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wolverine [178]
3 years ago
11

Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

D

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

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2 years ago
Describe the three basic uses of percentages. Give a sample statement that uses percentages in each of the three ways. What is o
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3 years ago
What is x+4y=6 and y=-x+3 substituted
zavuch27 [327]
If x + 4y = 6 and you subst. -x+3 for y, you get    x + 4(-x+3) = 6.

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5 0
3 years ago
9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent
Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\         = 1156 + 1156 - 2312 cos 138\\         = 4030.150837...\\x = \sqrt{4030.150837} = 63.48x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\         = 1156 + 1156 - 2312 cos 138\\         = 4030.1508...\\     x = \sqrt{4030.1508} \\          =  63.48x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

      = 1156 + 1156 - 2312 c0s 138

      = 4030.1508...

x = sq rt 4030.1508...

  =  63.5

7 0
2 years ago
Jason ran 325 meters farther than Kim ran Kim ran 4.2 km how many meters did Jason run estimate to check your answer
exis [7]
Jason = J, Kim = K

K+325m = J
K = 4.2 km
convert km to m by multiplying by 1000
4.2km * 1000 = 4200m = K
so just plug in your values to get your answer : Jason ran 4525 meters
4200m + 325 = 4525m

7 0
3 years ago
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