All Questions ⁺⁰237783 Questions

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+1022

Geometry

The area of a cross section of a sphere is 64\% of the largest possible cross sectional area of the sphere. If the sphere has radius 1/2, what is the area of the cross section?

gnistory Apr 4, 2025

0

1

3

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+980

Geometry

The base of right pyramid ABCDE is a rhombus with side 5. We also know that \triangle ABD \cong \triangle CBD and EA=BA=2. Find the volume of the pyramid.

booboo44 Apr 4, 2025

0

14

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+306

Geometry

In the diagram, \overline{AD} is an altitude, \overline{BE} is a median, and \overline{AD}, \overline{BE}, and \overline{CF} are concurrent. If AB = 11, AC = 12, and AD = 6, what is AF?

AUnVerifedTaxPayer Apr 4, 2025

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+412

i need help

In the diagram below, \overline{AD} and \overline{BE} are angle bisectors of \angle BAC and \angle ABC, respectively, and they intersect at T. We know that BC = 12, AC = 18 and BF = 3 \cdot AF. Find AB.

Stanry Apr 4, 2025

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+412

help me plz

The left column contains pairs of triangles with different side-length and angle-measure congruences marked. Match each diagram in the left column with a congruence/similarity criterion in the right column that justifies why the two triangles are congruent/similar. read more ..

Stanry Apr 4, 2025

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+412

need help

The left column contains pairs of triangles with different side-length and angle-measure congruences marked. Match each diagram in the left column with a congruence/similarity criterion in the right column that justifies why the two triangles are read more ..

Stanry Apr 4, 2025

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+71

Counting and Probability, Melody or CPhill help ;-;

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probability that all three resulting pieces are shorter than 5 units?
What I've tried so far:
I've treated the stick as read more ..

Starry Apr 4, 2025

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+1540

Geometry

In the diagram below, we know \tan \theta = \frac{3}{4}. Find the area of the triangle.
The triangle is right, and the hypotenuse is 80.

learnmgcat Apr 4, 2025

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+1540

Geometry

Find the value of \sin 40^\circ \cdot \cos 50^\circ \cdot \cos 40^\circ \cdot \sin 50^\circ.

learnmgcat Apr 4, 2025

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+519

Geometry

Find sin B.
BD = 15, CD = 10, AC = 6

bIueb3rry Apr 4, 2025

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10

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+519

Geometry

Find AC in the diagram to the nearest integer.
(You will need to use a calculator. Make sure to use "Degree" instead of "Radian" as the angle unit when computing trigonometric functions.)
AB = 31, angle A = 90 degrees, read more ..

bIueb3rry Apr 4, 2025

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14

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+519

Geometry

In \triangle PQR, we have \angle P = 90^\circ, PQ=3, and QR = 5. Find \tan R.

bIueb3rry Apr 4, 2025

Apr 3, 2025

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1

+823

Algebra

For a positive integer n, let f(n) denote the integer that is closest to \sqrt[4]{n}. Find the integer m so that
\sum_{n = 1}^m f(n) = 100.

crimefightingvigiI Apr 3, 2025

Apr 2, 2025

0

8

0

+823

Algebra

For how many integer values of a does the equation
x^2 + ax + 12a = 5x + 8
have integer solutions for x?

crimefightingvigiI Apr 2, 2025

Apr 1, 2025

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6

0

+1733

Algebra

Let a and b be positive real numbers. Let
m = \min \left\{ a, \frac{1}{b}, b^2 + \frac{1}{a + 1} \right\}.
Find the largest possible value of m.

parmen Apr 1, 2025

0

19

0

+230

Algebra

The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
xf(x) + f(1 - x)/x = x^3 + 3x^2 + 14x - 13
for all real x. Find f(x).

HumanBemg Apr 1, 2025

Mar 31, 2025

+2

11

1

+6

Hello, guys and gals.

안녕하세요, 여러분. 저는 여러분이 파이에 대해 배우도록 이 글을 찾아오겠습니다. 파이는 정당한 스러울 수 있는 동그라미입니다. 그럼요. 이 문자 그대로 무한한 숫자의 여행을 시작하면 됩니다. 그리고, 위의 경고를 꼭 읽어주세요. 피자는 날씨가 좋으니까요.
1. PI란 무엇인가?
파이는 원의 직경과 원둘레이의 경우입니다. 흥미로운 점은 우주만큼 크든 원자핵만큼 작든 모든 원에 대해 동일하다는 것입니다.
원의 read more ..

xhxmsja Mar 31, 2025

Mar 30, 2025

0

18

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+52

Algebra

Find all complex solutions to the equation z^3 = 8i - (15 + 2i)z^2 + (7 - 4i)z.

XenosmiIus Mar 30, 2025

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12

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+52

Algebra

Find all complex numbers z such that |z - 1| = |z + 3| + |z - 2i|.

XenosmiIus Mar 30, 2025

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+52

Algebra

For parts (a) through (d), let f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.
What is the vertex of the parabola y = f(x)?

XenosmiIus Mar 30, 2025

0

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+52

Algebra

What is the equation of the line of symmetry of the parabola $y = f(x)$.
f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.

XenosmiIus Mar 30, 2025

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+498

Geometry

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

MeIdHunter Mar 30, 2025

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+498

Geometry

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

MeIdHunter Mar 30, 2025

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5

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+498

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

MeIdHunter Mar 30, 2025

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+4

help please

Find the area of triangle ABC
[asy]
unitsize (2 cm);
pair A, B, C, D, E, F, H;
A = (0,2);
B = (-1,0);<#> C = (1,0);<#> D = (0,0);<#> E = (B + reflect(A,C)*(B))/2;<#> F = (C + reflect(A,B)*(C))/2;<#> read more ..

whatthedonut Mar 30, 2025

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