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Inessa05 [86]
3 years ago
14

Can someone explain this please?

Mathematics
1 answer:
matrenka [14]3 years ago
4 0
That is hard asl rip g you done for
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Which of the following is a solution to sin(x/2) = radical 3/2
Vinvika [58]

Answer:

sin ( x/ 2 )  =  - √ 3 /2

Take the inverse sine of both sides of the equation to extract  x

from inside the sine.

x/ 2 = arcsin ( − √ 3/ 2 )

The exact value of  arcsin ( − √ 3 /2 )  is  − π /3 .

/x 2 = − π /3

Multiply both sides of the equation by  2 .

2 ⋅ x /2 = 2 ⋅ ( − π /3 )

Simplify both sides of the equation.

x = − 2 π /3

The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from  2 π , to find a reference angle. Next, add this reference angle to  π  to find the solution in the third quadrant.

x /2 = 2 π + π/ 3 + π

Simplify the expression to find the second solution.  

x = 2 π /3  

4 π

Add  4 π  to every negative angle to get positive angles.  

x = 10 π /3

The period of the  sin ( x /2 )  function is  4 π  so values will repeat every  4 π  radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer  n

Exclude the solutions that do not make  sin ( x /2 ) = − √ 3/ 2  true.

x = 10 π /3 + 4 π n , for any integer  n

4 0
3 years ago
PLEASE HELP I'M BEING TIMED!!! I WILL GIVE BRAINLIEST!! ;3333
algol [13]
Total number of plants is 74

Bilennial + perennials = 63

63 is 85% or 74
6 0
3 years ago
The ratio of 600m to 3km in simplest form
never [62]
3 km = 3000m
600m:3000m divide by 10
60:300 divide by 10
6:30 divide by 3
2:10 divide 2
*1:5* (simplest form)
6 0
3 years ago
PLEASE HELP!!!!<br><br><br> Thanks, Anyone who answers I appreciate it very much!!
Ivan

Answer:

Linear Decreasing

Step-by-step explanation:

Exponential graphs are curved, but this line is straight, so it's linear. It's decreasing since the graph moves from left to right, and as you can see, the line starts from the left tall but gradually goes lower as it goes towards the right.

6 0
2 years ago
Read 2 more answers
Darius is a broker who earns a $68,000 annual salary, a 3.15% commission on his clients’ investments, and a fee of $4.25 for eac
taurus [48]

Answer:

$187,244

Step-by-step explanation:

$68,000 annual salary + 3.15% commission + fee of $4.25 per transaction

$68,000 + 0.0315 * $3,600,000 + $4.25 * 1,375 =

= $187,243.75

Answer: $187,244

4 0
3 years ago
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