Answer:
8
Step-by-step explanation:
According to Euclidean theorem
m^2 = 4×16
m^2 = 64
m = 8
Answer:
650 kg/m³
Step-by-step explanation:
The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.
density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³
= 650 kg/m³
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
The number of trees at the begging of the 4-year period was 2560.
Step-by-step explanation:
Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees was
, and for the next three years we have that
Start End
Second year
-------------- ![\frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7Dx%2B%5Cfrac%7B1%7D%7B4%7D%28%5Cfrac%7B5%7D%7B4%7Dx%29%20%3D%5Cfrac%7B5%7D%7B4%7Dx%2B%20%5Cfrac%7B5%7D%7B16%7Dx%3D%5Cfrac%7B25%7D%7B16%7Dx%3D%28%5Cfrac%7B5%7D%7B4%7D%20%29%5E%7B2%7Dx)
Third year
-------------![(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B2%7Dx%2B%5Cfrac%7B1%7D%7B4%7D%28%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B2%7Dx%29%20%3D%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B2%7Dx%2B%5Cfrac%7B5%5E%7B2%7D%20%7D%7B4%5E%7B3%7D%20%7D%20x%3D%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B3%7Dx)
Fourth year
--------------![(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B3%7Dx%2B%5Cfrac%7B1%7D%7B4%7D%28%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B3%7Dx%29%20%3D%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B3%7Dx%2B%5Cfrac%7B5%5E%7B3%7D%20%7D%7B4%5E%7B4%7D%20%7D%20x%3D%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B4%7Dx.)
So the formula to calculate the number of trees in the fourth year is
we know that all of the trees thrived and there were 6250 at the end of 4 year period, then
⇒![x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6250%2A4%5E%7B4%7D%20%7D%7B5%5E%7B4%7D%20%7D%3D%20%5Cfrac%7B10%2A5%5E%7B4%7D%2A4%5E%7B4%7D%20%7D%7B5%5E%7B4%7D%20%7D%3D2560.)
Therefore the number of trees at the begging of the 4-year period was 2560.
Answer:
Step-by-step explanation:
38192.4