Answer:
Group by buckets and use that information to make your histogram.
Step-by-step explanation:
When you make a histogram you need to group elements into buckets, and out of those buckets make your histograms. You could for example take the mean or the median of groups and out of that information make the histogram. That is your decision.
For example that you have
JM 85
JM 73
so the mean between 85 and 73 is 79 , so in your histogram the height of JM would be 79.
To summarize, you group by buckets and use that information to make your histogram.
First, solve 7 times square root of 5.
7 x 2.236 = 15.652
Now find the solution above that results in 15.65.
We can quickly eliminate the top 2 as they will result in very large numbers.
The bottom problem is quick to check - simplifies to (7 + 5)/5 = 2.4. No
It looks like the next to last answer is our best bet.
Figure the square root of 196 (14) and multiply by square root of 5 (2.236). Giving us 31.304.
Divide the result by 2. And that gives us 15.652.
If you knew the square root of 196 was 14, it was helpful to find this quickly because 14/2 = 7 and then the other square root was the 5 from the problem.
Using the quadratic formula, we solve for
.

Taking square roots on both sides, we end up with

Compute the square roots of -171 + 140i.


By de Moivre's theorem,

and the other root is its negative, -5 - 14i. We use the fact that (140, 171, 221) is a Pythagorean triple to quickly find

as well as the fact that


(whose signs are positive because of the domain of
).
This leaves us with

Compute the square roots of 5 + 12i.


By de Moivre,

and its negative, -3 - 2i. We use similar reasoning as before:




Lastly, compute the roots of -2i.



as well as -1 + i.
So our simplified solutions to the quartic are

The area of a kite:
A = d1 * d2 / 2
d1 = BD = 8 units
48 = 8 * AC / 2
48 * 2 = 8 AC
96 = 8 AC
AC = 96 : 8 = 12
Answer: D ) 12 units