All Questions

137

geometry

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

Guest Apr 6, 2023

142

geometry

In square ABCD, M is the midpoint of AB, and N is the midpoint of CD. If the side length of the square is 1, then find the area of the shaded region.

Guest Apr 6, 2023

169

Algebra

Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1
(a) Find all possible values of ab
(b) Find all possible values of a+b
(c) Find all possible values of a and b

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Guest Apr 6, 2023

142

Digits

Need help with a counting question
Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest Apr 6, 2023

150

counting

Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have the same color. How many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical if one can read more ..

Guest Apr 6, 2023

154

Geometry

Plz help with geometry problem
In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the probl read more ..

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Guest Apr 6, 2023

150

Geometry

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

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Guest Apr 6, 2023

139

Help please... :(

A cylinder-shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder-shaped container and then the container is completely filled with water.
What is the approximate read more ..

Guest Apr 6, 2023

141

Geometry

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area read more ..

Guest Apr 6, 2023

158

Probability

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile read more ..

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Guest Apr 6, 2023

141

Geometry

Help with geo!
Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

Guest Apr 6, 2023

141

Sequence

I need help with sequences
Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list? read more ..

Guest Apr 6, 2023

162

Probability

Help I need the answer quick
My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching read more ..

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Guest Apr 6, 2023

137

Counting

When two standard 6-sided dice are rolled, there are 36 possible outcomes for the sum of the two rolls: one sum of 2, two sums of 3, and so on, up to one sum of 12.
Find all possible ways of numbering two read more ..

Guest Apr 6, 2023

158

Geometry(the picture can be seen if you search up the problem)

Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle QTA = 47^\circ$ and $\angle RUA = 65^\circ,$ then find $\angle QXR,$ in degrees.

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Guest Apr 6, 2023

138

Counting

Help plz with counting
Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Apr 6, 2023

166

Algebra due today

For a certain value of k, the system x + y + 3z = 10, 4x + 2y + 5z = 7, kx + z = 3 has no solutions. What is this value of k? (the answer isn't 2,6,2/7. The answer is a WHOLE number)

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Guest Apr 6, 2023

165

Algebra help due Today

For a certain value of k, the system x + y + 3z = 10, 4x + 2y + 5z = 7, kx + z = 3 has no solutions. What is this value of k? (the answer isn't 2,6, or 2/7)

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Guest Apr 6, 2023

164

Algebra help due TODAY!! (3 hours)

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 120 meters per hour when walking across flat ground, and 150 meters per hour when walking downhill. One day, Carissa walks across Boston from read more ..

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Guest Apr 6, 2023

155

Algebra

Need to work with variables
Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

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Guest Apr 6, 2023

Apr 5, 2023

+63

Algebra help

Let x be a real number such that 625^x = 64.
Then 125^x =

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youngwolf Apr 5, 2023

160

+1348

Question on probability

Can anyone help with this?
A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 1, 2, or 3?

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sandwich Apr 5, 2023

172

+63

Help fast please

Find the domain and range of the function f(x) = 2^(2-3x).

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youngwolf Apr 5, 2023

105

+63

Each graph below is the graph of an exponential function of the form ka^x (where a > 0). Match each graph with the correct option.

Each graph below is the graph of an exponential function of the form ka^x (where a > 0). Match each graph with the correct option.
A) read more ..

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youngwolf Apr 5, 2023

155

I need help on this problem (pls)

The complex numbers z and w satisfy that the magnitude of z = the magnitude of w = 1 and zw is not equal to 1
Prove that the following fraction is a real number.
(I also proved before that read more ..

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Guest Apr 5, 2023

All Questions ⁺⁰237784 Questions

geometry

geometry

Algebra

Digits

counting

Geometry

Geometry

Help please... :(

Geometry

Probability

Geometry

Sequence

Probability

Counting

Geometry(the picture can be seen if you search up the problem)

Counting

Algebra due today

Algebra help due Today

Algebra help due TODAY!! (3 hours)

Algebra

Algebra help

Question on probability

Help fast please

Each graph below is the graph of an exponential function of the form ka^x (where a > 0). Match each graph with the correct option.

I need help on this problem (pls)

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