Answer:

Step-by-step explanation:
<u>Sinusoid</u>
The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.
The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are
* It completes a cycle in
radians
* It has a maximum of 1 and a minimum of -1
* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle
* The equation is

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2
We can also see the function completes 3 cycles in
radians or 6 cycles in
radians. Or, equivalently



Thus, the function can be expressed as

Answer:
Corresponding
Equal, Congruent
Step-by-step explanation:
Answer:
8.4 km/hr.
Step-by-step explanation:
We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.
Let us find the time taken by Julia to cover a distance of 18 km.



We are also told that she rides another 24 km with a constant speed of 12 km/hr.
Let us find the time taken by Julia to cover a distance of 24 km.



Since we know that
.
Upon substituting our values in above formula we will get,



Therefore, Julia's average speed is 8.4 km per hour.
Answer:
She completed 7.5 3/8 miles of the race.
Step-by-step explanation:
This can be solved with multiplication.
10 * 3/4 = 7.5
1/2 * 3/4 = 1 * 3/2 * 4 = 3/8
Answer:
8 hours
Step-by-step explanation:
if 189 miles= 7 hours. what about 216 miles.you cross multiply