Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.
Answer:
Yes it can be simplified.
Answer:
When -3v = -18 is solved, the result is:
21v
Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.
Now we have to find what is total number of books in his collection.
Let number of books in Nicholas collection = x
then number of fantasy and science fiction books = 46% of x = 0.46x
We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:
0.46x=115
now we can solve this equation to find the answer.
![x=\frac{115}{0.46}](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B115%7D%7B0.46%7D%20)
x= 250
Hence final answer is:
Nicholas has 250 books in his collection.
Answer:
9 cookies per dollar
Step-by-step explanation:
This is a fraction equal to
36 cookies ÷ 4 dollars
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
36 cookies ÷ 4
--------------------------
4 dollars ÷ 4
=
9 cookies
---------------
1 dollar
=
9 cookies
-----------------
dollar
= 9 cookies per dollar