All Questions ⁺⁰237767 Questions

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139

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Help plz

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

Guest Jun 25, 2023

Jun 24, 2023

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79

4

Interesting Problem

Let AB be a diameter of a circle, and let C be a point on the circle such that AC = 8 and BC = 4. The angle bisector of angle ACB intersects the circle at point M. Find CM.
The diagram:
https://artofproblemsolving.com/texer
The read more ..

Guest Jun 24, 2023

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119

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help me

This is some very hard geometry
Triangle XYZ is equilateral. Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ. If the read more ..

Guest Jun 24, 2023

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136

2

help

Aaron, Bert and Carol had some stickers. Bert had 200 more stickers than Aaron. The ratio of the number of stickers Bert had to the number of stickers Carol had was 4:3. After Bert gave 1/8 of his stickers to Aaron, he had 60 fewer stickers than Aaron. read more ..

Guest Jun 24, 2023

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139

1

help plz

If I give my brother 5 dollars, then we will have the same amount of money. If instead he gives me 25 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

Guest Jun 24, 2023

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130

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triangle

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 Jun 24, 2023

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148

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ratios

At a math convention, a poll is taken about cable news. It turns out that 7 out of every 12 people are bored by cable news. If there are 280 people at the convention who are bored by cable news, then how many people at the convention read more ..

Guest Jun 24, 2023

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133

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ratios

A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, and white marbles is 1:2:3:4. If the bag contains 180 marbles, then how many blue marbles are there?

Guest Jun 24, 2023

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134

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triangles

In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to line PR. If PQ = 9, QR = 9, and PR = 9, then compute the length of XY. read more ..

Guest Jun 24, 2023

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100

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real numbers

Real numbers a and b satisfy
a + ab^2 = 250b
a - ab = 240
Enter all possible values of a separated by commas.

Guest Jun 24, 2023

0

139

1

+194

help ASAP

Let a and b be the roots of the equation 2x^2 - 7x + 2 = 0. Find 1/(a-1)+1/(b-1)

HumenBeing Jun 24, 2023

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142

2

HELP PLS

Let z and w be complex numbers such that | z |= 2 and | w |= 5 Find the smallest possible value of | w–z |.

Guest Jun 24, 2023

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101

3

+194

help guys

The polynomial p(x) = x^2+ax+b has distinct roots 2a and 2b. Find a+b.

HumenBeing Jun 24, 2023

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130

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triangle

Help Im bad at geometry
In triangle ABC, let the angle bisectors be BY and CZ. Given AB = 16, AY = 16, and CY = 16, find BC and BZ.

Guest Jun 24, 2023

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138

1

help plz

Catherine rolls a standard 6-sided die six times. If the product of her rolls is then how many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Jun 24, 2023

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126

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triangles

1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.
2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?

Guest Jun 24, 2023

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122

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solve

Solve 3a + 4b = 5a - 6b + 24 - 3a for a in terms of b.

Guest Jun 24, 2023

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141

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triangles

In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

Guest Jun 24, 2023

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126

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system

Im having trouble with this
One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box read more ..

Guest Jun 24, 2023

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120

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i need help

Can anyone help with this?
Let ABCD be a trapezoid with bases AB and CD. Let P be a point on side CD, and let X, Y be the feet of the altitudes from P to AD, BC respectively. Prove that if AD = 5, BC = 7, AB = 6, CD = 12, read more ..

Guest Jun 24, 2023

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129

0

help help

Help Im stuck
For a certain value of k, the system
x + y + 3z = 10
4x + 6y + 9z = 7 read more ..

Guest Jun 24, 2023

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133

0

need help

The two circles below are externally tangent. A common external tangent intersects line PQ at R. Find QR

Guest Jun 24, 2023

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127

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proportion

I need help with this
In physics, Ohm's law says that current through a wire, I, is directly proportional to voltage, V, and inversely proportional to resistance, R:
I = V/R
It's also true that resistance is directly proportional read more ..

Guest Jun 24, 2023

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126

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proportion

If $y=kx^{\frac{1}{4}}$ and $y=3$ at $x=81$, what is the value of $y$ at $x=8$?

Guest Jun 24, 2023

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133

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help mee

this might seem easy but i am easily confused.
Find the number of ways that Magnus can give out 10 identical stickers to 8 of his friends. (Not everyone has to get a sticker.)

Guest Jun 24, 2023

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