Answer:
Step-by-step explanation:
We can use some logarithmic rules to solve this easily.
<em>Note: Ln means 
</em>
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Now, lets start with the equation:
Writing left side with logarithmic base e, we have:
We can now use the property shown below to make this into exponential form:
So, we write:
We recognize another property of exponentials:
So, we write:
Also, another property of natural logarithms is:
Now, we simplify:
This is the answer.
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer: length of the drive way = 56 feet
Width of the driveway = 12 feet
Step-by-step explanation:
The rectangular driveway has two equal lengths and two equal widths. The area of the driveway is expressed as
length,l × width,w
The area is 672 feet squared. It means that
L×W = 672
The length of the rectangular driveway is four feet less than five times the width. It means that
L = 5W - 4
Substituting L = 5W - 4 into LW = 672
W(5W - 4) = 672
5W^2 - 4W - 672 = 0
5W^2 + 56W - 60W - 672 = 0
W(5W + 56) - 12(5W + 56) = 0
(W - 12)(5W + 56) = 0
W - 12 = 0 or 5W + 56 = 0
W = 12 or 5W = -56
W= 12 or W = - 56/5
The Width cannot be negative , so
W = 12
LW = 672
12L = 672
L = 672/12 = 56
The veterinary should give the dog 0.1 m if medicine
