Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
Answer:
It is, D
Step-by-step explanation:
Your welcome for raising your test score
Answer:
170
Step-by-step explanation:
<em>How the sales tax de-calculator works
</em>
<em>Step 1: take the total price and divide it by one plus the tax rate.
</em>
<em>Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
</em>
<em>Step 3: subtract the dollars of tax from step 2 from the total price.
</em>
<em>Pre-Tax Price = TP – [(TP / (1 + r) x r]
</em>
<em>TP = Total Price.</em>
Answer: I think the answer is $33.42
Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42
8 × 5 = 40
So the border has to be 40 feet.
Hope this helps!
Work:
length × width = answer
length = 8
width = 5
answer = 40
