Step One
Find the area of the base
A = s * s
s = 755.5 feet
Area = 755.5^2
Area = 570780.25 square feet.
Step two
Multiply the volume by 3
V = 1/3 B * h
3*V = B * h
V = 85600000
85600000 * 3 = B * h
256800000 = B * h
Step Three
Divide by B
B = 570780.25
256800000 = 570780.25 * h
256800000 / 570780.25 = h
449.91 feet = h
Answer:
(x − 6i) (x + 6i)
Step-by-step explanation:
Using real numbers, x² + 36 is already simplified.
Using imaginary numbers:
x² + 36
x² − 36i²
(x − 6i) (x + 6i)
Given that

, then

The slope of a tangent line in the polar coordinate is given by:

Thus, we have:

Part A:
For horizontal tangent lines, m = 0.
Thus, we have:

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,

Thus, we have:

</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
Answer: A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16
Answer:
6 inches
Step-by-step explanation:
The perimeter formula for a square is P = 4*S
P =24
s = ?
24 = 4*S Divide both sides by 4
24/4 = 4S/4
S = 6