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wolverine [178]
2 years ago
9

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Mathematics
1 answer:
Talja [164]2 years ago
8 0

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

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Write the first five terms of the sequence described by the recursive formula f(1)=2,f(x)=f(x-1)*4
VladimirAG [237]

Answer:

2,8,32,128,512

Step-by-step explanation:

f(x)=f(x-1)*4

f(1)=2

f(2)=f(2-1)*4=f(1)*4=2*4=8

f(3)=f(3-1)*4=f(2)*4=8*4=32

f(4)=f(4-1)*4=f(3)*4=32*4=128

f(5)=f(5-1)*4=f(4)*4=128*4=512

5 0
3 years ago
13. The altitude of an equilateral triangle is 6 in. long. Find the length of a side of the triangle. (Hint: what triangles are
JulijaS [17]
Yeah the answer is in that file
6 0
3 years ago
Please help me with the whole page. I need the answers and calculations please!
Harman [31]
4: (3/4 - 1/2) X 3/5. 

You need them all to have the same denominator (bottom number) 
The lowest common denominator (LCM) of 2,4 and 5 is 20
4 X 5 = 20
2 X 10 = 20
5 X 4 = 20 

Then multiply the top number by the amount you need to multiply the bottom number by to get 20

3 X 5 = 15
1 X 10 = 10
3 X 4 = 12

(3/4 - 1/2) X 3/5. Turns to (15/20 - 10/20) X 12/20.

15 - 10  = 5
5 X 12 = 60

Answer: 60/20
Simplified: Either 3 or 3/1.



If you use the steps above then you should be able to do the rest :D
If you need anymore help, please ask
3 0
3 years ago
The picture Will pop up when you click on question
fiasKO [112]

Answer:

see below

Step-by-step explanation:

1. 10/16=5/6

2.14/63=2/9

3.6/14= 3/7

4.6/24= 1/3

5.7/70=1/10

6.5/10=1/2

7. 9/27= 1/3

8.6/72=1/12

9.6/27=1/3

10. 14/35= 2/5

11.12/24= 1/2

12.5/40=1/8

13.36/40=9/10

14.28/35=4/5

8 0
3 years ago
15x+27 how do you find the GCF
telo118 [61]
The correct answer would be 3 bc it goes into it 3 times!!:-D  hope I helped u
8 0
3 years ago
Read 2 more answers
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