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: (C) Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?
Step-by-step explanation: One clue is "of" in the story and which matches "times" in the equation sentence. The question is is about multiplication.
Words such as "more" "and" & "total" are usually clues that the question is about addition. "Give" "take" "difference" & "have/are left" are clues that there is subtraction in the process.
Every inch of length of his model is representative of 25 inches in the actual car. So if the the actual car was 25 inches long, the model would be 1 inch long. The means the ratio of length is 0.04. You take that number, and multiply it by length of the actual car. 0.04 x 193.75 inches = 7.75 inches. The length of the model car is 7.75 inches.
1. 100 * 20
2. 7 hours
3. 141 kilometers
4. 8.5 hours
5. 55.75 mi/h
