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klio [65]
3 years ago
12

30/root 3-3 root 5 Ple answer this question

Mathematics
1 answer:
adoni [48]3 years ago
4 0

\frac{30}{ \sqrt{3} - 3 \sqrt{5} } \\ \\ =\frac{30}{ \sqrt{3} - 3 \sqrt{5} } \times \frac{\sqrt{3} + 3 \sqrt{5}}{\sqrt{3} + 3 \sqrt{5}} \: \\ \\ that \: simply \: means \: multiplying \: by \: 1 \\ \\ \frac{30(\sqrt{3} + 3 \sqrt{5})}{ (\sqrt{3} + 3 \sqrt{5}) (\sqrt{3} - 3 \sqrt{5}) } \: \: \\ \\ by \: using \: formula \: {a}^{2} - {b}^{2} \\ \\ we \: get \\ \\ = \frac{30 \sqrt{3} + 90 \sqrt{5} }{ 3 - 45} \\ \\ = -  \frac{30( \sqrt{3} + 3 \sqrt{5}) }{42} \\ \\ =  - \frac{10( \sqrt{3} + 3 \sqrt{5}) }{14} \:  \:

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If the tangent of an acute angle is 1/4, what is the cosine of that angle?
ozzi

Answer:

0.97

Step-by-step explanation:

It is known that the tangent of an angle is given by the quotient between its sine and its cosine.

tan(x)=\frac{sin(x)}{cos(x)} =\frac{1}{4} \\\frac{1}{4}cos(x)=sin(x)\\

Applying the following property:

sin^2(x) +cos^2(x) = 1\\(\frac{1}{4}cos(x))^2 +cos^2(x) = 1\\\\\frac{17}{16}cos^2(x) = 1 \\cos(x)=0.97

The cosine of that angle is 0.97.

7 0
3 years ago
Help with this problem
Ne4ueva [31]

Answer:


Step-by-step explanation:

The measure of angle one is 115 degrees because the angle with 115 degrees and angle one are alternate interior angles and alternate interior angles are congruent.

The measure of angle two is also 115 degrees because angle one and angle two are vertical angles and vertical angles are congruent.

The measure of angle three is 148 degrees because same side interior angles are always supplementary (supplementary = adds up to 180 degrees).

The measure of angle four is also 148 degrees because angle three and angle four are vertical angles and vertical angles are congruent.

The measure of angle five is 32 degrees because angle five and the angle which is given to be 32 degrees are alternate interior angles and alternate interior angles are congruent.

The measure of angle six is 65 degrees because straight lines are 180 degrees on each side. Angle six and the 115 degree angle (which is given) are supplementary (adds up to 180 degrees) because definition of a straight line.

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3 years ago
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gulaghasi [49]

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

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3 years ago
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Step-by-step explanation:

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3 years ago
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You divide 166 by 2. The answer would be 83.

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3 years ago
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