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Ksivusya [100]
3 years ago
13

Write an inequality for the sentence: twice a number, decreased by the quotient of that number and 2, is at least 12.

Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0
2x-(2/X+2)>12. I hope this helps :)
nekit [7.7K]3 years ago
5 0
We are asked to write a certain equation. Your first task is to read the statement thoroughly. If you've notice, the statement mentioned "a number". Let's assign x to be the number. First statment is twice a number (2x). Then, decreased by the quotient of that number and 2 (-x/2). Lastly, the statement at least 12 is written as >12. 

2x - (x/2) >12
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The statement "If 1/2x=5, then x=10 is justified by the
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I think it's the Multiplication Property of Equality.

Hope this helps you! :)
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Tyler has a bag of shapes with 8 octagons, 24 trapezoids, 5 pentagons, 14 hexagons what is the probability he will pick a shape
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More than 5 sides have octagons and hexagons
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Help!!!!!!!!!!!!
labwork [276]

Answer:

None of the Above

Step-by-step explanation:

As it is given that

cosФ= 3/2

and Ф lies in quadrant 4

Now in quadrant 4 we know that by the rules of trigonometry that

cos Ф is positive in 4th quadrant also in 4th quadrant

and sinФ is negative in 4th quadrant

also we know that by simple rules of trigonometry in a right angled triangle

cos Ф=\frac{Base}{Hypotenuse} =\frac{3}{2}

now from the law of trigonometry

cos²Ф+sin²Ф=1

From this we derive the value of sinФ

solving the equation

sin²Ф=1-cos²Ф

Putting in the values of cos Ф

sin²Ф=1-(\frac{3}{2})^{2}

sin²Ф=1-(\frac{9}{4})

solving the fraction

sin²Ф=(\frac{4-9}{4})

sin²Ф=(\frac{-5}{4})

so taking square root of both sides

\sqrt{sin^{2}\alpha}=\sqrt{\frac{-5}{4} }

here

\alpha=Ф

so it becomes

sin Ф=\frac{\sqrt{-5} }{2}

as we know that in imaginary numbers

\sqrt{-1} = ι

so the given becomes

sin Ф=\frac{{-5ι} }{2}

Which is the value of sin Ф

And in the given values we can see that it is none of the values

Also seeing the question we can see that the question is absurd because

cos Ф= base / hypotenuse

in our question we can see that base =3 and hypotenuse = 2

but in real geometry this is the rule that hypotenuse can never be smaller then base either it is equal to base or greater then base

the formula for finding value of finding hypotenuse is

hypotenuse ² = base ² + perp ²

so this formula shows that if perp is 0 then hypotenuse will be equal to base

in other cases it would be greater then base





5 0
3 years ago
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A sequence is defined recursively by the formula F (n+1)=-2f(n). The 1st term of the sequence is -1.5. What is the next term in
marta [7]

Answer:

F(2)=3

Step-by-step explanation:

The first term is -1.5= f(1).

So  F(1+1)=-2*f(1)= (-1.5)*(-2)=3

3 0
3 years ago
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