Decimal: 3.5
350 divided by 100 = 3.5
Percentage: 350%
Move the decimal 2 times to the right
3.5 -> 350
Add a percent sign
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan²x = sec²x - 1
Consider left side
sec²x + tan²x
= sec²x + sec²x - 1
= 2sec²x - 1
= right side , thus verified
Answer:
Area of the garden:

Explanation:
Given the below parameters;
Length of the rectangle(l) = 23 ft
Width of the rectangle(w) = 14 ft
Value of pi = 3.14
Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.
The radius(r) of the semicircle will now be;

Let's now go ahead and determine the area of the semicircle using the below formula;

Let's also determine the area of the rectangle;

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

Therefore, the area of the garden is 398.93 ft^2
Answer:
538 books should be tested.
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 many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?
n books should be tested.
n is found when 
We have that 






Rounding up
538 books should be tested.