The diameter is 48 feet. The radius is half of the diameter, so it is 24 feet. The area can be found using the formula pi r ^ 2. So, the area is 576 pi
Answer:
Length = 225 ft
Width = 150 ft
Step-by-step explanation:
If L is the length and W is the width, then:
900 = 2L + 3W
A = LW
Solve for W in the first equation:
3W = 900 − 2L
W = 300 − ⅔ L
Substitute into the area equation:
A = L (300 − ⅔ L)
A = 300L − ⅔ L²
Use calculus to find dA/dL and set to 0, or use the formula for vertex of a parabola.
Using calculus:
dA/dL = 300 − 4/3 L
0 = 300 − 4/3 L
L = 225
Using vertex formula:
L = -b / (2a)
L = -300 / (-4/3)
L = 225
Find the width:
W = 300 − ⅔ L
W = 150
You got the right answers, but the problem says to assume that the length is greater than the width.
x < 22.5; Samuel has less than 22.5 minutes to finish the race in the estimated time.
<h3>What amount of time Samuel left for the race?</h3>
The given inequality is-
From here, we define the variable x.
x = Number of the minutes left for the race
From here we can find the value of x
We have then:
Hence, Samuel has less than 22.5 minutes to finish the race in the estimated time.
To know more about inequality follow
brainly.com/question/24372553
Assuming the number is 331/2, or 331 over 2:
331/2 = 165.5 ÷ 400 = .4138 x 100% = 41.38%
100% - 41.38% = 58.62% not nickels
If the number is 33 1/2, or 33 and one half
33 1/2 = 67.5 ÷ 400 = 0.0838 x 100% = 8.38%
100% - 8.38% = 91.62% not nickels
Answer:
Step-by-step explanation:
1/2n - 5 = 21
1/2n = 21+5
1/2n = 26
n = 26 x 2
n = 52
