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blsea [12.9K]
2 years ago
10

Can you help me solve this problem & write my answer in simplest radical form.

Mathematics
1 answer:
olga55 [171]2 years ago
3 0

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

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Does anyone know what 0.4 divided by 2.4 is? I think it’s 0.6 or 6 not for sure tho!
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What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
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Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
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\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}
8 0
3 years ago
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15 points for someone who can answer & explain this to me thanks
iris [78.8K]

Answer:

see explanation

Step-by-step explanation:

Given

\frac{9}{a^2+9a+20} , \frac{7a}{a^2+11a+28}

Factor the denominators of both fractions

\frac{9}{(a+4)(a+5)} , \frac{7a}{(a+4)(a+7)}

The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)

Multiply numerator/denominator of first fraction by (a + 7)

Multiply numerator/denominator of second fraction by (a + 5 )

\frac{9(a+7)}{(a+4)(a+5)(a+7)} , \frac{7a(a+5)}{(a+4)(a+5)(a+7)} , then

\frac{9a+63}{(a+4)(a+5)(a+7)} , \frac{7a^2+35a}{(a+4)(a+5)(a+7)}

8 0
2 years ago
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