First of all, to find out the amount paid for hours in total,
$48-$18=$30
to find how many hours,
$30÷$5=6hrs
Answer:
1/25
Step-by-step explanation:
We can see that in this pattern, the denominator and the numerator of the next fraction cancel out; they're the same.
(1/2) x (2/3) x (3/4) = 1/4 (do you see it?)
The only things that do not cancel out are the numerator of the first fraction and the denominator of the last. So, in the end, the answer will be 1/25.
Hope this helps!
Answer:
Step-by-step explanation:
x(3x+2)=16
3x²+2x-16=0
3x²+8x-6x-16=0
x(3x+8)-2(3x+8)=0
(3x+8)(x-2)=0
either 3x+8=0
x=-8/3(rejected as width can't be negative)
x-2=0
x=2
so width=2
length=3×2+2=6+2=8
Answer: 
=========================================================
Work Shown:
Apply the following trig identity

Now let's rationalize the denominator

----------------------
As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how

which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as
but it's the same as above.