All Questions ⁺⁰234831 Questions

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+700

Geometry

A square is inscribed in a right triangle, as shown below. Find the area of the square.

I don't know how to add an image but the right triangle as a base of 1 and a height of 3.

magenta Sep 30, 2024

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+700

Geometry

Point $B$ is the image of point $A$ under a dilation with center $O$. If $OB = 30$, and the scale factor of the dilation is $5$, then what is $OA$?

magenta Sep 30, 2024

Sep 29, 2024

+1

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1

+700

Geometry

The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.

magenta Sep 29, 2024

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2

+790

Algebra

Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$

eramsby1O1O Sep 29, 2024

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1

+145

Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 98% water, by weight. After two days in the sun, the water content of the berries was only 95%, by weight. What was the total weight of the berries read more ..

MEMEG0D Sep 29, 2024

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+145

Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

MEMEG0D Sep 29, 2024

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+145

Algebra

The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.

MEMEG0D Sep 29, 2024

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+535

Algebra

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

siIviajendeukie Sep 29, 2024

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+535

Algebra

How many unique sums can be formed by adding any three different numbers from the set {4,6,8,10,12,...,154}?

siIviajendeukie Sep 29, 2024

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+535

Algebra

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

siIviajendeukie Sep 29, 2024

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2

+12

Geometry question

In triangle and are points on side If , , , and , then find .

imsmarter1234 Sep 29, 2024

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+12

Geometry

In the diagram below, we have and . If and , then find x.

imsmarter1234 Sep 29, 2024

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+1911

Algebra

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are 1 + 2x + 3x^2 + 4x^3 + ... Find c.

tomtom Sep 29, 2024

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1

+1911

Algebra

Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.

tomtom Sep 29, 2024

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+1911

Algebra

Find the largest real number $c$ such that $1$ is in the range of $f(x)=x^2-5x+c-3x+8$.

tomtom Sep 29, 2024

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+1911

Algebra

For what values of $j$ does the equation $(2x + 7)(x - 4) = -31 + jx$ have exactly one real solution? Express your answer as a list of numbers, separated by commas.

tomtom Sep 29, 2024

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+1911

Algebra

Find the value of $v$ such that $\frac{-21-\sqrt{201}}{10}$ a root of $5x^2+21x+v = 0$.

tomtom Sep 29, 2024

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1

+1911

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

tomtom Sep 29, 2024

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+179

Geometry

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $BC = 15,$ and $CX = 5$. What is $BX$?

MeIdHunter Sep 29, 2024

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+179

Geometry

In triangle $ABC$, point $D$ is on side $\overline{AC}$ such that line segment $\overline{BD}$ bisects $\angle ABC$. If $\angle A = 45^\circ$, $\angle C = 45^\circ$, and $AC = 12$, then find the area of triangle $ABD$.

MeIdHunter Sep 29, 2024

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+4

A square is inscribed in a right triangle. Find the area of the square.

A square is inscribed in a right triangle. Find the area of the square.
legs are length 1 and 3.

CeeisDee Sep 29, 2024

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1

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+106

Counting

Prove that given any set of $17$ integers, there exist nine of them whose sum is divisible by $2.$

jaekg Sep 29, 2024

Sep 28, 2024

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+543

Geometry

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.

gnistory Sep 28, 2024

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