The largest radius for the swimming pool is 15.1 feet
Step-by-step explanation:
Step 1:
Circumference of the circular swimming pool built by Dan = 95 feet
We need to determine the largest radius for the pool.
Step 2 :
Circle's circumference is given by 2πr
Where r represents the radius
This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius
So we have 2πr = 95
=> r =
=> r =
×
where 
=> r = 15.1 feet (rounded off to tenth of a foot)
Step 3 :
The largest radius for the swimming pool is 15.1 feet
Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

Answer:
A. 175 m
B. 20 cm
Step-by-step explanation:

x = 175 m

x = 20 cm
11/12 of 7 is simply their product.

Answer:
The most conservative sample size is 2401.
Step-by-step explanation:
We are given the following in the question:
We are not given any approximation of s]ample proportion, thus,

We have to construct a 95% confidence interval.
Margin of error = 2% = 0.02
Formula for margin of error =


Putting values, we get,

Thus, the most conservative sample size is 2401.