Answer:
28.86
Step-by-step explanation:
It's the Pythagorean theorem just relearn it and you should be fine
Answer:
1884ft³
Step-by-step explanation:
the pipe should be a cylinder shape so given the dimensions we use the volume formula of cylinder
![v = \pi \times {r}^{2} \times h \\ v = 3.14 \times {2}^{2} \times 150 \\ v = 1884 {ft}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5Ctimes%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctimes%20h%20%5C%5C%20v%20%3D%203.14%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%20150%20%5C%5C%20v%20%3D%201884%20%7Bft%7D%5E%7B3%7D%20)
Option A
The line
is perpendicular to ![y = \frac{3}{4}x - 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%203)
<u>Solution:</u>
Given that line is ![y = \frac{3}{4}x - 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%203)
We have to find the line perpendicular to this line.
The given line equation is in form of slope-intercept form
<em><u>The slope-intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of the line and "c" is the y-intercept
On comparing the given equation with slope-intercept form, we get
![m = \frac{3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
<em>If a line is perpendicular to another line, then the product of their slopes will always be -1</em>
Let the slope of line which is perpendicular to given line be "a"
Then we get,
![\frac{3}{4} \times a = -1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20a%20%3D%20-1)
![a = \frac{-4}{3}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B-4%7D%7B3%7D)
Now look at the options and compare with slope intercept form and find out which option has the slope "m" = ![\frac{-4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D)
Option A
has the slope ![\frac{-4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D)
Thus option A is correct
The answer is B - The number or value being raised to a power
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