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Daniel [21]
2 years ago
7

How do you solve 2-3y >1 as a inequalities​

Mathematics
1 answer:
marishachu [46]2 years ago
7 0

For this case we have the following inequality:

2-3y> 1

We solve by following the steps below:

We subtract 2 from both sides of the inequality:

-3y> 1-2

Different signs are subtracted and the sign of the major is placed:

-3y> -1

We divide between 3 on both sides of the inequality:

-y>\frac {-1} {3}\\-y> - \frac {1} {3}

We multiply by -1 on both sides taking into account that the sense of inequality changes:

y

ANswer:

The solution is: y

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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
The wind blew away 24 of your muffins. That was 3/4 of them! How many are left?
forsale [732]
Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.
3 0
3 years ago
Which of the following is equivalent to 7.4 kilograms? 740,000 mg 740 g 74 hg 74,000 cg
dlinn [17]
<span>Which of the following is 7.4 kilograms?
=> 740 000 mg
=> 740 g
=> 74 hg
=> 74 000 cg
Let’s base on the Unit of measurement or conversion.
=> 740 000 mg
In every 1 kilogram is equals to 1 000 000
=> 7.4 kg * 1 000 000 mg = 7 400 000 mg
It’s not the correct Answer
=> 740 g
In every 1 kg is equals to 1 000 grams
=> 7.4 * 1000 = 7 400 grams
Thus, it’s not the correct answer
=> 74 hg
In every 1kg is equals to 10 hectograms
=> 7.4 kg x 10 = 74hg
Thus, this is the correct answer
=> 74 000 cg
In every 1kg is equals to 100 000
=> 7.4 * 100 000 = 740 000
not the correct answer.

</span>



8 0
3 years ago
Read 2 more answers
Hello, what is 9/3 - 2? thank you
Akimi4 [234]

Answer:

1

Because 9/3= 3

And 3-2=1

Hence the answer is 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
mara is raking leaves. She fills up 7 large bags with them in 3 hours. At this rate, how many bags could she fill in 9 hours?
N76 [4]

Answer:

5

Step-by-step explanation:

branliest????

8 0
2 years ago
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