Answer:
Part 1) 10 modules per floor
Part 2) Two different rectangular prism
Step-by-step explanation:
Part 1)
Let
x ----> the number of modules
y ---> the number of stories
we have
![x=150\ modules\\y=15\ stories](https://tex.z-dn.net/?f=x%3D150%5C%20modules%5C%5Cy%3D15%5C%20stories)
Divide the number of modules by the number of stories
so
![\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B150%7D%7B15%7D%3D10%5C%20%5Cfrac%7Bmodules%7D%7Bfloor%7D)
Part 2) How many different rectangular prisms could be made from that number?
The number is 10
Look at the factors of 10
They are 1,2
,4,5 and 10
Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10
There are 2 combinations that will work :
1
0×1×1
2
×5×1
Answer:
plus 20 or positive
Step-by-step explanation:
-60+80= 20
positive
Answer:
1.71
Step-by-step explanation:
by using definition of cos
![BC=BA\times \cos{70°}=5\cos{70°}=1.71](https://tex.z-dn.net/?f=BC%3DBA%5Ctimes%20%5Ccos%7B70%C2%B0%7D%3D5%5Ccos%7B70%C2%B0%7D%3D1.71)
Working together three workers would take 1 hour 36 minutes to finish the job
<em><u>Solution:</u></em>
Given that first worker can finish the job in 8 hours
So in one hour, first worker can do
th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do
th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do
th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>
![\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B1%20%2B%202%20%2B%202%7D%7B8%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D)
The three worker can thus do
th of the work in one hour
Hence the three of them together can finish the work in
hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job
The slope of the line would be 3/4