Answer: ![60\ cm^3](https://tex.z-dn.net/?f=60%5C%20cm%5E3)
Step-by-step explanation:
<h3>
The complete exercise is attached.</h3>
You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
![V=lwh](https://tex.z-dn.net/?f=V%3Dlwh)
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
![V=(4\ cm)(3\ cm)(5\ cm)](https://tex.z-dn.net/?f=V%3D%284%5C%20cm%29%283%5C%20cm%29%285%5C%20cm%29)
Finally, evaluating, you get that the volume of the box is:
![V=60\ cm^3](https://tex.z-dn.net/?f=V%3D60%5C%20cm%5E3)
Answer:
miles driven by sam =215 miles
Miles driven by Tony = 305 miles.
Step-by-step explanation:
Let the miles driven by sam is x
given that Tony drove 90 miles more than sam
miles driven by Tony = miles driven by sam + 90 = x + 90
Total miles driven by them together
= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90
given
Tony and Sam are sharing the driving on a 520-mile trip
2x + 90 = 520
2x = 520 - 90 = 430
x = 430/2 = 215
Thus,
miles driven by sam = x = 215 miles
Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.
Answer:
im not sure
Step-by-step explanation:
go to www.analyzemath.com
Check the picture attached.
let m(VTI)= m(ITU)=a and let m(VUI)= m(IUT)=b
Then, in triangle TUV:
2a+2b+c=180°
2(a+b)+c=180°
c=180°-2(a+b)
In triangle TUI:
a+b+109°=180°
a+b=180°-109°=71°
substitute in c=180°-2(a+b):
c=180°-2(a+b)=180°-2*71°=180°-142°=38°
Answer:
569/
9 x^2−153xy−12y
Step-by-step explanation: