We can use the distribution method for both sides:
9 (x+2) = 5 - 2( x - 1 )
9x + 18 = 5 -2x + 2
Move like terms to one side and combine:
9x + 2x = 5+2-18.
11x = -11
x = -1.
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
The computation shows that the difference in depth is 16 feet
<h3>How to calculate the value?</h3>
From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.
Therefore the difference between the depth will be:
= -6 - (-22)
= -6 + 22
= 16
Therefore, the difference in depth is 16 feet
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Answer:
1/9 of the cube
Step-by-step explanation:
You have to didve the numbers