-2 <= 2x - 4 < 4
-2 + 4 <= 2x < 4 + 4
2 <= 2x < 8
2/2 <= x < 8/2
1 <= x < 4
We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556
Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
5.50 x 3.87 equals 21.285. 21.285 rounded to the nearest cent is $21 dollars and 3 cents.
