ElectricPavlov

I'm not sure what you re looking for here, but

x^2 +2/3x^2= 1 2/3 x^2      That is all I can do with this......is there more to your question?

Use a ratio to see the logic....

5/16 = x/50   multiply both sides by 50

50(5/16) = x

x=15.62 ~  ~  16

-325-325 = - 650     The calculator can do this!

Tan of one angle is  5/12     =  22.61 degrees

the other angle will be 180 - 90 - 22.61 = 67.38 degrees

    As a check: the OTHER angle has a Tan of 12/5 = 67.38 degrees    Check!

2(-7)+(-13) =  -14 - 13 = -27

Couple of ways to go here:

We know sec = 1/cos

Use calculator to find the angle....then find the cos...then find  1/cos

    Angle is 20.5546 degrees   cos=.93633   1/cos= sec = 1.068

Remember sin^2 + cos^2=1   solve for cos then 1/cos

      1-.3511^2 = cos^2   cos=.93633    then 1/cos = sec = 1.068

THAT is slick....I did not know that.  That is good for all of these types of questions where someone acts like they do not know how to use a calculator yet they can spend 10 minutes entering a goofy question !

sqrt(x^11) = sqrt(x^10* x)= x^5 sqrt(x)

Nice job GJ....I just solved the equation for 'x' as requested...   Obviously x=0 will be 'undefined' with a '0' in the denominator........Which only says the equation is INVALID for x=0 (but that is not what they asked).......I did solve for y too, but did not post it,  YOU did !  

Strong work!

You DO know there is a calculator on this website which will calculate this for you ....right?

it would be less effort to use the calculator than to submit this question......

3.5569 degrees       Silly!