We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
723
3
avatar+284 

Picture...https://static.k12.com/nextgen_media/assets/8107320-NG_GMT_DP024_232_008.jpg

3. What is the measure of ∠Y ?

Round your answer to the nearest degree.

24°

26°

59°

61°

 

Picture...https://static.k12.com/nextgen_media/assets/8107323-NG_GMT_DP024_232_011.jpg

4. What is the value of g?

 

Round your answer to the nearest tenth.

18.6 ft

20.4 ft

21.4 ft

24.0 ft

 

Picture...https://static.k12.com/nextgen_media/assets/8107326-NG_GMT_DP024_232_014.jpg

5. What is m∠V ?

Round only your final answer to the nearest tenth.

53.9º

56.1º

61.9º

70.0º

 Apr 30, 2018
 #1
avatar+22581 
+3

Picture...https://static.k12.com/nextgen_media/assets/8107320-NG_GMT_DP024_232_008.jpg

3. What is the measure of ∠Y ?

Round your answer to the nearest degree.

24°

26°

59°

61°

 

\(\begin{array}{|rcll|} \hline \dfrac{ \sin(Y) } {35.2} &=& \dfrac { \sin(95^{\circ})} {86} \\ \sin(Y) &=& \dfrac { 35.2\cdot \sin(95^{\circ})} {86} \\\\ \sin(Y) &=& 0.40774480666 \\\\ \angle{Y} &=& 24.0632455972^{\circ} \\ \hline \end{array} \)

 

\( \angle{Y} = 24^{\circ} \)

 

laugh

 Apr 30, 2018
 #2
avatar+22581 
+3

Picture...https://static.k12.com/nextgen_media/assets/8107323-NG_GMT_DP024_232_011.jpg

4. What is the value of g?

 

Round your answer to the nearest tenth.

18.6 ft

20.4 ft

21.4 ft

24.0 ft

 

\(\begin{array}{|rcll|} \hline g^2 &=& 25^2+32^2-2\cdot 25\cdot 32\cdot \cos(42^{\circ}) \\ g^2 &=& 1649- 1600\cdot 0.74314482548 \\ g^2 &=& 1649- 1189.03172076 \\ g^2 &=& 459.968279236 \\ g &=& 21.4468710827\ \text{ft} \\ \hline \end{array} \)

 

\(g = 21.4\ \text{ft}\)

 

laugh

 Apr 30, 2018
 #3
avatar+22581 
+3

Picture...https://static.k12.com/nextgen_media/assets/8107326-NG_GMT_DP024_232_014.jpg

5. What is m∠V ?

Round only your final answer to the nearest tenth.

53.9º

56.1º

61.9º

70.0º

 

\(\begin{array}{|rcll|} \hline 7.4^2 &=& 8.6^2+7.6^2-2\cdot 8.6\cdot 7.6\cdot \cos(V) \\ 54.76 &=& 73.96 + 57.76 -130.72\cdot \cos(V) \\ 54.76 &=& 131.72 -130.72\cdot \cos(V) \\ 130.72\cdot \cos(V) &=& 131.72 - 54.76 \\ 130.72\cdot \cos(V) &=& 76.96 \\\\ \cos(V) &=& \dfrac{76.96}{130.72} \\\\ \cos(V) &=& 0.58873929009 \\ \angle{V} &=& 53.9324046479^{\circ} \\ \hline \end{array}\)

 

\(\angle{V} = 53.9^{\circ} \)

 

laugh

 Apr 30, 2018

6 Online Users