All Questions ⁺⁰236031 Questions

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+101

Trig Problem

A semicircle is inscribed in triangle XYZ so that its diameter lies on YZ, and is tangent to the other two sides. If XY = 10, XZ = 10, and YZ = 16, then find the area of the semicircle. read more ..

Vxritate Feb 8, 2024

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3

1

+101

Trig problem

Chords UV, WX, and YZ of a circle are parallel. The distance between chords UV} and overlineWX is 3, and the distance between chords WX and YZ} is also 3. If UV = 38 and YZ = 22, then find WX. read more ..

Vxritate Feb 8, 2024

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41

1

+400

Piecewise Function

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

omgitsrne Feb 8, 2024

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2

1

+400

Floor Function

Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.

omgitsrne Feb 8, 2024

0

3

1

+400

Hard sum

Let f(x) = \left \lfloor \frac{2 - 3x}{x + 3} + x^2 \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).

omgitsrne Feb 8, 2024

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32

1

+400

Algebra

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

omgitsrne Feb 8, 2024

-1

20

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+1521

Need help

Let ABCD be a trapezoid with bases AB and CD. Let P be a point on side CD, and let X, Y be the feet of the altitudes from P to AD, BC respectively. Prove that if AD = 5, BC = 7, AB = 6, CD = 12, and CP/PD = 1, then PX = 12*sqrt(6)/5 and PY = read more ..

blackpanther Feb 8, 2024

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47

2

+0

Trig. Functions

I can really use some help. I am completely lost. It is multiple questions
A marching band performs on the football field at half-time. As they perform, the members of the band stand in the shape of a sinusoidal function. While playing, read more ..

Maizy Feb 8, 2024

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29

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+0

pls help geometry

A regular triangle with sides of length 3 is inscribed into a circle. A second circle is inscribed between the triangle and the first circle. Find the radius of the second circle.
Explain the formula please

Curry30shivank Feb 8, 2024

Feb 7, 2024

+1

44

4

+0

Please help (conversion of bases)

Let x be the binary number (0.001001001 . . .)2 and let y be the octal number (0.666666 . . .)8. What is x + y in decimal?
Please explain your answer.

hairyberry ●●●●

Curry30shivank Feb 7, 2024

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46

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+0

Discrete Mathmatics

xXValeXx Feb 7, 2024

-1

52

1

+1521

help with inequality

Find all $w$ so that neither $-2(6+2w)\le -16 + 7w$ nor $-3w\ge 18 - 5w + 3$.

blackpanther Feb 7, 2024

-1

39

1

+1521

Intervals

Find all $z$ such that neither $2+z-5z$ nor $2-z+8z$ is in the interval $(-7,13]$. Express your answer as an interval or as a union of intervals.

blackpanther Feb 7, 2024

-1

31

1

+1521

Inequality

Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.

blackpanther Feb 7, 2024

-1

45

1

+1521

Inequality problem

Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.

blackpanther Feb 7, 2024

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22

2

+400

Bisectors

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF which intersect at I. If DI=3, BD=4 and BI=6 then compute the area of triangle BID.

omgitsrne Feb 7, 2024

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13

1

+400

Right triangle

In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.

omgitsrne Feb 7, 2024

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24

1

+400

Angle problem

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

omgitsrne Feb 7, 2024

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40

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+400

Angle problem

In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.
If angle CAD = 67 degrees, then what is angle read more ..

omgitsrne Feb 7, 2024

0

43

1

+1768

Quadratic problem

Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

bader Feb 7, 2024

0

3

1

+1768

Integer solutions

If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?

bader Feb 7, 2024

+1

56

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+28

I don’t know how to do this

Find z/x if (x,y,z) is a triple that gives the maximum value in Part a.
Here is the problem and solution from part A:
Problem:
For positive real numbers x, y, and z, what is the maximum possible read more ..

WaterPheonix Feb 7, 2024

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3

1

+101

trig problem

Two circles are externally tangent at T. The line AB is a common external tangent to the two circles, and P is the foot of the altitude from T to line AB. Find the length TP. read more ..

Vxritate Feb 7, 2024

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17

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+773

Semicircles

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

booboo44 Feb 7, 2024

+1

48

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+773

Circumcircles

In triangle ABC, point X is on side BC such that AX=5, BX=5, CX=4, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

booboo44 Feb 7, 2024

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