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To find the area of the deck, we need to calculate the area of triangle and rectangles
Lets find the area of triangle A
Area of triangle =
base = 9 and height =10
So area of triangle A = = 45
Area of rectangle = Base * height
Base of rectangle B = 9ft
Height of rectangle B = 12ft
Area of rectangle B = 9*12 = 108 square feet
Base of rectangle C = 24ft
Height of rectangle C = 22ft
Area of rectangle C = 24 * 22 =528 square feet
Area of the deck = Area of A + area of B + area of C
= 45 + 108 + 528
= 681 square feet
Answer:
Step-by-step explanation:
We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.
We know that standard form of cosine function is , where,
|A| = Amplitude,
Period = ,
C = Phase shift,
D = Vertical shift.
Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, .
Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by , therefore, we can write
, therefore,
.
We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero .
Therefore, our function required function would be .