Answer:1564cm cube
Step-by-step explanation: v=
r2h
v=22/7*6*6*14=1564.containter b volume of water is the total volume in container a so you just have to find container a volume
Answer:
$116
Step-by-step explanation:
The Simple Interest formula is i = prt. Here,
i = ($1,450)(0.04)(2 yr) = $116
Answer:
The unit rate for doing chores is $1 per hour more than the unit rate for babysitting
Step-by-step explanation:
30 / 5 = 6
28 / 4 = 7 the person above me was right
<span>To find out what percent 7 out of 20 is, we
need to ask: 7 out of 20 is how many out of 100? 5 groups of 20 make
100, so 7 out of 20 is 35 out of 100 (5 x 7 out of 5 x 20). Therefore 7/20 equals 35%, or 0.35 if we represent it as a decimal. I hope this helps</span>
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1