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Paul [167]
3 years ago
14

In ΔABC, if the length of side b is 3 centimeters and the measures of ∠B and ∠C are 45° and 60°, respectively, what is the lengt

h of side c to two decimal places? 2.45 centimeters 3.67 centimeters 4.00 centimeters 5.45 centimeters
Mathematics
2 answers:
Fantom [35]3 years ago
8 0

Answer:

c=3.67\ cm

Step-by-step explanation:

we know that

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

in this problem we have

b=3\ cm, B=45\°, C=60\°

substitute and solve for c

\frac{3}{sin(45\°)}=\frac{c}{sin(60\°)}

c=sin(60\°)\frac{3}{sin(45\°)}

c=3.67\ cm

Umnica [9.8K]3 years ago
3 0
Answer is 3.67 centimeters
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3 years ago
A basketball game a team made 52 successful shots they were a combination of 1- and 2- point shots the team scored 86 points in
jasenka [17]

Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

8 0
2 years ago
Read 2 more answers
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