Answer:
The rotation angle measures 2.11 °
Step-by-step explanation:
Stated as follows:
The radius of the circular path = r = 18 feet
The distance rolled by the wheel = l = 38 feet
Let us denote the angle of rotation as Ф
Now, according to the problem:
∵ the length of an arc at the center corresponds to an angle Ф
Thus,
distance rolled by the wheel = π × radius × 
As 180° represents π radians
And π approximates to 3.14
Thus, distance rolled by the wheel = 180 °× radius ×
That is l = r × Ф
So, Ф = 
Consequently, Ф = 
Therefore, Ф = 2.11 °
Thus, the rotation angle is Ф = 2.11 °
Hence, the rotation angle is 2.11 ° Answer
Answer:
No solution
Step-by-step explanation:
Given: 
and 
Handle each inequality separately.
Utilizing the subtraction property of inequalities
and
Utilizing the addition property of inequalities
Thus, the solution to the combined inequality is the overlap of both solutions.
Refer to the attached image for the number line representation.
No solution
Response: 7
Detailed explanation:
A Venn diagram can help visualize this problem.
There are a total of 5 students interested in both French and Latin.
Out of these, 3 students also want to learn Spanish, meaning only 2 students want solely French and Latin.
Moreover, there are 5 students who wish to study only Latin.
This results in 1 student wanting both Latin and Spanish, calculated by 11 - 5 - 3 - 2.
There are 8 students who desire only Spanish, and 4 students who want both Spanish and French.
In the same manner, those wishing to study only French amount to 16 - 4 - 3 - 2 = 7.
The correct option is the third one. In this situation, x+1 being inside "parentheses" indicates that the 1 shifts the graph horizontally, which eliminates option one. Although it states x+1, graphically this implies the opposite shift. Typically, one would expect to move right by one, but due to the "opposite" sign, it actually translates to a leftward movement by one. (Mathematics can be perplexing; I'm not sure why)
