Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
The figure is made up of two semi-circles and one triangle
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Find Radius
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Radius = Diameter ÷ 2
Radius = 5 ÷ 2
Radius = 2.5 ft
Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²
Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²
Total area = 9.82 + 9.82 + 12
Total area = 31.63 ft²
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Total Area = 31.63 ft²
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Answer:
Confidence limit = [52.8%, 75.2%]
Step-by-step explanation:
± 
where the value will be taken from the z-table for 95% confidence interval
1-0.95= 0.05/2= 0.025
0.95+0.025= 0.0975
From the z-table the value of corresponding to 0.0975 is 1.96
± 
± 
± 
% ± 
%
so the confidence interval is
%
%
![[52.8, 75.2]](https://tex.z-dn.net/?f=%5B52.8%2C%2075.2%5D)
Answer:
1. Yes the parentheses are necessary. To find a fourth of her regular hours you must find the total amount she works during her regular hours.
2. 6
Step-by-step explanation:
(For the second question)
4+8= 12
12 × ½ = 12 ÷ 2
12÷2 = 6
