Answer:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by;
× π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm
<h3>Given</h3>
The current balance is $420.
The current balance is 7/6 of the original balance, b
<h3>Find</h3>
equation to use to find b
<h3>Solution</h3>
Equate the two descriptions of the current balance.
... $420 = (7/6)b . . . . . equation to use to find b
Answer:
5r + (5 x 6) = 84
looking for rice per pound.
Step-by-step explanation:
5r + (5 x 6) = 84
This shows an equation where we need to make r the subject to establish how many pounds a bag of rice weighs.
5r + (5 x 6) = 84
5r + (30) = 84
5r = 84-30
5r = 54/5
r = 10 4/5
r = 10.8 pounds
Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x = 
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.