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:
The polynomial expression
To ascertain the multiplicity of 0, -2, -4, 5.
The multiplicity refers to how many times a root appears in a function.
First, identify the function's roots by setting it to zero.
Thus, the roots are x=0, -2, -4, and 5
To determine the roots' multiplicities:
The factor of x will give a root of x=0 with a multiplicity of 1
likewise, x=-2 with a multiplicity of 3
x=-4 with a multiplicity of 2
and x=5 with a multiplicity of 4.
Answer:
Colin has 8 sheets remaining for his third class.
Step-by-step explanation:
Let's summarize the details:
Total number of sheets of paper =
The number of sheets used in the first class is five less than half of the total number.
We create the equation:
Moreover, for the second class, the number of sheets used is two more than the amount used in the first class.
Therefore, the total sheets remaining for the third class is calculated as: Total sheets - Sheets used in the first class - Sheets used in the second class
Consequently, the final result is:
Colin has 8 sheets remaining for his third class.