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:7
Step-by-step explanation:
This can be solved by Venn-diagram
Given there are total 5 students who want french and Latin
also 3 among them want Spanish,french & Latin
i.e. only 2 students wants both french and Latin only.
Also Student who want only Latin is 5
Thus Student who wants Latin and Spanish both only is 11-5-3-2=1
Students who want only Spanish is 8 Thus students who wants Spanish and French is 4
Similarly Students who wants Only French is 16-4-3-2=7
The difference between the 2 times would be .055 seconds...
The problem ask on which if the following is the value of M5 and M7 if transversal EF cuts parallel lines AB and CD as show in your diagram and the best answer would be letter D. m5 = 55.1 adn m7 =124.9. I hope you are satisfied with my answer and feel free to ask for more
Profit=revenue-cost
pA(m,h)=45h-1200m
pB(m,h)=60h-1800m
Profit is the same when pA=pB so
60h-1800m=45h-1200m
15h=600m
h=40m
So 40 haircuts per month at either location results in the same profit of $600 per month.