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Scilla [17]
3 years ago
12

The shapes show that there are 4 squares for every

Mathematics
2 answers:
Elenna [48]3 years ago
8 0

Answer:

dats alot there shortie, anyways...how you doing and if you answer this...i have sum you might like to hear

Step-by-step explanation:

vodka [1.7K]3 years ago
3 0

Answer:

The answer is 6 circles

Step-by-step explanation:

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2 tan 30°<br>II<br>1 + tan- 300​
shusha [124]

Question:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Answer:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

Step-by-step explanation:

Given

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}

Required

Simplify

In trigonometry:

tan(30^{\circ}) = \frac{1}{\sqrt{3}}

So, the expression becomes:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}

Simplify the denominator

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}

Express the fraction as:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= \frac{2}{\sqrt 3} / \frac{4}{3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{2}{\sqrt 3} * \frac{3}{4}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{1}{\sqrt 3} * \frac{3}{2}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3}

Rationalize

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{3\sqrt{3}}{2* 3}

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})} = \frac{\sqrt{3}}{2}

In trigonometry:

sin(60^{\circ}) =  \frac{\sqrt{3}}{2}

Hence:

\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}= sin(60^{\circ})

3 0
3 years ago
Sam puts $500 in the bank and does not put any more money in or take any out for eight years. He receives 6% interest yearly, co
drek231 [11]

Answer:

$894

Step-by-step explanation:

0.06 x 500 x 8^1.25 (-9)= 500+ 403 = $903-9= $894

1.25 = 1/8 of 1 (-9)

1=each power.

8th year = $843.75

9th year = $894

Semi annually you can do the same as 16/1 -17

5 0
3 years ago
Help I need to know this ASAP
Tanzania [10]
The correct answer is b
4 0
3 years ago
A new car has a sticker price of $23,750, while the invoice price paid on it was $22,950. what is the percentage markup?
jok3333 [9.3K]
Hi there

The markup percentage is
((23,750−22,950)÷22,950)×100
=3.5%

7 0
3 years ago
Read 2 more answers
A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot, each color has the
Nonamiya [84]

Answer:

Step-by-step explanation:

Ok guys I’m really confused

4 0
3 years ago
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