The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
<h3>What are the dimensions of the rectangle base?</h3>
The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let x represent the width of the rectangular base.
- Width w = x
- Length = l = 3x-75
- Perimeter P = 810ft
Plug these values into the equation above.
P = 2( l + w )
810 = 2( (3x-75) + x )
810 = 6x - 150 + 2x
810 = 8x - 150
8x = 810 + 150
8x = 960
x = 960/8
x = 120
Hence,
Width of the rectangle = x = 120ft
Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft
Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
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Answer:
B
Step-by-step explanation:
First week :200$
2- 210$
3- 220.5$
4- 231.53$
5- 243.11$
6-255.27$
7- 268.03$
8-281.43 $
hope this helps
Answer: It is Undefined
Step-by-step explanation:
- ㏒(22+4)=log (14-31)
- ㏒(22+4)=log (-17)
Undefined
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
More can be learned about linear functions at brainly.com/question/24808124
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