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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

thank you

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

.50^2=.40^2 + .30^2

.25 = .25

Arrange them in numerical order.  The median is then the middle one.

Try and use the Pythagorean Theorum. a^2+b^2=c^2

8/12 reduced to lowest form is 2/3, because 12 is the 3rd multiple 4(3*4=12) and 8 is the 2nd multiple of 4(2*4=8). I hope that helps.

It depends on the question but trigonometry is often used for this.  :)

Hi guest,

You have shown that the area will be 30 if the legs are 12 and 5 but the legs do not have to be 12 and 5.

You have not shown that the area will always be 30.

How to get exact surface of triangle if i only have hypotenuse and legs.

c=13

a+b=17 

I tryed to do it by the system but it is not correct and it can't get correct...

This is a REALLY neat question.  I do not remember seeing one like it before.

13 is the length of the hypotenuse.

a and b are the legs.

so using pythagoras's theorem we can say that

\(a^2+b^2=13^2\\ a^2+b^2=169 \qquad (1)\\~\\ \mbox{We also know that }\\ a+b=17\\ \mbox{Squaring both sides we get}\\ a^2+b^2+2ab=289\qquad (2)\\~\\ \mbox{Solve equation 1 and 2 simultaneously}\\ (2)-(1)\\ 2ab=289-169\\ 2ab=120\\ ab=60\\ \frac{1}{2}ab=30\\ \mbox{This is the formula for the area of the triangle so the area is }30units^2 \)

OK.....wat is your question regarding this equation?

9 + 4/44  =  9  1/11

a=12  b=5    c =13       area = 1/2 b x a  =  30 sq units

The exterior angle of a triangle is equal to the sum of  the opposite internal angles.

how much is cos 1 is it 0 or 1

It depends on the units of the 1. 

cos(1degree) = 0.99.. as listed by Guest above.

cos(1 radian) = 0.54.. 

A 3 kg watermelon stretches a very light ideal spring 0.66 m from it's equilibrium position. What is the force constant (spring constant) of the spring?

45 N/m

19.8 N/m

4.5 N/m

1.98 N/m

Can somebody please explain me how to get the third row in the first answer to this question...how did we get from x^3-x^2>4→ (x-2) (x^2+x+2) 

I didn't learn that in school but I would like to know that!!

Well, it hasn't been proven or disproven yet. It is still an outstanding conjecture.