All Questions ⁺⁰235714 Questions

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Geometry

The base of a triangle is of length b, and the altitude is of length h. A rectangle of height x is inscribed in the triangle with the base of the rectangle in the base of the triangle. The area of the rectangle is:
a) read more ..

DS2011 Jan 13, 2024

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39

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+1439

Triangle

We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

kittykat Jan 13, 2024

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43

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+1439

Triangle

In triangle $ABC$, $AB = 10$ and $AC = 15$. Let $D$ be the foot of the perpendicular from $A$ to $BC$. If $BD:CD = 1:3$, then find $AD$.

kittykat Jan 13, 2024

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44

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+1439

Triangle

In triangle $ABC$, $AB = 7$, $AC = 17$, and the length of median $AM$ is $12$. Find the area of triangle $ABC$.

kittykat Jan 13, 2024

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47

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+1439

Triangle

Suppose that there is a right triangle $\triangle ABC$ such that the legs $AB$ and $BC$ have lengths $4\sqrt{2}$ and $5,$ respectively. What is the length of the median $BM$?

kittykat Jan 13, 2024

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34

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+1768

Graphing question

I have this graphing question

bader Jan 13, 2024

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45

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+1768

help hard geometry

I need steps for this

bader Jan 13, 2024

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18

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+1439

Solid geometry

Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting read more ..

kittykat Jan 13, 2024

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47

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+306

Quadratic

Find the sum of the squares of the roots of $2x^2+4x-1=x^2-8x+3$.

nathanl6656 Jan 13, 2024

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+306

Quadratic

The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?

nathanl6656 Jan 13, 2024

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52

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+306

Domain

Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.

nathanl6656 Jan 13, 2024

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45

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+1911

Triangle

Find the inradius of triangle ABC.

tomtom Jan 13, 2024

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46

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+1911

Triangle

Find the circumradius of triangle $ABC.$

tomtom Jan 13, 2024

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Find the area of Triangle ABC

i think that i should use like law of sines of cosines but I'm not sure, could I get some help, really don't know where to start...

itsash Jan 13, 2024

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Inverse Functions!

Any help is appreciated! I tried finding the inverse but I don't know the next step. Can someone please help, thanks!! Let f(x)=3x-4 and g(x)=5x+c . Find c if f(g(x) and g(f(x) for all x. read more ..

ElectricPavlov ●●

breadysetgo Jan 13, 2024

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+1533

Angle Bisectors

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BC$.

parmen Jan 13, 2024

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+1533

Angle Bisectors

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BZ$.

parmen Jan 13, 2024

Jan 12, 2024

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+743

Right Triangles

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 5,$ and $CX = 5$. What is $BX$?

bingboy Jan 12, 2024

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Trig Problem

A student lets out 30 meter of string on a kite from a hand height of 1 meter. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest meter.

ElectricPavlov ●

DS2011 Jan 12, 2024

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+743

Area of Triangle

Find the area of triangle $ABC$ if $AB = 6,$ $BC = 8,$ and $\angle ACB = 30^\circ$.

bingboy Jan 12, 2024

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+743

Altitudes

In triangle $ABC,$ $AB = 15,$ $BC = 10,$ and $AC = 12.$ Find the length of the shortest altitude in this triangle.

bingboy Jan 12, 2024

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+743

Triangle

In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 45^\circ,$ $\angle ABC = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

bingboy Jan 12, 2024

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