Answer: 30 posts
Step-by-step explanation:
each post is 5 feet apart and 30 x 2 + 45 x 2 = 150 which divided by 5 is 30
<span>If x = Jamal's age , 2x = Wilma's age , x - 3 = Tim's age.
The sum of the ages is 17.
Jamal's age is 5
Wilma's age is 10
Tim's age is 2
Hope this helps!</span>
I don't know how to solve 11 but I guess I can solve 12 so I think those are the answers:
12.
(4, 53)
(5, 85)
The formula for volume of cone is:
V = π
r^2 h / 3
or
π r^2
h / 3 = 36 cm^3
Simplfying in terms of r:
r^2 = 108 / π h
To find for the smallest amount of paper that can create
this cone, we call for the formula for the surface area of cone:
S = π
r sqrt (h^2 + r^2)
S = π
sqrt(108 / π h) * sqrt(h^2 + 108 / π h)
S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h]
Surface area = sqrt (108) * sqrt[(π h + 108
/ h^2)]
<span>Getting the 1st derivative dS / dh then
equating to 0 to get the maxima value:</span>
dS/dh = sqrt (108) ((π – 216
/ h^3) * [(π h + 108/h^2)^-1/2]
Let dS/dh = 0 so,
π – 216
/ h^3 = 0
h^3 = 216 / π
h = 4.10
cm
Calculating
for r:
r^2 = 108 / π (4.10)
r = 2.90 cm
Answers:
h = 4.10 cm
<span>r = 2.90 cm</span>
Answer:
2/14
Step-by-step explanation:
i tried my best
