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3 years ago

Last year I read 150 books. My brother read 170 books more books than I did. How many books did my brother read?

Mathematics

2 answers:

Anettt [7]3 years ago

8 0

320 is what your brother read

schepotkina [342]3 years ago

5 0

Your brother read 320 books

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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

Evaluate the arithmetic series described:

Art [367]

Answer:

Step-by-step explanation:

a 1296

8 0

3 years ago

** I need help for this one***

Zepler [3.9K]

Answer:

Step-by-step explanation:

the two angles are equal angle x and the one opposite

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3 years ago

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A movie theater sells adult tickets for $6 each. Senior citizens receive a discount of $3. One evening the theater sold 400 tick

Andrej [43]

Answer:

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

Step-by-step explanation:

First, we need to establish a system of equations:

x= number of adults tickets

y= number of senior citizen tickets

x + y= 400

6x + 3y= 2,070

Now, we isolate x in one equation and substitute the value in the other:

x= 400 - y

6*(400 - y) + 3y = 2,070

2,400 - 6y + 3y = 2,070

330 = 3y

110 = y

Number of senior citizen tickets sold= 110

Number of adults tickets sold= 290

Prove:

290 + 110= 400

6*290 + 3*110= 2,070

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3 years ago

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spayn [35]

If I’m correct, I think A. 0.3x2 is the correct answer.

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Last year I read 150 books. My brother read 170 books more books than I did. How many books did my brother read?​

Last year I read 150 books. My brother read 170 books more books than I did. How many books did my brother read?