Answer:
The equation of the line will be:
Step-by-step explanation:
Given the points
Finding the slope between (3, 4) and (12, 9)
The equation of the line can be obtained using the point-slope form of the equation of the line
substituting the values m = 5/9 and the point (3, 4)
Therefore, the equation of the line will be:
Answer:
Option C) 4 cubic inches is the volume of the rectangular prism.
Step-by-step explanation:
It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.
Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.
So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.
The formula for finding the volume of a cube is given by,
Volume of a cube = a³
where a represents the edge length
We know that, the edge length is 1/3 inch.
⇒ a = 1/3
Volume of a cube = (1/3)³
⇒ 1/3 × 1/3 × 1/3
⇒ 1/27 cubic inches
To find the volume of 108 cubes :
⇒ 108 × volume of one cube
⇒ 108 × 1/27
⇒ 4 cubic inches.
∴ The volume of 108 cubes is the volume of rectangular prism which is 4 cubic inches (option C)
Answer:
1.79553
Step-by-step explanation:
Step 1: Write expression
log₁₀(√(69.5² - 30.5²))
Step 2: Evaluate square root
log(√(4830.25 - 930.25))
log(√3900)
log(62.45)
Step 3: Find log
log₁₀ (or log)
log(62.45) = 1.79553
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To use the table method. we find values that are easily evaluated by log₁₀
log₁₀(10) = 1
log₁₀(50) = 1.69897
log₁₀(100) = 2
So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.
You have to use this equation the a=5, h=4 and b=9 and you should get the answer of 28
