Answer:
![55.555...\ (\%)](https://tex.z-dn.net/?f=55.555...%5C%20%28%5C%25%29)
Step-by-step explanation:
What percent of values is between the first and third quartiles
![\text{Quartile 1} =\frac{75+100}{2} =87.5](https://tex.z-dn.net/?f=%5Ctext%7BQuartile%201%7D%20%3D%5Cfrac%7B75%2B100%7D%7B2%7D%20%3D87.5)
![\text{Quartile 2} =\frac{200+225}{2} =212.5](https://tex.z-dn.net/?f=%5Ctext%7BQuartile%202%7D%20%3D%5Cfrac%7B200%2B225%7D%7B2%7D%20%3D212.5)
50 < 75 < 87.5 < 100 < 125 < 150 < 175 < 200 < 212.5 < 225 < 250
Then we have 5 values between the first and third quartiles which are :
100, 125, 150, 175, 200
Therefore,
The percent of values between the first and third quartiles is :
![\frac{5}{9} \times 100=55.555...](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%20%5Ctimes%20100%3D55.555...)
Answer:
Step-by-step explanation:
D is the answer............
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:
![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](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%2B%20b%5E%7B2%7D%20-2ab%20cos%28%5Cgamma%29%5C%5C%5C%5Cc%5E%7B2%7D%3D18%5E%7B2%7D%2B26%5E%7B2%7D-2%2818%29%2826%29cos%2839%29%5C%5C%5C%5C%20c%5E%7B2%7D%3D272.59%5C%5C%5C%5C%20c%3D16.51)
Thus the shorter diagonal will be 16.51 feet in measure.
Answer:
answer is B
Step-by-step explanation:
all work is pictured and shown