Answer:
32
Step by step explination:
Simplify
Answer:
Option B.
Step-by-step explanation:
Let as consider the given equation:
It can be written as
![[\because \ln e^a=a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ea%3Da%5D)
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln \dfrac{a}{b}=\ln a-\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cln%20a-%5Cln%20b%5D)
On comparing both sides, we get
Multiply both sides by 5.
Divide both sides by 2.
Therefore, the correct option is B.
Answer:
470 cm³
Step-by-step explanation:
Decompose the prism into two rectangular prism.
Prism 1 will have the following dimensions and volume:
Length = 10 cm
Height = 8 cm
Width = 9 - 5 = 4 cm
Volume = L × W × H
Volume = 10 × 8 × 4 = 320 cm³
Prism 2:
Length = 10 cm
Height = 3 cm
Width = 5 cm
Volume = 10 × 3 × 5 = 150 cm³
✔️Volume of the entire prism = 320 + 150 = 470 cm³
Answer:
If the line passes through the orgin
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Radius = 5 centimeters
Height = 15 centimeters
Therefore,
Volume of cone = 1/3 × 3.14 × 5² × 15 = 392.5 cubic centimeters
