Perimeter: 36.84 feet
Let’s start with the easy part...all the rectangle pieces 6 x 3 = 18 feet
We know from subtracting the rectangle length (6ft) from the total length (12 ft) that the diameter of the circle is 6ft.
Circumference = diameter x pi
= 6 x 3.14 = 18.84
We have the circle split into 2 halves, but the circumference remains the same
18 + 18.84 = 36.84
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9
The <em><u>correct answer</u></em> is:
Box 2
Explanation:
In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:
Box 1:
3(1.1⁵) = 4.83153
Box 2:
4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794
With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.
