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3 years ago

11

Problem: Construct a triangle with interior angle measures of 60° and 75°. What is the measure of the third angle? 30° 45° 48° 5

0°

2 answers:

barxatty [35]3 years ago

8 0

Answer:

45

Step-by-step explanation:

Every triangle's angles must add up to 180 degrees

180 - 60 - 75 = 45

kipiarov [429]3 years ago

8 0

Answer:

45

Step-by-step explanation:

I just had it on edge and its right :)

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3 years ago

Which inequivalnet is equivalent to |x-4|<9

nikklg [1K]

Answer:

something like this?

$\left \{ {{x-4$

the top one is valid when x-4 >0

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absolute value |x-4|

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3 years ago

How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?

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$\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}
\\
\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } 
\\
\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2} } =\sqrt{ \frac{2}{4}+ \frac{ \sqrt{3} }{4} } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = 
\\
\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} 
$

$\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2} } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2} } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}} } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}} } 
\\
\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}$

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