2 years ago

________ took the law into their own hands and acted as police, judge, jury and sometimes executioner

1 answer:

8 0

Answer: False, Vigilantes were citizens who formed committees to protect themselves. They took the law into their own hands and often acted as the judge, police, jury, and sometimes executioner.

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Solve 6 sin((π/5)x)=5 for the four smallest positive solutions

cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation $6\sin\left(\dfrac{\pi }{5}x\right)=5$ by 6:

$\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.$

Then

$\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,$

$x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.$

Since $\arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},$

four smallest positive solutions are

1. $\dfrac{5}{3.2}\approx 1.568,\ k=0;$

2. $\dfrac{-5}{3.2}+5\approx 3.432,\ k=1;$

3. $\dfrac{5}{3.2}+10\approx 11.568,\ k=2;$

4. $\dfrac{-5}{3.2}+15\approx 13.432,\ k=3.$

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3 years ago

An electrician charges $40 to come to your house she also charges $55 for each hour that she works the electrician charges you a

s2008m [1.1K]

First lets remove the initial fee
$190 - 40 = 150$
150 is how much she is charging you per hour.
If each hour is 55, lets divide 150 by 55.
$150 \div 55 = 2.7$
She charged you for 2.7 hours (almost 3) of service

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2 years ago

Bill can answer 41 math questions every 20 minutes. Complete the table to see how many math questions he can answer in 40 minute

Bogdan [553]

IN 40 MINUTES=82
IN 80 MINUTES =164

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3 years ago

Please help me i’ll give extra points.

maksim [4K]

Answer:

Step-by-step explanation:

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