Answer is a - 6 because 325 divided by 65 is 5 so then 30 divided by 5 is 6
Answer:
D. x = -5/2, x = -1/2
Step-by-step explanation:
2x² + 7x + 5 = 0
(2x + 5)(x + 1) = 0
2x + 5 = 0 or x + 1 = 0
2x = -5 or x = -1
x = -5/2 or x = -1/2
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
The formula for the volume of a cone is 1/3

r²h, where r is the radius and h is the height.
Insert the values into the equation:
1/3

(5)²(11) ≈ 287.979327 (use a calculator for this part)
Divide 287.979327 by

and convert the decimal to a fraction:
91.66666666666666666666666666666666666666... = 91 2/3
The volume of the figure is 91 2/3

cubic units or units³.