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shutvik [7]
3 years ago
11

What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.

Mathematics
2 answers:
Romashka [77]3 years ago
8 0
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}}
\\\\\\
\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}}
JulsSmile [24]3 years ago
4 0

Answer:

√3/3

Step-by-step explanation:

just took the quiz

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WILL GIBE BRAINLIEST ASAP
Romashka [77]

Answer:

A and D have whole grid squares that are the same size and aren't over lapping

C has overlapping grid squares making it hard to count

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You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
mash [69]

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.

Let me know if you'd  like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.

Step-by-step explanation:

8 0
3 years ago
If 2 ounces is 240 calories then what is 2/3 ounces
Alex17521 [72]
If 2 ounces = 240 calories

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4 0
3 years ago
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Flauer [41]

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

8 0
3 years ago
Only do 7. iii<br>I will mark you as brainliest.. I don't have time please fasttt​
Sophie [7]

Answer:

Check my explanation

Step-by-step explanation:

(i) the area of the floor is 30m² (6m · 5m)

(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)

(iii) the area of the walls is:

     24m² (for the 6m by 4m walls)

     20m² (for the 5m by 4m walls)

     88m² in total total

7 0
3 years ago
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