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
Answer:
Step-by-step explanation:
The given fraction is:
We need to solve it.
The LCM of 168 and 180 is 2520.
So,
So, the required answer is equal to .
Answer:
33
Step-by-step explanation:
rearrange and combine like terms
(3x - 9) + x + (x + 28) = 184
3x - 9 + x + x + 28 = 184
3x + x + x + 28 - 9 = 184
3x + x + x = 184 + 9 - 28
5x = 165
x = 33
Answer:
x=10/3
Step-by-step explanation:
Vertical angles are congruent and therefore are equal. Just set up an equation where the two angle values are equal to one another and solve with basic algebra.
Answer:
Option C)
Step-by-step explanation:
We are given the following in the question:
"-7 and a number 5 units to the right of -7"
The nubmer 5 units to the right of -7 will be:
The number line shows the two marked points.
As observed from the number line, we can write the inequality:
Thus, the correct option is
Option C)
