Answer:1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know that 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40 we then simplify to get 1/8.
Answer:
(ab)/2=area multiply the height and the base (ab) then divde by 2.
With the given order of integration, the interval over D is
![\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ciiint_D%20f%28x%2Cy%2Cz%29%20%5C%2C%20dV%20%3D%20%5Cint_%7B-3%7D%5E%7B3%7D%20%5Cint_%7B-%5Csqrt%7B9-x%5E2%7D%7D%5E%7B%5Csqrt%7B9-x%5E2%7D%7D%20%5Cint_%7B-%5Csqrt%7B9-x%5E2-z%5E2%7D%7D%5E%7B%5Csqrt%7B9-x%5E2-z%5E2%7D%7D%20f%28x%2Cy%2Cz%29%20%5C%2C%20dy%20%5C%2C%20dz%20%5C%2C%20dx)
Answer:
Step-by-step explanation:
Least common denominator of 5 , 50 = 50
![\frac{4}{5}+\frac{2}{50}=\frac{4*10}{5*10}+\frac{2}{50}\\\\=\frac{40}{50}+\frac{2}{50}\\\\=\frac{40+2}{50}\\\\=\frac{42}{50}\\\\=\frac{21}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%2B%5Cfrac%7B2%7D%7B50%7D%3D%5Cfrac%7B4%2A10%7D%7B5%2A10%7D%2B%5Cfrac%7B2%7D%7B50%7D%5C%5C%5C%5C%3D%5Cfrac%7B40%7D%7B50%7D%2B%5Cfrac%7B2%7D%7B50%7D%5C%5C%5C%5C%3D%5Cfrac%7B40%2B2%7D%7B50%7D%5C%5C%5C%5C%3D%5Cfrac%7B42%7D%7B50%7D%5C%5C%5C%5C%3D%5Cfrac%7B21%7D%7B25%7D)