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Angelina_Jolie [31]
3 years ago
13

Integrate cos(2theta)d(theta) from 0 to pi/5

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0
\int\limits^ \frac{ \pi }{4}  _0 {cos2t} \, dt  =  \frac{sin2t}{2} I\limits^ \frac{ \pi }{4} _0   = \\ = \frac{sin( \pi/2) }{2}- \frac{sin (0)}{2}=  \frac{1}{2}
Answer: 1/2
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The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste
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The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

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A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

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Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

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This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

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c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

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