Answer:

Step-by-step explanation:
Given: In a parallelogram ABCD, diagonals intersect at O and ar(ABCD) is
.
We need to find the area of triangle AOB.
We know that each diagonal divide the parallelogram in two equal parts and diagonals bisect each other.
It means both diagonals divide the parallelogram in 4 equal parts.



Hence, the values of ar(AOB) is
.
The result would be 72... 12
x6
----
72 (carry the one) Unless your figuring out if its positive or negative. (positive)
Have a Brainly Day!
Answer:
D. Infinitely many solutions
Step-by-step explanation:
The equation simplifies to ...
2h -16 -h = h -16
h -16 = h -16 . . . . . . a "tautology", true for all values of h.
There are infinitely many solutions.
Answer:
The value of ROE that will be exceeded by 78% of the firms is -1.77%.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The mean ROE for the firms studied was 14.93% and the standard deviation was 21.74%. This means that 
What value of ROE will be exceeded by 78% of the firms?
This is the value of X when Z has a pvalue of 1-0.78 = 0.22.
This is 
So:




The value of ROE that will be exceeded by 78% of the firms is -1.77%.
Hi there!
Let me help you out a bit here. What we need to do is subtract the area of the smaller square from the area of the larger square. To do this, we first need to find the length of one of the larger sides. Since the outer polygon is a square, we can use the 45-45-90 relationship to determine that each side of the larger square is equal to

. Next, we can do the same thing for the smaller square, determining that one outer side of the smaller square is equal to

. To figure out the area of both squares, we need to square each of the outer lengths. This gives us 162 for the bigger square and 32 for the smaller square. Now, all we need to do is subtract 32 from 162. This gives us a value of 130cm^2 for the shaded area.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!