Height of the pentagon = 9 ft
Edge of base = 3 ft
s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees
Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft
Answer:
18
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ 1, 5 ]
f(b) = f(5) = 3 × 5² = 75
f(a) = f(1) = 3 × 1² = 3, hence
average rate of change = =
= 18
Answer:
.
Step-by-step explanation:
The z-score for a normal distribution is calculated using the formula:
.
From the question, the distribution has a mean of 50.
and the standard deviation is
.
For a z-score to be negative, then, .
.
.
.
.
.
Any value less than 50 will produce a negative z-score