Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
Answer:
Step-by-step explanation:
Circumference = 
Given that d = 7 m
Answer:
85
Step-by-step explanation:
Order of operations rules (PEMDAS) govern here. Anything inside parentheses must be done first, followed by exponentiation, mult. and div., and add. and subtr. last.
Add 2+5 first: 5 + 2*{(7)*5 + 5}
Perform the work shown inside the brackets { and }: 5 + 2*{40}
Perform the indicated mult.: 5 + 80
Finally, add: 85
Answer:
what is the question
Step-by-step explanation:
