All Questions ⁺⁰235756 Questions

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13

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+19

help me!

Triangle ABC is rotated completely around side BC, sweeping out a solid in space. Find the volume of the solid.
AB = 5, AC = 5, CB = 8
i dont really get how this works help plz!!

helpmeeee Mar 27, 2024

0

41

0

+1246

Quadrilateral

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 $DE$?

Akhain1 Mar 27, 2024

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27

0

+1246

Triangle question

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 $BD$?

Akhain1 Mar 27, 2024

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37

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+1246

help geometry

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

Akhain1 Mar 27, 2024

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21

3

+85

Hard Geometry Problems

These are difficult
1.

2.
<#> 3.<#> read more ..

Akhaim1 Mar 27, 2024

0

36

0

+1246

Medians of a Triangle

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

Akhain1 Mar 27, 2024

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22

1

+359

Trapezoid

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

falafronk Mar 27, 2024

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33

0

+359

Angles

A quadrilateral has angles of $q$, $4q + 17^\circ $, $8q + 21^\circ$, and $15q + 148^\circ $. Find the largest angle of the quadrilateral, in degrees.

falafronk Mar 27, 2024

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14

1

+359

Triangle

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 $ABD$.

falafronk Mar 27, 2024

0

17

2

+118

PLEASE HELP ASAP

You decide to take advantage of the store’s payment plan. The Chromebook costs $499.99. The payment plan’s terms are as follows: 18 equal monthly payments, 6% interest p.a., compounded monthly. What is the total cost that you will end up paying for the read more ..

SilviaJendeukie Mar 27, 2024

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14

1

+359

Triangle

All the sides of a triangle are integers. If the perimeter of the triangle is $3,$ then how many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are co read more ..

falafronk Mar 27, 2024

0

5

2

+359

Geometry

There are four cities: Capital City, Little Village, Mytown, and Yourtown. The distance from Capital City to Little Village is $5$ miles. The distance from Capital City to Mytown is $2$ miles. The distance from Mytown to Yourtown is $3$ read more ..

falafronk Mar 27, 2024

0

27

1

+359

Altitudes

Triangle $ABC$ has altitudes $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$ If $AD = 12,$ $BE = 20,$ and $CF$ is a positive integer, then find the largest possible value of $CF.$

falafronk Mar 27, 2024

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29

0

+2669

Circles

The circles $x^2 + y^2 = 4$ and $(x - 5)^2 + (y - 8)^2 = 60$ intersect in two points $A$ and $B.$ Find the distance $AB$.

LiIIiam0216 Mar 27, 2024

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32

0

+2669

Algebra

Let $f(x)$ be a polynomial with integer coefficients. There exist distinct integers $p,$ $q,$ $r,$ $s,$ $t$ such that
\[f(p) = f(q) = f(r) = f(s) = 1\]
and $f(t) > 1.$ What is the smallest possible value of $f(t)?$

LiIIiam0216 Mar 27, 2024

-1

14

1

+2669

Quadratic

Let $f(x) = x^2 + bx + 12 - 3x + 10$ for all real numbers $x$. Find the greatest integer value of $b$ such that $-4$ is not in the range of $f(x)$.

LiIIiam0216 Mar 27, 2024

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37

0

+2669

Quadratic

Let $f(x) = x^2 + bx + 2 - 3x + 8$ for all real numbers $x$. For what real values of $b$ is $-2$ not in the range of the function $f(x)$? Express your answer in interval notation.

LiIIiam0216 Mar 27, 2024

+1

22

1

+5

help

A cylinder has a height of 6 centimeters and a diameter of 20 centimeters. What is its volume? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

cubic centimeters

Notheydude23 Mar 27, 2024

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46

0

+2669

Numbers

Arrange the following numbers in increasing order (smallest first, biggest last)
A = 2^(1/2)*4^(1/6)
B = (128)^(1/12)/64^(1/3)
C = (8^(1/5))^(2^2) read more ..

LiIIiam0216 Mar 27, 2024

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32

0

+2669

Inequality

Solve the inequality
\[\frac{3-z}{z+1} \ge 2 + 7z.\]
Write your answer in interval notation.

LiIIiam0216 Mar 27, 2024

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28

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+2669

Help inequality

Solve the inequality $4t^2 \le -9t + 12 - 14t + 36.$ Write your answer in interval notation.

LiIIiam0216 Mar 27, 2024

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35

0

+2669

Inequality

Solve the inequality $x(x + 6) > 16 - 5x + 33.$ Write your answer in interval notation.

LiIIiam0216 Mar 27, 2024

+1

23

2

+10

URGENT question

All members of our painting team paint at the same rate. If $8$ members can paint a specific wall in $45$ minutes, then how long would it take $18$ members to paint the same wall, in minutes?

ThreeLetters Mar 27, 2024

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25

1

+2669

System

For a certain value of k, the system
x + y + 3z = 10 - x + 5y,
4x + 2y + 5z = 7 + 11y + 19z,
kx + z = 3 + 5y
has no solutions. What is this value of k?

LiIIiam0216 Mar 27, 2024

0

38

1

+2669

Quadratic

Let a and b be the roots of the quadratic x^2 - 5x + 3 = -2x^2 + 11x - 14. Find the quadratic whose roots are a^2 and b^2.
x^2 + ___x + ___

LiIIiam0216 Mar 27, 2024

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