Atroshus

13 Questions
16 Answers

+1

1645

3

+98

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 2 ene 2020

0

853

8

+98

Complex numbers

Determine the complex number z satisfying the equation .

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Atroshus 1 ene 2020

0

934

5

+98

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 31 dic 2019

+1

725

2

+98

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 29 dic 2019

+1

1251

1

+98

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 lee mas ..

Atroshus 8 nov 2017

+2

1442

3

+98

factorials

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

Atroshus 4 sept 2017

+1

1935

3

+98

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 28 ago 2017

+1

2242

2

+98

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 28 ago 2017

+1

1032

1

+98

qweschun

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

Atroshus 28 ago 2017

+1

1754

1

+98

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 28 ago 2017

+1

1137

0

+98

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 28 ago 2017

+1

5832

1

+98

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 lee mas ..

Atroshus 28 ago 2017

+2

2941

1

+98

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 17 ago 2017