For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
There both types of numbers but a whole number is a number with no exponents or decimals, but decimals are like a broken un half whole number
Making a table helps compare two or more sets of data because you can see how much it has increased or decreased.
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
