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## #1 2016-06-30 10:18:53

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

### Twisters, #6 Mathematics

1. Solve for x in

2. A circle is inscribed in a equilateral triangle, touching all 3 sides. Then another equilateral triangle is inscribed in the aforementioned circle. What is the ratio of the large triangle to the small triangle?

3. $2/3 + \frac{3}{4}^{-1}+ \frac{4}{5}^{-2}+\frac{5}{6}^{-3}.... =x.$

4. if x^2017 = 2019, find the value of this expression.

5. x + 10 / x+2 = (x-3/2x+5)^2, find x.

6. cos(1) + cos(2) + cos(3) + cos(4) + cos(5) + cos(6) ..... up to cos(90) - (sin(1) + sin(2) + sin(3)..... up to sin(90)) = x. Find x.

The integral of hope is reality.

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## #2 2016-06-30 10:45:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Twisters, #6 Mathematics

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2016-06-30 10:48:09

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

### Re: Twisters, #6 Mathematics

How many positive integers less than 500 are the product of exactly two distinct (meaning different) primes, each of which is greater than 10? should be no 7.

The integral of hope is reality.

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## #4 2016-06-30 12:30:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Twisters, #6 Mathematics

Hi;

Please clarify for 5. Do you mean

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #5 2016-06-30 14:48:16

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

### Re: Twisters, #6 Mathematics

bobbym wrote:

Hi;

Please clarify for 5. Do you mean

Yes bobbym

The integral of hope is reality.

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## #6 2016-06-30 16:43:10

Member
Registered: 2016-04-16
Posts: 1,086

### Re: Twisters, #6 Mathematics

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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## #7 2016-06-30 16:47:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Twisters, #6 Mathematics

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #8 2016-06-30 18:34:48

Member
Registered: 2016-04-16
Posts: 1,086

### Re: Twisters, #6 Mathematics

Last edited by thickhead (2016-07-02 20:57:17)

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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## #9 2016-07-01 09:20:43

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

### Re: Twisters, #6 Mathematics

Good job all.

The integral of hope is reality.

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## #10 2016-07-01 17:11:53

Member
Registered: 2016-04-16
Posts: 1,086

### Re: Twisters, #6 Mathematics

Hi mathegocart,

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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## #11 2016-07-07 15:00:13

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

Hi mathegocart,