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alex41 [277]
3 years ago
9

ASAP please it’s very important

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer:

x = 30° and 330°

Step-by-step explanation:

Assuming the intervals is {0 , 2π} or {0° , 360°}

tan\ x=\frac{-\sqrt{3} }{3} \\\\x=tan^{-1} (\frac{-\sqrt{3} }{3})\\\\x = -30

So it means it lies in the 2nd and 4th quadrant because tangent is negative in the 2nd and 4th quadrant

so the two solutions are

x = 30° and 330° or

x=\frac{\pi }{6}\ radians\ \ , \ \ \frac{11\pi }{6}\ radians

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Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}

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3 0
3 years ago
a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. Wh
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  about 9.80 cm

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The length of half the segment (h) can be found from the Pythagorean theorem:

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The length of the segment is 4√6 ≈ 9.80 cm.

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Answer:

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24=3n-15

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