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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

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.

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

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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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

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

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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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

bobbym wrote:

Hi;

Please clarify for 5. Do you mean

Yes bobbym

The integral of hope is reality.

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

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

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

*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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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

Good job all.

The integral of hope is reality.

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

Hi mathegocart,

your Q(3) and and Q(4) There is no clarity about the questions and also about our answers whether right or wrong.

**{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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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,884

thickhead wrote:

Hi mathegocart,

your Q(3) and and Q(4) There is no clarity about the questions and also about our answers whether right or wrong.

They are both correct.

The integral of hope is reality.

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