So hmm notice the picture below
the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges
now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both
Answer:
$18,087.23
Step-by-step explanation:
The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:
FV=PV*(1+r/2)^n*2
FV is the worth of the loan in 7 years which is unknown
PV is the actual amount of loan which is $8,000
r is the rate of interest of 12%
n is the number of years of the loan which is 7 years
the 2 is to show that interest is computed twice a year
FV=8000*(1+12%/2)^7*2
FV=8000*(1+6%)^14
FV=8000*1.06^14=$18,087.23
Answer:
1.33 liters
Step-by-step explanation:
Volume of any shape is given by cross sectional area multiplied by height. Therefore, V=Ah
Where A is area and h is height
Since their cross sections are the same, then volume depends on height.
If 12cm equals 2 liters
8cm equals x
X=(2*8)/12=1.3333333333333 liters
Approximayely, the smaller pail has capacity of 1.33 liters
Answer:
Median.
Step-by-step explanation:
We have been given that in 2004, the mean net worth of families in a certain region was $470.2 thousand and the median net worth was $92.3 thousand.
We know that mean and median of a symmetric data set is equal.
We also know that when mean of a data set is greater than median, then the data set has a very large valued outlier.
Since mean net wroth of families is approximately 5 times more than median net wroth of families, this means that some of the families has very high net worth as outliers.
Since the net worth of families has very large outliers, therefore, I would prefer median as the appropriate measure of center as median is not affected by outliers.
4 sqrt(400) / 4 sqrt(5)
sqrt(400) =20
4 *20
--------
4 sqrt(5)
the 4's on the top and bottom cancel
20
--------
sqrt(5)
I was taught never to leave a sqrt in the denominator
so you need to multiply by sqrt (5) in the numerator and the denominator
20* sqrt(5)
--------
sqrt(5)* sqrt(5)
20* sqrt(5)
--------
5
= 4 sqrt(5)
