In case the user wants to see workings. These problems can easily be solved on a calculator, but can we work them out in our heads? ;)
9.34-3.029
=9.340-3.029
=9.340-3.000-0.029
=6.340-0.029
=6.311
Answer:
75 dollars
Step-by-step explanation:
You know that 500=100%, so we can set up the following
15%(500/100%) = 75
so the discount 75 dollars
Answer:
5x + 2
Step-by-step explanation:
Since logarithm has the following property:
If
and
,
Then
and 
Therefore,

I’m pretty sure it’s just 1/8
Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2