Answer: 7.5
Step-by-step explanation:
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➷ The formula for surface area of a cylinder is:
![2\pi rh + 2\pi r^2](https://tex.z-dn.net/?f=2%5Cpi%20rh%20%2B%202%5Cpi%20r%5E2)
The radius is half the diameter
radius = 8/2 = 4
Substitute the values in:
![2\pi (4)(18) + 2\pi (4)^2](https://tex.z-dn.net/?f=2%5Cpi%20%284%29%2818%29%20%2B%202%5Cpi%20%284%29%5E2)
Solve it:
surface area = ![176\pi](https://tex.z-dn.net/?f=176%5Cpi)
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➶ Hope This Helps You!
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Answer:
5.3
Step-by-step explanation:
(x − 6)(x + 0.7) = 0
using the zero product property
x-6=0 x+.7 =0
x-6+6 = 0+6 x+.7 -.7 = 0-.7
x = 6 x= -.7
sum of the solutions
6+-.7 = 5.3
Answer:
are you sure that you have the question right? because this is not do able unless fractions are allowed.
Explanation:
The function is ![y>-\frac{1}{3} x+5](https://tex.z-dn.net/?f=y%3E-%5Cfrac%7B1%7D%7B3%7D%20x%2B5)
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function ![y>-\frac{1}{3} x+5](https://tex.z-dn.net/?f=y%3E-%5Cfrac%7B1%7D%7B3%7D%20x%2B5)
![\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D0%20%26%3D-%5Cfrac%7B1%7D%7B3%7D%20x%2B5%20%5C%5C-5%20%26%3D-%5Cfrac%7B1%7D%7B3%7D%20x%20%5C%5Cx%20%26%3D15%5Cend%7Baligned%7D)
Thus, the x-intercept is ![(15,0)](https://tex.z-dn.net/?f=%2815%2C0%29)
To find the y-intercept, let us substitute x=0, we get,
![\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26y%3D-%5Cfrac%7B1%7D%7B3%7D%280%29%2B5%5C%5C%26y%3D5%5Cend%7Baligned%7D)
Thus, the y-intercept is ![(0,5)](https://tex.z-dn.net/?f=%280%2C5%29)
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function
, to find the y-values.
The points are
. The image of the graph and table is attached below: