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Salsk061 [2.6K]
3 years ago
8

What is the length of segment CD question mark

Mathematics
1 answer:
Yuri [45]3 years ago
3 0
Answer 8 this very easy
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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
An exterior angle of a triangle measures 110°. One of the interior opposite angle measures 50°. Then the other interior opposite
saw5 [17]

Answer:

60°

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the 2 interior opposite angles.

let the other interior angle be x, the

x + 50 = 110 ( subtract 50 from both sides )

x = 60

Thus the other interior opposite angle is 60°

5 0
3 years ago
Read 2 more answers
Draw a building using the scale 1 inch : 150 ft. The actual height of the building is 750ft.
NeX [460]

Answer:

Given the current information, all I can assume is that the ratio of inches to feet would make having a feet value of 750 give an inch value of 5.

Step-by-step explanation:


6 0
3 years ago
Is 2 a solution of 4x +12=4?
mojhsa [17]

Answer:

no

Step-by-step explanation:

4x +12 = 4

4(2) +12 =/= 4

8 +12 =/= 4

8 +12 = 20

(sorry if it doesn't make sense,I tried)

5 0
3 years ago
Read 2 more answers
4. A local bakery sold 60 loaves of bread in one day. If 65%
otez555 [7]

Answer: 39 loaves were sold in the afternoon

Step-by-step explanation: So basically what you do here is divide 60 by 100. That makes 0.6, 0.6 equals 1%. (60 equals 100% and that why you divide by 100) Now, you multiply 0.6 by 65. the answer is 39. 65% of the bread is 39 loaves. So 39 loaves were sold in the afternoon.

Have an amazing day! :)

7 0
3 years ago
Read 2 more answers
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