Answer:
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
where:
A= amplitude
= angular frequency
x= time
= horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by 
, so in this case:
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
Answer:
c
Step-by-step explanation:
c
Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
In macroeconomics, a variety of economy-wide phenomena is thoroughly examined such as, inflation, price levels, rate of growth, national income, gross domestic product and changes in unemployment.( It focuses on trends in the economy and how the economy moves as a whole)
Answer:
A. x < -4 or x >= 3
Step-by-step explanation:
A solid dot at 3, and shading to the right, means all numbers greater than or equal to 3.
An open dot at -4 and shading to the left means all numbers less than -4.
A number cannot be both 3 or greater AND less than 4, so you must use the word "or" between the the two parts of the answer.
Answer: A. x < -4 or x >= 3
