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yanalaym [24]
2 years ago
12

Is (3x6) x 9 and 3x(6x9 equal?

Mathematics
2 answers:
Gala2k [10]2 years ago
5 0
Yes, they are equal because, (3x6) x 9= 162 and, 3x(6x9 = 162 as well! Hope it helps
Montano1993 [528]2 years ago
3 0

Answer:

Yes it is because you are using the commutative property which means that the answer is going to be the same no matter how you position the numbers

Step-by-step explanation:

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A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
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The unit price per pen is $0.14.

Explanation :
You simply divide the total by the quantity.
$1.09/8= 0.13625.
Since this has to do with money you round to the nearest hundredth to get $0.14.
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Define a variable, write equation, solve and answer the question.
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Answer:

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4x+6 = 26

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2 years ago
Use the tangent identity to
Lunna [17]

Answer:

tan(x)=\frac{44\sqrt{89}}{89}

Step-by-step explanation:

tan is defined as: tan(x)=\frac{opposite}{adjacent}

sin is defined as: sin(x)=\frac{opposite}{hypotenuse}

cos is defined as: cos(x)=\frac{adjacent}{hypotenuse}

We can also define tan as: tan(x)=\frac{sin(x)}{cos(x)}

because plugging in the definitions of sin and cos in we get: tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}

plugging in sin(x) and cos(x) we get:

tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \frac{\sqrt{89}}{\sqrt{89}} which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}

5 0
9 months ago
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