Answer: ![2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20y%5E%7B3%7D%20%28%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20y%7D%20%29)
Step-by-step explanation:
![\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B8%7D%20y%5E%7B10%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B2%5E%7B3%7D%20%5Ccdot%202%5E%7B2%7D%20%20%5Ccdot%20x%5E%7B2%7D%20%5Ccdot%20%28x%5E%7B2%7D%20%29%5E%7B3%7D%20%5Ccdot%20y%20%5Ccdot%20%28y%5E%7B3%7D%29%5E%7B3%7D%20%20%7D%20%3D2x%5E%7B2%7D%20y%5E%7B3%7D%20%28%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20y%7D%20%29)
Answer:
84 degrees
Step-by-step explanation:
Applying the Cosine Rule (Choice 2 is the correct one) :-
12^2 = 11^2 + 6^2 - 2*11*6 cos Y
144 = 121 + 36 - 132 cos Y
cos Y = (121 + 36 - 144) / 132
cos Y = 0.09848
Y = 84.3 degrees
Answer:
763.2% or 954/125
Step-by-step explanation:
Answer:
The volume of a cone is given by the equation:

where
r is the radius of the cone
h is its height
We have several examples of cones in real life: for instance, the cone of an ice-cream, it has a conic shape.
The volume of a prism instead is given by:

where:
l is the length of the base
w is the width of the base
h is the height of the prism
Again, we have several examples of prisms in daily life: for example, boxes have usually the form of a prism, so it can be useful to know their size in order to calculate their volume.