Area of rectangle = 36 x 20 = 720 ft^2
Perimeter of rectangle = 2(36 + 20) = 112 ft
Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14<span>)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2
</span>Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft
<span>(a) What is the total area of the swimming pool? Explain your reasoning.
</span>
area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2
answer:
area of the swimming pool = 577.13 ft^2
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<span>(b) What is the perimeter of the swimming pool? Explain your reasoning.
</span>perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft
answer
perimeter of the swimming pool = 55.48 ft
The amount of variance for y that is predicted by its relationship with x is 64%.
<h3>
How much variance is predicted?</h3>
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.
Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.
Variance = (correlation coefficient²) x 100
(0.80²) x 100
0.64 x 100 = 64%
To learn more about correlation, please check: brainly.com/question/27246345
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Answer:
![\large \boxed{\sf \ \ 69 \ \textbf{touchdowns } 11 \ \textbf{field goals } \ }](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%2069%20%5C%20%5Ctextbf%7Btouchdowns%20%7D%2011%20%5C%20%5Ctextbf%7Bfield%20goals%20%7D%20%5C%20%7D)
Step-by-step explanation:
Hello,
Touchdown is 7 points, field goals is 3 points
Let's note a the number of touchdowns and b the number of field goals, we can write
(1) a + b = 80
(2) 7a + 3b = 516
(2) - 3*(1) gives
7a + 3b - 3(a + b) = 516 - 3*80
<=> 7a + 3b -3a - 3b = 516 - 240 = 276
<=> 4a = 276
<=> ![a=\dfrac{276}{4}=69](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B276%7D%7B4%7D%3D69)
And then from (1) b = 80 - 69 = 11
Hope this helps
Answer:
20
10% of 20 is 2 2x15=30
Step-by-step explanation:
Answer:
10226 ft
Step-by-step explanation:
Let x be the sea level, A horizontal imaginary line on the sea's surface.
-Given that Salton is -226 ft below this line and the mountain is 10000ft above sea. The difference between this elevetions is calculated as;
![\bigtriangleup =Mountain \ Peak-Sea \ bottom\\\\=10000-(-226)\\\\=10000+226\\\\=10226](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3DMountain%20%5C%20Peak-Sea%20%5C%20bottom%5C%5C%5C%5C%3D10000-%28-226%29%5C%5C%5C%5C%3D10000%2B226%5C%5C%5C%5C%3D10226)
Hence, the difference between the two elevations is 10226 ft