Answer:
4035,35
Step-by-step explanation:
I Think this is it!
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:
if your looking for the next in line it would be 56 but i dont really understand the question
Step-by-step explanation:
Answer:
X= 1.5 Y= 2.5
Step-by-step explanation:
Answer:
76454
Step-by-step explanation:
Sequence : 14,56,224, ..14(4^(n-1)
where n=term number.
First term: 14*(4^(1-1)) = 14*(4^0) = 14
Second term: 14*(4^(2-1))=14*4 = 56
Third term: 14*(4^(3-1))=14*16 = 224
...
7th term: 14*(4^(7-1)) = 14*(4^6)
Sum of the first 7 terms
= 14*(4^0+4^1+4^2+4^3+4^4+4^5+4^6)
= 14(4^7-1)/(4-1)
= 14(4^7-1)/3
= 76454
