Answer:
26.67 hours or 26 hours and 40 minutes.
Step-by-step explanation:
To find out how long will it take for Joe and Bill to finish building the wall together, first find their individual work rates in feet per hour:
Bill:
![B = \frac{10\ ft}{4 h} \\B = 2.5\frac{\ ft}{h}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B10%5C%20ft%7D%7B4%20h%7D%20%5C%5CB%20%3D%202.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Joe:
![B = \frac{10\ ft}{5 h} \\B = 2.0\frac{\ ft}{h}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B10%5C%20ft%7D%7B5%20h%7D%20%5C%5CB%20%3D%202.0%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Their combined work rate is:
![W =J+B\\W = 2.5\frac{\ ft}{h}+2.0\frac{\ ft}{h}\\W=4.5\frac{\ ft}{h}](https://tex.z-dn.net/?f=W%20%3DJ%2BB%5C%5CW%20%3D%202.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D%2B2.0%5Cfrac%7B%5C%20ft%7D%7Bh%7D%5C%5CW%3D4.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D)
Then, divide the total size of the wall by their work rate to find the time spent to finish it:
![t = \frac{120\ ft}{2.5\frac{\ ft}{h}} \\t= 26.67\ h](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B120%5C%20ft%7D%7B2.5%5Cfrac%7B%5C%20ft%7D%7Bh%7D%7D%20%5C%5Ct%3D%2026.67%5C%20h)
Answer:
![volume = 384 \pi \ units^3 \\\\or \\\\volume = 1205.76 \ units^3](https://tex.z-dn.net/?f=volume%20%3D%20384%20%5Cpi%20%5C%20units%5E3%20%5C%5C%5C%5Cor%20%5C%5C%5C%5Cvolume%20%3D%201205.76%20%5C%20units%5E3)
Step-by-step explanation:
![volume = \pi r^2 h\\\\volume = 3.14 \times 8^2 \times 6 = 3.14 \times 64 \times 6 = 384 \pi = 1205.76 \ units^3](https://tex.z-dn.net/?f=volume%20%20%3D%20%5Cpi%20r%5E2%20h%5C%5C%5C%5Cvolume%20%3D%203.14%20%5Ctimes%208%5E2%20%5Ctimes%206%20%3D%203.14%20%5Ctimes%2064%20%5Ctimes%206%20%3D%20%20384%20%5Cpi%20%3D%201205.76%20%5C%20units%5E3)
We know that if m and n are parallel, then we know that they have the same slope. We can call it x in this case.
Since we know that p is a perpendicular transversal, then we know it is the opposite and reciprocal of m. Therefore, we can label it as -1/x.
Since p = -1/x and n = x, we can tell they are perpendicular.
Hello there!
The median is the middle of the data set. Since we only have 7 numbers, we can arrange it from greatest to least, however the program has already done that. So, to find the median for this data set, all we have to do is simply find the middle number. The median would be 9 for this data set.
Answer:
987.
Step-by-step explanation:
The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.