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jeyben [28]
3 years ago
12

80 POINTS

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0
1. D. 2. D. 3.B. 4. C. 5.C. 6.A. 7.C. 8. B. 9.A. 10.D.
frez [133]3 years ago
6 0

I GOT YOU

1. b

2. b

3. b

4. c

5. c

6. a

7. c

8. b

9. a

10. d

hope this helps!

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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
U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
Pavel [41]

Answer:

The midpoint M is (5,7)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2} , \frac{y1  + y2}{2} )

U(8,9)

V(2,5)

m = [(8+2)/2 , (9+5)/2]

= [(10/2) , (14/2)]

= (5,7)

(Correct me if i am wrong)

5 0
3 years ago
What is the sum of 5 feet 9 inches and 12 feet 3 inches
mestny [16]
5 ft + 12 ft = 17 ft 

<span>9 in + 3 in = 12 in = 1 ft </span>

<span>17 ft + 1 ft = 18 ft
</span>hope this helps
6 0
2 years ago
Read 2 more answers
△FSB∼△ZDR .<br><br> What is the value of x?<br><br> Enter your answer.<br><br> How many units?
kari74 [83]
Answer: 22

---------------------------------------------------------

Explanation:

The triangles are similar, so we know the corresponding sides form ratios that are equal. 

Note how...
FS and ZD are the first two letters of FSB and ZDR respectively
FB and ZR are the first & last letters of FSB and ZDR respectively

Based on those two facts above, we can form this proportion
FS/ZD = FB/ZR
38/15.2 = 55/x

Solve for x
38/15.2 = 55/x
38*x = 15.2*55
38*x = 836
x = 836/38
x = 22

4 0
3 years ago
What in trying to find is 95-3into4 3 for 4 times. 95-3x3x3x3=_____. What can i do for this answer. ‍☠️~_~-_- -_-||
Mandarinka [93]

Answer:

14

Step-by-step explanation:

To evaluate 95 minus 3, four times

95 - 3⁴

95 - (3 * 3 * 3 * 3)

95 - (81)

95 - 81

= 14

Hence, 95 - (3 * 3 * 3 * 3) = 14

6 0
3 years ago
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