<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the swimming pool and the gym are proportional
The pool is 75 feet long by 60 feet wide
To find: set of possible dimensions for the gym
To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60
<em><u>One set of dimensions are:</u></em>
75 x 2 = 150
60 x 2 = 120
The dimensions of the gym floor could be 150 feet by 120 feet
<em><u>Other set of dimensions:</u></em>
75 x 3 = 225
60 x 3 = 180
The dimensions of the gym floor could be 225 feet by 180 feet
N is a variable in algebra. Variables are letters that represent unknown numbers. Variables can be any letter of the alphabet.
Here's how to use n in an algebraic equation:
5 + n = 12
To find what N represents, let it be the only thing on the left side of the variable:
5 -5 + n = 12 - 5
n = 7
Happy to help!
Answer:
3 ft times<em> x </em>ft
Step-by-step explanation:
You don't know what the x is so you can keep it as a x.You are going to multiply it so it is 3 ft times<em> x </em>ft
C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c
side of square = (29 - c)/4
radius of circle = c/(2pi)
a = side^2 + (pi)r^2
a = ((29 - c)/4)^2 + pi * (c/(2pi))^2
a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi
a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)
Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.
We take the derivative of the area expression and set equal to zero to find the minimum circumference.
da/dc = -3.625 + c/8 + (c/(2pi)) = 0
c = 12.76
Answer: 12.76 cm
