9514 1404 393
Answer:
31.41 ft²
Step-by-step explanation:
Heron's formula is useful when you have the three side lengths.
A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2
Using the given side lengths, we have ...
s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95
A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)
A = √986.81399375 ≈ 31.41 . . . . square feet
ANSWER

EXPLANATION
The outermost square tile has side length,

The area of a square is given by;

We substitite the given expression for the side length into the formula to obtain,


We expand using the distributive property to obtain;

This gives us:


The last choice is correct.
For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98
<h3>What is a sample size?</h3>
The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.
Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.
For a population mean of 20.15 and a standard deviation of 3.7
68% are within μ ± σ/√n,
hence,
68% = 20.15 ± 3.7/√20 = (19.32, 20.98)
For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.
To learn more about sample size from the given link:
brainly.com/question/22927560
#SPJ4
Barney can save
$119.66
in interest over the course of a year if he transfers his balance to a credit
card with an APR of 19.1%, compounded monthly. The correct answer between all
the choices given is the first choice or letter A.
Answer:
The answer to your question is (x - 7)² + y² = 81
Step-by-step explanation:
Data
Center = (7, 0)
radius = 9
Process
To find the standard equation of a circle, just substitute the values of the center and the radius.
Standar equation of a circle
(x - h)² + (y - k)² = r²
-Identify the values of h and k
h = 7 k = 0 and r = 9
-Substitution
(x - 7)² + (y - 0)² = 9²
-Simplification
(x - 7)² + y² = 81