Answer:
B. 14 ft approx
Step-by-step explanation:
Given data
A teepee has a conical shape
Diameter= 10ft
radius= 5 ft
Volume = 366ft³
Height = ????
The expression for the volume is
V= 1/3πr^2 h
substitute
366= 1/3*3.142*5^2*h
366= 1/3*78.55*h
366= 26.18h
h= 366/26.18
h=13.98 ft
h= 14 ft approx
Hence the Height is 14 ft approx
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
all work is shown and pictured
Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for 
. Since the sum of the angles in a triangle adds up to 
, we can write the equation:
Looking at the smaller triangle on the left, 
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since 
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)
