Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
There are 700 books in Library Collections.
Step-by-step explanation:
Given:
Number of historical books = 70
The equation used to find the totals number of books in library collection.

where b⇒ Total number of books in library collections.
We need to find the Total number of books in library collections.
Solution:

Now by solving the above equation we get;
First we will multiply both side by 10 we get;

Hence there are 700 books in Library Collections.
Answer:
To find the radius, divide the diameter by 2;
V={π(r^2)h}/3
={3.14(4^2)*9 cm^3}/3
=3.14*16*3 cm^3
=150.72 cm^3
Answer:
98
Step-by-step explanation:
Step 1: Define
2(x + y)²
x = 3
y = 4
Step 2: Substitute and Evaluate
2(3 + 4)²
2(7)²
2(49)
98