If you need to find out how many bottles of water Dave has then at the most it would be 9 bottles
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:
First find the circumference of both wheels
C = pi d
Large wheel = 3.14 * 60
= 188.4
Small wheel = 3.14 * 18
= 56.52
Divide them both with divide 600 by the circumference
Large wheel = 600/188.4 = 3.18 or <em>3 rotations</em>
Small wheel = 600/56.52 = 10.61 or <em>11 rotations</em>
<em>b. 2 large wheels. This is because you can cover more distance with large wheels that small wheels. Large wheels are also worth the energy.</em>
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<u><em>Hope this helps</em></u>
3(x + 5) = -4x + 8
3x + 15 = -4x + 8
3x + 4x = 8 - 15
7x = - 7
x = -7/7
x = -1
this equation has exactly 1 solution
Answer:
Segment LL' and segment OO' are congruent (same length) and parallel (same inclination).
hope this helps! :)
Explanation:
The transformation described by the rule (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.
That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.
Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.
