
Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
![\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%5E2%3D6%5E2%2B8%5E2%20%5C%5C%20l%5E2%5Ctext%7B%20%3D%2036%20%2B%2064%7D%20%5C%5C%20l%5E2%5Ctext%7B%20%3D100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%2010%20mm%7D%20%5Cend%7Bgathered%7D)
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;
Answer:
Speed of passenger train=18+30=48 mph
Speed of freight train=30 mph
Step-by-step explanation:
Let x be the speed of freight train.
Speed of passenger train=x+18 mph
Time taken by freight train=1.5+2.5=4 hrs
Time taken by passenger train to overtake the freight train=2.5 hrs
Distance=
By using this formula
Distance traveled by passenger train=2.5(x+18) miles
Distance traveled freight train=4x
According to question





Speed of freight train=30 mph
Speed of passenger train=18+30=48 mph
Answer:
1. 2 2/3 or -2 2/3
2 . 2 1/6
3. 9 3/4
Step-by-step explanation:
You just have to subtact the fractions and you will get your answer!
Answer:
you can fill 6 and a half vials
Step-by-step explanation:
13//2=6.5