Answer:
t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.
Step-by-step explanation:
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
volume for cylinder = pi x r^2 x h
radius = half the diameter = 8/2 =4
height = 3 times the radius = 3*4 =12
using 3.14 for pi
volume = 3.14 x 4^2 x 12 = 602.88 cubic inches
Just replace all of the x’s with 5 and solve using order of operations. I will post what I got for my answer in the comments of the answer if you need it.
The required value is ![2\times10^9](https://tex.z-dn.net/?f=2%5Ctimes10%5E9)
Step-by-step explanation:
Weight of ants = ![4\times10^{-3}](https://tex.z-dn.net/?f=4%5Ctimes10%5E%7B-3%7D)
Weight of elephant= ![8\times10^6](https://tex.z-dn.net/?f=8%5Ctimes10%5E6)
We need to find, the total weight of about how many ants equals to the weight of an oversized elephant.
The equation given is:
![4\times10^{-3} \times a = 8\times10^6](https://tex.z-dn.net/?f=4%5Ctimes10%5E%7B-3%7D%20%5Ctimes%20a%20%3D%208%5Ctimes10%5E6)
We need to find a:
Solving:
![4\times10^{-3} \times a = 8\times10^6\\a=\frac{8\times10^6}{4\times10^{-3}}\\if \,\,10^a/10^-b \,\,then\,\, 10^{a+b}\\a=2\times10^{6+3} \\a=2\times10^9](https://tex.z-dn.net/?f=4%5Ctimes10%5E%7B-3%7D%20%5Ctimes%20a%20%3D%208%5Ctimes10%5E6%5C%5Ca%3D%5Cfrac%7B8%5Ctimes10%5E6%7D%7B4%5Ctimes10%5E%7B-3%7D%7D%5C%5Cif%20%5C%2C%5C%2C10%5Ea%2F10%5E-b%20%5C%2C%5C%2Cthen%5C%2C%5C%2C%2010%5E%7Ba%2Bb%7D%5C%5Ca%3D2%5Ctimes10%5E%7B6%2B3%7D%20%5C%5Ca%3D2%5Ctimes10%5E9)
So, the required value is ![2\times10^9](https://tex.z-dn.net/?f=2%5Ctimes10%5E9)
Keywords: Scientific Notation
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