<span>The flag's dimensions are 40 inches by 55 inches.
Reasoning<span>:
The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.
Simplifying, we get
2y + 22/8 y = 190.
Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.
Combining terms: 4 3/4 y = 190.
Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.
Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.
Dividing by a fraction means multiplying by its reciprocal:
y = 190 × 4/19 = 760/19 = 40.
Since y = 40, calculate 11/8 y = 11/8 × 40 = 440/8 = 55.</span></span>
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.
Then we will assign a variable to represent the value and also shift the repeating segment to the left.
Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;


you can verify that using your calculator.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
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
<span><span>Response
26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.
Clarification
An integer comprises whole numbers only. It does not include fractions.
253/2=25+3/2=25+1 1/2=26 1/2
</span><span>26 1/2 does not correspond to an integer but can be rounded to 27, which is an integer.
</span></span>