∠DCE = ∠BAE because of alternate interior ∠s
∠CDE = ∠ABE because of alternate interior ∠s
Triangle DCE is congruent to Triangle BAE because of ASA
AE = CE because of CPCTC
BE = DE because of CPCTC
Answer:
tanx + cotx = 
Step-by-step explanation:
<u><em>Explanation</em></u>
Take R.H.S = 
= 
= 
= 
= tanx + cotx
tanx + cotx = 
Answer:
The area of the rectangle is 0.0875 sq ft.
Step-by-step explanation:
Given that,
The length of the rectangle, L = 0.35 feet
The breadth of the rectangle, B = 1/4 feet
We need to find the area of the rectangle. The formula for the area of a rectangle is given by :
A = LB
Put all the values,

So, the area of the rectangle is 0.0875 sq feet.
Answer:
We need a sample size of at least 719
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when
. So






Rouding up
We need a sample size of at least 719
Val covers greater distance because 2 3/5 x 4 = 10 2/5. Bill only ran 10 miles so Val covered 2/5 more miles than him.