangle

The perimeter of the triangle below is an integer. What is the smallest possible value of the perimeter? (Assume that the triangle is non-degenerate.) read more ..

kittykat Feb 27, 2024

-2

15

2

+1323

Geometry

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

blackpanther Feb 27, 2024

0

29

1

+1323

Triangles

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect PX (AX incorrect) at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area of triangle PQR</ read more ..

blackpanther Feb 27, 2024

-2

20

1

+1323

Trig Problem

In square ABCD, P is on BC such that BP = 4 and PC = 1, and Q is on line CD such that DQ = 2 and QC = 3. Find sin angle PAQ.

blackpanther Feb 27, 2024

0

17

2

+0

Tough Algebra

The equation
has distinct roots . Evaluate

EnormousBighead Feb 27, 2024

-1

19

1

+0

Distance and circles plz help ASAP, thxx

What is the smallest distance between the origin and a point on the graph of

Someoneguuuuud Feb 27, 2024

0

22

1

+0

Polynomial division plz help ASAP

Find a polynomial f(x) of degree 5 such that both of these properties hold:
f(x) is divisible by .
f(x)+3 is divisible by .
Write your answer in expanded form.

Someoneguuuuud Feb 27, 2024

0

26

1

+673

Triangle

Triangle DEF is equilateral. Find AE.

DA = 3, AF = 2

magenta Feb 27, 2024

Feb 26, 2024

0

27

1

+0

Probability

n coins are simultaneously flipped. The probability that at most one of them shows tails is 5/16. Find n. Thanks !

snomuffinz Feb 26, 2024

0

17

5

+673

Geometry

A square is inscribed in a right triangle, as shown below. The legs of the triangle are 1 and 3. Find the area of the square.

●●●●●

magenta Feb 26, 2024

-1

23

1

+673

Triangle question

In triangle $ABC$, $\angle A = 30^\circ$ and $\angle B = 90^\circ$. Point $X$ is on side $\overline{AC}$ such that line segment $\overline{BX}$ bisects $\angle ABC$. If $BC = 12$, then find the area of triangle $BXA$.

magenta Feb 26, 2024

-1

19

1

+0

What is the equation of the midline of the function?

What is the equation of the midline of the function f(x)=5.6sin(1.2x−2.3)+1.8?
y = -2.3
y = -1.8
y = 1.8 read more ..

that1ryanblaneyfan Feb 26, 2024

-2

18

1

+1323

Triangle

In triangle ABC, the angle bisector of angle BAC meets BC at D. If angle BAC=60 degrees, angle ABC=60 degrees and AD=24 then find the area of triangle ABC.

blackpanther Feb 26, 2024

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