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Kamila [148]
3 years ago
9

Use the given information to determine the exact trigonometric value. (in the image attached)

Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

OPTION B: $ \frac{-2\sqrt{5}}{5} $

Step-by-step explanation:

Given $ cot \theta = -\frac{\sqrt{5}}{2} $

We know that, $ \frac{1}{cot \theta} = tan \theta $

$ \implies tan \theta = \frac{1}{-\frac{\sqrt{5}}{2}} $

$ = -\frac{2}{\sqrt{5}} $

Multiplying and dividing by $ \sqrt{5} $, we get:

$ tan \theta = - \frac{2 \sqrt{5}}{\sqrt{5}\times \sqrt{5}}} $

$ \implies tan \theta = -\frac{2\sqrt{5}}{5} $

Hence, OPTION B is the answer.

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Can someone help me the 2nd problem I don’t understand it
Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

time=distance/speed

T_A=\frac{390}{S_A}

T_A=\frac{390}{65}

T_A=6

So it will take bus A 6 hours to cover the distance of 390 miles.

How much time would have it taken bus B to reach that same distance?

T_B=\frac{390}{45}

T_B=8.\overline{6}

So it would have taken bus B 8.\overline{6} hours to cover a distance of 390 miles.

So the time difference is 8.\overline{6}-6=2.\overline{6} hours.

It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

So bus B traveled 2.\overline{6} \cdot 45=120 miles (used the time*speed=distance) after bus A got to it's destination.

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

4 0
3 years ago
I need help ASAP, with numbers 3-6 above. Please help.
MatroZZZ [7]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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3 years ago
Will give brainliest answer
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Answer:

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Step-by-step explanation:

First find the radius

d = 2r \\ 9 = 2r \\  \frac{9}{2}  =  \frac{2r}{2}  \\ r = 4.5

Now find the CIRCUMFERENCE

c = 2\pi \: r \\  = 2 \times \pi \times 4.5 \\  = 9 \times \pi \\  = 28.26

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