A set has 62 proper subsets how many elements has it for?
1 answer:
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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:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
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:
Thus the shorter diagonal will be 16.51 feet in measure.
the answer to the first question would be
the answer to the second question will be
Answer:
Step-by-step explanation:
Since, by the SAS formula of finding the area of triangle,
The area of triangle,
Where, and
are adjacent sides and
is the included angle of these sides
Here,
And,
Thus, the area of the triangle ABC,
Therefore, Third Option is correct.
