Cosine can be explained in different ways. The best explanation for why cosine start fraction 2 pi over 3 end fraction not-equals cosine start fraction 5 pi over 3 end fraction, is that;
- Cosine is negative in the second quadrant and positive in the fourth quadrant.
<h3>What Cosine is all about</h3>
Note that the sine of any angle in the second quadrant is said to range between 90 and 180 degrees and it is regarded as positive. But, if the cosine and tangent of any angle is said to be in this quadrant, it is regarded as negative.
The cosine function can be said to be positive only in the first and fourth quadrants. And the tangent function is known to be also positive in the first and third quadrants.
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Since a maximum area is desired, the dimensions of the larger, outer rectangle would be equal to 96 ft and 96 ft.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle is calculated by using this formula:
A = LW
<u>Where:</u>
Since the perimeter shouldn't be larger than the available fencing, we have:
384 = 2L + 2W
2W = 384 - 2L
W = 192 - L
Now, the area becomes:
A = L × (192 - L)
A = 192L - L²
By using completing the square to find the roots, we have:
A = 192L - L²
0 = 192L - L² + 96² - 96²
0 = 96² - (L² - 192L + 96²)
0 = 9216 - (L - 96)²
L = 96 ft.
W = 192 - 96
W = 96 ft.
<h3>The dimensions of the smaller holding pens.</h3>
For the width of the smaller holding pens, we have:
Width = 96/3
Width = 31 ft.
However, the length of the smaller holding pens would remain the same as 96 feet.
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Answer:
The binary number for 43 is 101011
Answer:
Explanation:
Mark adds 11 to it, then doubles it and gets an answer of 40.5. What was the original number? 2 ( 8.6 + 11). Evaluating the line above gives 39.2 which is not 40.5 which is required but nevertheless the steps above show how to solve the problem you were given.
How are we supposed to answer this question without the theorems mentioned in the question????
