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:
rounded, she will earn around $2,757.43 for the two weeks.
Answer:
B
Step-by-step explanation:
The dots are pretty close to each other and are going negatively so there is a correlation ( so C and D can't be right) and the dots are going negative ( so A can't be right) meaning B is right :)
We can find the value of x through a proportion. Since these two triangles are similar, their sides are in proportion.
4 is to 12 as 5 is to x
Remember to say 12, not 8! 8 is only part of the whole side. We can also simplify 4 is to 12 to 1 is to 3.
1/3 = 5/x
Cross multiply
x = 15
Hope this helps!
Answer:
Step-by-step explanation:
I'm sorry that I cannot show you my work as the equation generator does not support dividing polynomials.
