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Natalija [7]
2 years ago
9

Find the area of the shape. 19 yd 5 yd 6 yd 9 yd The area is

Mathematics
1 answer:
finlep [7]2 years ago
6 0

Answer:

84

Step-by-step explanation:

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Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing
olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
How do you write 1 hundred 25tens 1one ??
My name is Ann [436]
I think it would be 1251 
7 0
2 years ago
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Find the circumference of a circle with an area of 28.26.<br> Show work please.
muminat

Answer:

18.84

Step-by-step explanation:

Since the formula for circumference is C=2\pi r, we need to first find the radius. The formula for the radius is r=\frac{\sqrt{A\pi } }{\pi }, so we will get r=3. Substitute that into C=2\pi r, and we get C=18.84. Hope this helps!

<h2><u><em>Please mark brainliest!</em></u></h2>
4 0
3 years ago
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