Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that
Proof:
Let x
Then 
and 
When 
then 
but 
Therefore, 
but 
Hence, it is true.
Conversely , Let 
but 
Then 
and
When 
then
Therefor,
Hence, the statement is true.
If you wanted to write 4/10 as a decimal it would be .4
Let
x,y, and z the long sides of the triangle
we know that
x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4
substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40
Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²
the answer is
26558.21 ft²
I believe it is D, stratified random sampling.
Hope this helps!!
Answer:
Step-by-step explanation:
Answer:
48.49 feet
Step-by-step explanation:
The diagrammatic sketch of the details given in the question was attached in the picture below.
From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:
where;
a = 110
b = 104
Cos C = 26°
Then;
