Atroshus

13 Questions
16 Answers

+1

1665

3

+100

halp

Four distinct integers a, b, c and d have the property that when added in pairs, the sums 16, 19, 20, 21, 22, and 25 are obtained. What are the four integers in increasing order? (place a comma and then a space between each integer)

Atroshus Jan 2, 2020

0

874

8

+100

Complex numbers

Determine the complex number z satisfying the equation .

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Atroshus Jan 1, 2020

0

953

5

+100

halp

An ellipse whose axes are parallel to the coordinate axes is tangent to the x-axis at (4,0) and tangent to the y-axis at (0,1) Find the distance between the foci of the ellipse.

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Atroshus Dec 31, 2019

+1

751

2

+100

qweschun

Let F1 and F2 be the foci of the ellipse kx^2+y^2=1 where k>1 is a constant. Suppose that there is a circle which passes through F1 and F2 and which lies tangent to the ellipse at two points on the x axis. Compute k

Atroshus Dec 29, 2019

+1

1277

1

+100

qweschun

A bottle of vanilla contains tablespoons when completely full. A recipe calls for tablespoons of vanilla. How many tablespoons will be left in the bottle after making a triple batch (which requires three times as much of each ingredient read more ..

Atroshus Nov 8, 2017

+2

1458

3

+100

factorials

Find the last two digits of the following sum:
5! + 10! + 15! +... + 100!

Atroshus Sep 4, 2017

+1

1956

3

+100

qweschun

The diagonal lengths of a rhombus are 24 units and 10 units. What is the area of the rhombus, in square units?

Gh0sty15 ●●●

Atroshus Aug 28, 2017

+1

2252

2

+100

qweschun

The convex pentagon $ABCDE$ has $\angle A = \angle B = 120^\circ$, $EA = AB = BC = 2$ and $CD = DE = 4$. What is the area of $ABCDE$?

Atroshus Aug 28, 2017

+1

1051

1

+100

qweschun

For what value of a is there a right triangle with sides a+1 ,6a , and 6a+1?

Atroshus Aug 28, 2017

+1

1762

1

+100

qweschun

Sides AH and CD of regular octagon ABCDEFGH are extended to meet at point P. What is the degree measure of angle P ?

Atroshus Aug 28, 2017

+1

1166

0

+100

In regular pentagon , is the midpoint of segment . What is the measure of angle in degrees?

In regular pentagon , is the midpoint of segment . What is the measure of angle in degrees?

Atroshus Aug 28, 2017

+3

5842

1

+100

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.
Asymptote code below
[asy]
unitsize(1.5 cm);
pair[] A;
for(int i = 1; i <= 10; ++i) {
A[i] = dir(90 - 360/10*i); <#> draw(dir(90 read more ..

Atroshus Aug 28, 2017

+2

2951

1

+100

How many of the 1000 smallest positive integers are congruent to 1 modulo 9?

How many of the 1000 smallest positive integers are congruent to 1 modulo 9?

Atroshus Aug 17, 2017