Answer: $21
Step-by-step explanation:
30/100 = 0.3
0.3 * 30 = 9
30 - 9 = 21
25123.5325 square feet of tin is needed to make the roof
<em><u>Solution:</u></em>
Given that the roof of a farm silo is the shape of a hemisphere and is made of sheet tin
Given diameter of silo = 126.5 feet
![Radius = \frac{diameter}{2}](https://tex.z-dn.net/?f=Radius%20%3D%20%5Cfrac%7Bdiameter%7D%7B2%7D)
![r = \frac{126.5}{2} = 63.25](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B126.5%7D%7B2%7D%20%3D%2063.25)
<em><u>To find: sheet tin is needed to make the roof</u></em>
So we have to find the curved surface area of hemisphere
The curved surface area of hemisphere is given as:
![\text{ curved surface area } = 2 \pi r^2](https://tex.z-dn.net/?f=%5Ctext%7B%20curved%20surface%20area%20%7D%20%3D%202%20%5Cpi%20r%5E2)
Substitute r = 63.25 in above formula
![\text{ curved surface area } = 2 \times 3.14 \times (63.25)^2\\\\\text{ curved surface area } = 6.28 \times 4000.5625\\\\\text{ curved surface area } = 25123.5325](https://tex.z-dn.net/?f=%5Ctext%7B%20curved%20surface%20area%20%7D%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%20%2863.25%29%5E2%5C%5C%5C%5C%5Ctext%7B%20curved%20surface%20area%20%7D%20%3D%206.28%20%5Ctimes%204000.5625%5C%5C%5C%5C%5Ctext%7B%20curved%20surface%20area%20%7D%20%3D%2025123.5325)
Thus 25123.5325 square feet of tin is needed to make the roof
The answer is 5. In a slope-intercept form equation, the slope is always the coefficient of x. The slope is 5.
We are asked to find the derivative of the function y = 2 e^3x. Using the differentiation rule of the logarithmic functions, the derivative of 2 e^3x is 6 e^3x. <span> The derivative was multiplied further by the derivative of the power of the logarithmic function</span>
Answer:
![l = \frac{A - w}{2}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%7BA%20-%20w%7D%7B2%7D)
Step-by-step explanation:
Given A = 2(l + w)
Divide both sides by 2:
![\frac{A}{2} = \frac{2(l + w)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7B2%7D%20%3D%20%5Cfrac%7B2%28l%20%2B%20w%29%7D%7B2%7D)
A/2 = l + w
Subtract <em>w</em> from both sides to isolate<em> l</em>
![\frac{A - w}{2} = l + w - w](https://tex.z-dn.net/?f=%5Cfrac%7BA%20-%20w%7D%7B2%7D%20%3D%20l%20%2B%20w%20-%20w)
![l = \frac{A - w}{2}](https://tex.z-dn.net/?f=l%20%3D%20%5Cfrac%7BA%20-%20w%7D%7B2%7D)