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Hunter-Best [27]
3 years ago
5

What is the common denominator of 2/9 and 2/3

Mathematics
2 answers:
GREYUIT [131]3 years ago
6 0

Answer:

9

Step-by-step explanation:

You can convert 2/3 to 6/9 by multiplying the numerator and denominator by 3, so that both fractions could have the same denominator

ludmilkaskok [199]3 years ago
5 0

Answer:

The common denominator of the two fractions is 9. So it would be 2/9 and 6/9 if we were to get both fractions to have the same denominator.

Step-by-step explanation:

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What is the area of a circle whose radius is 4x centimeters? write your answer in terms of pi.<br>​
Oduvanchick [21]

Answer:

16xpi

Step-by-step explanation:

To find the area of a circle the formula is pi r squared.

r represents radius, aka 4x.

4 times 4 yields 16.

Leaving you with 16xpi

5 0
2 years ago
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Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

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2 years ago
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asambeis [7]
The answers are: 
<span>ƒ(x) = x - .15x
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Let sale price be f(x) and x be the original price. Discount was 15% = 0.15
f(x) = x - 0.15x

If f(x) is sale and x is the original, then:
</span><span>Sale = Original - .15(Original)

Let sale price be y and original price x:
y = x - 0.15x
y = 1 * x - 0.15 * x
y = (1 - 0.15) * x
y = 0.85x</span>
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Step-by-step explanation:

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