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Anni [7]
3 years ago
13

Find m>X 21.04 22.62 67.38 68.96

Mathematics
1 answer:
valina [46]3 years ago
4 0

Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

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Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}  \\

From the question

a = 1 , b = 5 , c = 13

So we have

k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

k_1 =  \frac{ - 5 + 3 \sqrt{3} \: i }{2}  \:  \:  \:  \: or \\ k_2 =  \frac{ - 5 - 3 \sqrt{3}  \: i}{2}

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

Hope this helps you

8 0
2 years ago
Need help, extra points
castortr0y [4]

Answer:

around 35-42° it's one of them 2 probably 40-41°

4 0
3 years ago
Two puppies weigh 4/5 of a kilogram. if one puppy weighs 2/3 of a pound what is the weight if the other puppy?
jeyben [28]

Answer:

2/15

Step-by-step explanation:

4/5-2/3

12/15-10/15

2/15

8 0
2 years ago
HELP ME PLEASE, I NEED THIS BY TONIGHT
saul85 [17]
The first option and the third option are correct.

(Although, it's probably way too late now...)
7 0
3 years ago
Start time: 3:30 PM<br> End time: 7:00 PM<br> Elapsed time:
JulijaS [17]

Answer:

3hr 30min

Step-by-step explanation:

3hr 30min

5 0
3 years ago
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