This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]
We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
---
Hope this helps!
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work
Sheri's commute to work

John's commute to work in miles per hour = 
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
You will need 3.333.... cups of rice to make 10 servings of casserole.
<u><em>Explanation</em></u>
The recipe which makes 6 servings of casserole, needs 2 cups of rice.
Suppose, you need
cups of rice for making 10 servings of casserole.
Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

So, you will need 3.333.... cups of rice to make 10 servings of casserole.
The formula for determining the distance of the focus from the vertex is as follows,
f = x² / 4a
where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,
f = (30/2 mm)² / (4)(5 mm)
f = 11.25 mm
<em>ANSWER: 11.25 mm</em>