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pantera1 [17]
2 years ago
6

One card is selected from a deck of cards. Find the probability of selecting a black card or a king. ​

Mathematics
1 answer:
LiRa [457]2 years ago
8 0

Answer:

30/52

Step-by-step explanation:

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A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
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Answer:

16.51

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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Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

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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