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k0ka [10]
3 years ago
15

An angle in standard position measures 7π6 radians. In which quadrant does the terminal side of this angle lie?

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Hello!

To find the quadrant of where the angle 7π/6 radians is located, we will need to convert from radians to degrees. To do that, we will need to multiply it by 180/π.

7π/6 × 180/π = 1260/6 = 210 degrees

Since 210° is between 180° and 270°, then 7π/6 radians is located in the third quadrant shown by: Quadrant III, then 180° < θ < 270°.

Therefore, 7π/6 radians is located in quadrant III.

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82 x3 +4 +8 +5 +3<br> I KNOW THE ANSWER JUST SOME POINTS FOR FREE
vichka [17]

Answer:

266

Step-by-step explanation:

5 0
2 years ago
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
BRAINLIEST
kenny6666 [7]

Answer:

B. 1 1/3

Step-by-step explanation:

\frac{5}{6} + \frac{3}{6} = \frac{8}{6}

\frac{8}{6} = \frac{4}{3}

three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.

= 1\frac{1}{3}

hope this helps :)

4 0
2 years ago
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