Answer:
Step-by-step explanation:
convert mixed fractions to improper fractions
rule=a b/c=(ac+b)/c
(1 1/3)/(1 3/4)
(4/3)/(7/4)
rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)
(4/3)(4/7) then you can multiply the numerators and denominators
16/21
Step-by-step explanation:
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8:40 is the next time all three bells will ring together
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