Answer:
The volume of the new crate is exactly 174.4% of the old crate.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism of dimensions x, y and z is given by:
![V = xyz](https://tex.z-dn.net/?f=V%20%3D%20xyz)
She decided that the dimensions of the new crate needs to be increased by 40% of the original length.
Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So
![V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)](https://tex.z-dn.net/?f=V%20%3D%201.4x%281.4y%29%281.4z%29%20%3D%20%281.4%29%5E3%28xyz%29%20%3D%202.744%28xyz%29)
Percentage:
The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.
The volume of the new crate is exactly 174.4% of the old crate.
Suppose m∠1 = x degree
m∠2 = 17 x degree
As angle 1 & 2 are supplementary angles so
m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get
x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.
Put the top point on the first point from the top and the other one on the first point from the bottom.
The simplified version is 25/18