CPhill

 0.0035  =

3.5 x 10^-3

Assuming the "73"  is in degrees, we have

cos(73)  = x / 6    multiply both sides by 6

6 * cos (73)   = x    = about 1.754

 (1, 4) and (2, 2)

We need to find the slope of the line between these two points.....this is given by :

[2-4] / [2-1]  = -2/1   = -2

So.......using either point and the slope, we can write the equation by using the point-slope form

y - 4  =  -2 ( x - 1)   simplify

y - 4  = -2x + 2      add 4 to both sides

y = -2x + 6     .... and this is in slope-intercept form

I assume you want to know how much is left after making the sash......so we have

[6 + 2/3] - [1 + 2/5]  =

[20/3]  - [ 7/5]               get a common denominator between 5 and 3  =  15

[100/15]   -  [ 21/15]   =

79/15   =

5 + 4/15     meters left

Circumference  =  

2 * pi  * r            .....    where r is the radius of the circle

If we have two points (x₁, y₁)  and (x₂, y₂)....the distance between them is given by :

√ [(x₂ - x₁)² + (y₂ - y₁)² ]

Example :   (0,0)  and (3,4)  =

√ [ (3 - 0)² + (4 - 0)² ] =

√ [3² + 4²]  =

√ [9 + 16] =

√25  =

5

Total square feet  * amount per square foot  =

90 * 7  * 1/2  = 

45 * 7  =

315 fluid ounces

A hexagon is a two-dimensional object.....it doesn't have a "volume".....I think you might mean "area"......if so.....the area  is composed of six congruent triangles, each with a base of s [where s is the side length] and a height of   √3s /2 .......so, the area = 

  6*(1/2)* s * √3s /2  =

[3√3] s²  / 2       where s is the side length

By the Angle Bisector Theorem :

DB/CD = AB/AC

2.7 /CD  = 6.2/5.8   rearrange to solve for CD

CD = (2.7)(5.8)/ 6.2  ≈  2.5