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Marat540 [252]
3 years ago
6

How to determine the acute angle between the line 2x+3y=6 and the y axis?

Mathematics
1 answer:
Lisa [10]3 years ago
6 0
2x+3y=6\\3y=-2x+6\ \ \ /:3\\y=-\frac{2}{3}x+2\\\\the\ angle\ between\ the\ line\ and\ the\ x\ axis-\alpha\\\\tg\alpha=-\frac{2}{3}\approx-0.666...\to\alpha\approx124^o\\\\the\ acute\ angle\ between\ the\ line\ and\ the\ y\ axis\ is\ 124^o-90^o=34^o
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Answer:

3 loaves of bread

Step-by-step explanation:

We must divide 2\frac12 by \frac34 and take an integer part of this dividing.

2\frac12:\frac34=\frac52:\frac34=\frac52\cdot\frac43=\frac{20}{6}=\frac{10}3=3\frac13

The integer part of a mixed fraction 3\frac13 is 3, and this is the answer.

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3 years ago
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2 years ago
Solve <br>In 2x + In 2=0​
irakobra [83]

Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Step-by-step explanation:

We need to solve: ln(2x)+ln(2)=0

Solving:

ln(2x)+ln(2)=0

Adding -ln(2) on both sides:

ln(2x)+ln(2)-ln(2)=0-ln(2)

ln(2x)=-ln(2)

Using logarithmic rule: if log_a b =c\,\,then\,\, b=a^c

So,

2x=e^{-ln(2)}

Simplifying:

2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}

So, Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Keywords: Logarithms

Learn more about Logarithms at:

  • brainly.com/question/11921476
  • brainly.com/question/10633485
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4 0
3 years ago
There are 10 multiple choice questions in an examination. first 4 have 5 choices each and remaining have 4 choices each. how man
stira [4]

2560000 sequences of answers are possible.

<em><u>Explanation</u></em>

Total number of questions = 10

First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.

So, the possible sequences of answers for first 4 questions = 5^4 = 625

and the possible sequences of answers for remaining 6 questions = 4^6=4096

Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000

5 0
3 years ago
Read 2 more answers
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