Let's break it up into 2 figures, the rectangle on the right with dimensions 3 x 10, and the rectangle on the left with dimensions 8 x 6.
A = 3 x 10
A = 8 x 6
A = 30
A = 48
The sum of these two, 78, will represent the area of the total figure.
Answer:
Period of the given harmonic function is 1.
Step-by-step explanation:
In any harmonic function which is in the form of y = asin(bx+c) + d , we know
Period of this function will be represented as P = 
Therefore for the given function d = 5 sin (2πt) we know the value of B is 2π.
So the period will be P = 
The answer is period = 1
Answer:

Step-by-step explanation:
The given expression is

The numerator is a quadratic trinomial and the denominator is different of two squares when 6 is factored.
We factor both the numerator and the denominator to obtain;

Cancel out the common factors to get:

This is the simplest form since, we cannot simplify this further.
Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
= (1/2-3/4)×(-5/6+13/8)
= -1/4×19/24
= -19/96