Given:

To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator

Step 2: Simplify the denominator

Step 3: Using step 1 and step 2

Step 4: Using fraction rule:


Cancel the common factor r and t², we get

Cancel the common factors 16 and 3 on both numerator and denominator.



The simplified fraction is
.
Answer: The distance between Fort Collins and Greeley is 35.84 km.
Step-by-step explanation:
Since we have given that
Distance travelled due south of Fort Collins = 18 km
Distance traveled due west of Greeley = 31 km
So, using the pythagorous theorem, we will find the distance between Fort Collins and Greeley.
So, it becomes,

So, the distance between Fort Collins and Greeley is 35.84 km.
Answer:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14
3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14
3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Answer:
A = 365
B = 700
C = 76.5
Step-by-step explanation:
Answer:
Area= 28.274 
Perimeter= 21.425 cm
Step-by-step explanation:
This is a quadrant.
Formula for area of a quadrant= 
Area= 
Area= 28.274 
Formula for perimeter of a quadrant= 
r=6cm
Perimeter= 
Perimeter= 21.425 cm