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.
Learn more about rectangles here: brainly.com/question/17043956
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Rachel will have ran 114 miles in six weeks.
There's five weekdays in a week: (3.2 x 5) = 16 miles
There's two days in a weekend: (1.5 x 2) = 3 miles
16 [weekday] + 3 [weekend] = 19 miles [7-day week]
(19 x 6) = 114 miles
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Kala call lasted for 0.36 minutes
<em><u>Solution:</u></em>
Given that Kala purchased a prepaid phone card for $15
Long distance calls cost $12 a minute using this card.
If the remaining credit on her card is $10.68
To find: Number of minutes her call lasted
Let "x" be the number of minutes her call lasted
Cost of 1 minute = $ 12
Total balance = $15
Remaining balance = $ 10.68
So we can frame a equation as:
Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted
So her call lasted for 0.36 minutes
An exterior angle of a triangle is equal to the sum of the opposite interior
angles
4x - 20 = 2x - 4 + 52
4x - 2x = 20 - 4 + 52
2x = 68
x = 68/2
x = 34
Answer:
56.02 dollars
Step-by-step explanation:
Wanted x, the price before taxes and tip.
sales tax: x * 0.11
+
tip on sales tax: x * 0.11 * 0.2
+
tip on price: x * 0.2
= 0.332x
= 18.6 (presumption)
Therefore,
x = 18.6/0.332 = 56.02
