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andreyandreev [35.5K]
3 years ago
9

A grocery store receives a case containing the bottles of juice shown below

Mathematics
1 answer:
andrezito [222]3 years ago
4 0
Can't help without a pic or a problem to solve. sorry.
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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

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3 years ago
What is the smallest number of degrees needed to rotate a pentagon around its center onto itself?
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Like to get back to where it started? In that case 360
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3 years ago
HELP RN RN RN RN PLEASE ASAP
lapo4ka [179]
I think the answer is A) stratified random sampling! Stratified random sampling is when sunsets of individuals are created based on similar criteria, which sounds the closest to the problem because stratified can split a group and does not have to be fully equal.
Non random sampling doesn’t fit because it’s clearly stated that it’s random.
Systematic random sampling is based on intervals in a group.
The next closest answer would be simple random, which is when a subset of individuals are chosen from a larger group with all having the same probability.
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2 years ago
I’m so confused <br> I feel like I’ve tried everything <br> Please help
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130 - 40 = 90 (because you need to have soil to have flowers to grow)




90/6 = 15

So 15 flowers she can buy
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3 years ago
Read 2 more answers
Maths<br> Share £72 in the ratio 2:7
avanturin [10]
2+7= 9 
72 / 9 = 8
8 * 2 = 16
<span>8 * 7 = 56 
</span>16:56
<span>
Key: 
</span>* = times
<span>/ = divide</span>
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