Answer: 6.7 mm
Step-by-step explanation:
The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).
The apothem is the perpendicular distance from the center of the square to the midpoint of its side.
We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).
Area of square = 9(9) = 81
Area of square = 1/2(apothem)(perimeter)
Perimeter = 4(9) = 36
81 = 1/2(apothem)(36)
162 = apothem(36)
apothem = 4.5
Pythagorean theorem: 
Plug the apothem and the given height into the equation:
(x being the slant height)
20.25 + 25 = 
x = 
x ≈ 6.7
Answer:
The Sample size is 1918.89035
Step-by-step explanation:
Consider the provided information.
It is given that 14 out of 105 samples failed.
Therefore p = 14/105 = 0.13
3... and q=1-0.133=0.867
Samples would be needed to create a 99 percent confidence interval.
Subtract the confidence level from 1, then divide by two.

By standard normal table z=2.5758≈2.58
Calculate the sample size as:

Where, e is the margin of error,
Substitute the respective values.

Hence, the Sample size is 1918.89035
The first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42
Answer:
x=8
Step-by-step explanation:
Answer:
2x squared +1 (-)x squared -7 is
a.) x squared +8
Step-by-step explanation:
:)