Answer:
72
Step-by-step explanation:
156 divided by 13 times 6.
Answer:
Step-by-step explanation:
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(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where
then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,
(b) The velocity after 3 seconds is
(c) The particle is at rest when its velocity is zero:
(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:
In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,
By definition of absolute value, we have
In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as
and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to
Answer: x = 25
Step-by-step explanation:
If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:
(x+15) = (3x-35)
To find 'x', we just need to solve the above equation.
(x+15) = (3x-35)
x+15 = 3x-35
x-3x = -35-15
-2x = -50
x = 25.
Therefore, 'x' is 25 degrees.
Answer:
csc(θ) = 1.1662
cos(θ) = 0.5145
Step-by-step explanation:
I attach the image of your question in the picture below
We know the values of the adjacent and opposite cathetus
tan(θ) = Opposite / Adjacent
tan(θ) = 5/3 = 1.666
θ = tan^-1 (5/3)
θ = 59.0362 °
Now that we have the angle, we can easily find the value of the expressions needed
csc(θ) = 1 / sin(θ) = 1/ (0.85749) = 1.1662
cos(θ) = 0.5145