Answer:
see explanation
Step-by-step explanation:
The area (A) of a regular decagon ( 10 sided ) is calculated as
A = 0.5 × perimeter × apothem
Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus
A = 0.5 × 32.5 × 5 = 81.25 m²
Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.
Answer:
a) 
b) 
Step-by-step explanation:
Polar coordinates are represented as:
, where 'r' is the length (or magnitude) of the line, and '
' is the angle measured from the positive x-axis.
in our case:

to covert the polar to cartesian:


we can plug in our values:


the Cartesian coordinates are:


(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'



the angle can be found by:




to convert radians to degrees:

writing in polar coordinates:

Answer:
Larger for the sample of Canadians
Step-by-step explanation:
The larger the sample size, the smaller the standard deviation (sampling variability) associated with the sample means and vice-versa.
The sample of Canadians is smaller, it is expected that their sampling variability is larger than the sample of Canadians based on the rule that as the sample size increases, the standard deviation of the means decreases; and as the sample size decreases, the standard deviation of the sample means increases
Step-by-step explanation:
Thr triangles are similar if any two sides are proportional.
In this, we cannot see any proportional sides, like
DU should be proportional to UT, it is not.
SU should be equal to UE ,it is not.
So, The triangles are not similar.
Hope it helps :)